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Stability of hydrostatic equilibrium of the 2D Boussinesq-MHD equations without magnetic diffusion in two kinds of periodic domains Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Dongjuan Niu, Huiru Wu, Pan Xu
In this paper, we investigate the nonlinear stability of 2D Boussinesq-MHD equations around the hydrostatic equilibrium state \((\overline{U},\overline{B},\overline{\Theta }, \overline{P})=(0,e_{1},y,\frac{1}{2}y^{2})\) in two kinds of periodic domains: \(\mathbb {T}\times (0,1)\) and \(\mathbb {T}\times \mathbb {R}\). Due to the absence of dissipation of magnetic field, it brings great difficulties
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Sharp corner singularity of the White–Metzner model Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Jonathan D. Evans, Christian A. Jones
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A procedure for the experimental identification of the strain gradient characteristic length Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Nasrin Rezaei, Johannes Riesselmann, Anil Misra, Daniel Balzani, Luca Placidi
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Sensitivity and wave propagation analysis of the time-fractional (3+1)-dimensional shallow water waves model Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Mehmet Şenol, Mehmet Gençyiğit, Ulviye Demirbilek, Emad A. Az-Zo’bi
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Exponential characterization of a fully damped Timoshenko-Boltzmann system Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Mauricio Barbosa da Silva, Leonel G. Delatorre, Eduardo H. Gomes Tavares, Wallace C. Ramos Junior, Taís Saito Tavares
In this article, we revisit the Timoshenko-Boltzmann system proposed by Liu and Peng [22] and characterize the exponential stability of the associated solution semigroup by considering a more general class of memory kernels. Our main result gives a slight generalization of the stability results achieved in [19, 22].
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Multiplicity and concentration of normalized solutions to p-Laplacian equations Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Qingjun Lou, Zhitao Zhang
In this paper, we study a type of p-Laplacian equation $$\begin{aligned} -\Delta _{p}u =\lambda \left| u\right| ^{p-2}u+\left| u\right| ^{q-2}u,~x \in {\mathbb {R}}^{N}, \end{aligned}$$ with prescribed mass $$\begin{aligned} \left( \,\int \limits _{{\mathbb {R}}^{N}}|u|^{p}\right) ^{\frac{1}{p}}=c>0, \end{aligned}$$ where \(1
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Existence of a positive solution for a class of Schrödinger logarithmic equations on exterior domains Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-10 Claudianor O. Alves, Ismael S. da Silva
In this paper we will prove the existence of a positive solution for a class of Schrödinger logarithmic equation of the form. $$\begin{aligned} \left\{ \begin{aligned} -\Delta u&+ u =Q(x)u\log u^2,\;\;\hbox {in}\;\;\Omega , \\&{\mathcal {B}}u=0 \,\,\, \hbox {on} \,\,\, \partial \Omega , \end{aligned} \right. \end{aligned}$$ where \(\Omega \subset {\mathbb {R}}^N\), \(N \ge 3\), is an exterior domain
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A general degenerate reaction-diffusion model for acid-mediated tumor invasion Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-08 Fang Li, Zheng-an Yao, Ruijia Yu
In this paper, we continue the research in Li et al. (J Differ Equ 371:353–395, 2023) and study the linear and global stability of a class of reaction-diffusion systems with general degenerate diffusion. The establishment of these systems is based on the acid-mediated invasion hypothesis, which is a candidate explanation for the Warburg effect. Our theoretical results characterize the effects of acid
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Globally bounded solutions in a 2D chemotaxis-Navier–Stokes system with general sensitivity and nonlinear production Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-02
Abstract We study the following chemotaxis-Navier–Stokes system with general sensitivity and nonlinear production ⋆ $$\begin{aligned} \left\{ \begin{aligned}&n_t+u\cdot \nabla n=\Delta n-\nabla \cdot (nf(n)\nabla c), \\&c_t+u\cdot \nabla c=\Delta c-c+g(n),\\&u_t+(u\cdot \nabla )u+\nabla P=\Delta u+n \nabla \phi , ~ \nabla \cdot u=0 \end{aligned} \right. \end{aligned}$$ in a bounded domain \(\Omega
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Global well-posedness and optimal decay for incompressible MHD equations with fractional dissipation and magnetic diffusion Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-01 Meilin Jin, Quansen Jiu, Yaowei Xie
In this paper, we investigate the n-dimensional incompressible magnetohydrodynamic (MHD) equations with fractional dissipation and magnetic diffusion. Firstly, employing energy methods, we demonstrate that if the initial data is sufficiently small in \(H^s(\mathbb {R}^n)\) with \(s=1+\frac{n}{2}-2\alpha ~(0<\alpha <1)\), then the system possesses a global solution. In order to establish the uniqueness
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A power-law model for nonlinear phonon hydrodynamics Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-01
Abstract The Guyer–Krumhansl equation for the heat flux is a phenomenological bridge between Fourier heat transport (for size of the system much bigger than the mean free path of heat carriers) and hydrodynamic heat transport (for size of the system comparable to the mean free path of heat carriers). The corresponding phonon hydrodynamics is analogous to Newtonian hydrodynamics, but with the velocity
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Integral representations for products of two solutions of the Airy equation with shifted arguments and their applications in physics Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-01 Kirill V. Bazarov, Oleg I. Tolstikhin
Integral representations for a complete set of linearly independent products of two solutions of the Airy equation whose arguments differ by \(z_0\) are obtained using the Laplace contour integral method. This generalizes similar integral representations for the case \(z_0=0\) obtained by Reid. The relation to other previous results is discussed. The results are used to obtain the outgoing-wave Green’s
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Asymptotic estimates of large solutions to the infinity Laplacian equations Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-04-01 Ling Mi, Chuan Chen
The article is intend to study the asymptotic behavior of the large solutions near the boundary to the following infinity Laplace equation \(\triangle _{\infty }^{h} u =b(x)f(u), \ x\in \Omega ,\ u|_{\partial \Omega }=+\infty ,\) where \( \triangle _{\infty }^{h}u:= |Du|^{h-3}\langle D^{2}uDu, Du \rangle \) for all \(h>1,\) \(\Omega \) is a bounded domain with smooth boundary in \(\mathbb R^N\), \(b
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Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-30 ChungGuk Kim, Jisong Pak, Cholmin Sin, Evgenii S. Baranovskii
In this paper, we show that a weak solution to 3D shear-thinning flows becomes strong provided that the gradient of one component of velocity belongs to a certain Lebesgue space class.
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A nonlocal Lagrangian traffic flow model and the zero-filter limit Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15
Abstract In this study, we start from a Follow-the-Leaders model for traffic flow that is based on a weighted harmonic mean (in Lagrangian coordinates) of the downstream car density. This results in a nonlocal Lagrangian partial differential equation (PDE) model for traffic flow. We demonstrate the well-posedness of the Lagrangian model in the \(L^1\) sense. Additionally, we rigorously show that our
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On the non-existence of real-valued, analytical mass-density solutions corresponding to an expansion or compression of an ideal gas along the streamlines, by considering a steady, isentropic, 2D-flow through a Laval nozzle in orthogonal curvilinear coordinates in the Euclidean 2D-space Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15
Abstract Assuming that the streamlines are given by keeping constant one of the two orthogonal curvilinear coordinates in the Euclidean two-dimensional space, while considering a steady, two-dimensional, isentropic flow of an ideal gas through a convergent-divergent nozzle, and thus parallel to the curvilinear upper and lower walls of the nozzle, the theory of differential geometry together with the
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Constant-sign and nodal solutions for singular quasilinear Lane–Emden type systems Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Abdelkrim Moussaoui
We establish the existence of multiple solutions for singular quasilinear Lane–Emden type systems with a precise sign information: two unique solutions of opposite constant sign and a nodal solution with at least components of opposite constant sign. For sign-coupled systems, these components are of changing and synchronized sign. The approach combines sub-supersolutions method and Leray–Schauder topological
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SH waves in a weakly inhomogeneous half space with a nonlinear thin layer coating Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Semra Ahmetolan, Ali Demirci, Ayse Peker-Dobie, Nese Ozdemir
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The Riemann problem for the generalized Chaplygin gas with a potential Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Davor Kumozec, Marko Nedeljkov
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Boundedness and stability of a quasilinear three-species predator–prey model with competition mechanism Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Sijun Zhao, Wenjie Zhang, Hui Wang
In this paper, we consider the following quasilinear three-species predator–prey model with competition mechanism $$\begin{aligned} {\left\{ \begin{array}{ll} u_{t} =\nabla \cdot \left( \phi _1\left( u\right) \nabla u\right) -\nabla \cdot \left( u \psi _1\left( u\right) \nabla w\right) + \gamma _1 u w -\theta _1 u -\mu _1 u v, \\ v_{t} =\nabla \cdot \left( \phi _2\left( v\right) \nabla v\right) -\nabla
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Nonnegative weak solutions for a mathematical model of atherosclerosis in the early stage Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Yanning An, Wenjun Liu
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Existence of global weak solutions of inhomogeneous incompressible Navier–Stokes system with mass diffusion Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Eliott Kacedan, Kohei Soga
This paper proves existence of a global weak solution to the inhomogeneous (i.e., non-constant density) incompressible Navier–Stokes system with mass diffusion. The system is well-known as the Kazhikhov–Smagulov model. The major novelty of the paper is to deal with the Kazhikhov–Smagulov model possessing the non-constant viscosity without any simplification of higher order nonlinearity. Every global
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Numerical solution of fractional PDEs through wavelet approach Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Li Yan, S. Kumbinarasaiah, G. Manohara, Haci Mehmet Baskonus, Carlo Cattani
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Long-time behavior of delay differential quasi-variational–hemivariational inequalities and application to contact problems Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Nguyen Thi Van Anh, Tran Van Thuy
In this article, we study a class of differential quasi-variational–hemivariational inequalities involving time delays. We establish new systems and prove the solvability and the existence of decay solutions. Moreover, we are concerned with long-time behavior of solutions by showing the existence of a compact global attractor to m-semiflow associated with delay differential quasi-variational–hemivariational
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About the onset of the Hopf bifurcation for convective flows in horizontal annuli Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Arianna Passerini, Galileo Sette
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Normalized solutions for a biharmonic Choquard equation with exponential critical growth in $$\mathbb {R}^4$$ Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15
Abstract In this paper, we study the following biharmonic Choquard-type problem $$\begin{aligned} \begin{aligned} \left\{ \begin{array}{ll} \Delta ^2u-\beta \Delta u=\lambda u+(I_\mu *F(u))f(u), \quad \text{ in }\ \ \mathbb {R}^4,\\ \displaystyle \int \limits _{\mathbb {R}^4}|u|^2\textrm{d}x=c^2>0,\quad u\in H^2(\mathbb {R}^4), \end{array} \right. \end{aligned} \end{aligned}$$ where \(\beta \ge 0\)
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Exponential decay for inhomogeneous viscous flows on the torus Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15 Raphaël Danchin, Shan Wang
We are concerned with the isentropic compressible Navier–Stokes system in the two-dimensional torus, with rough data and vacuum; the initial velocity belongs to the Sobolev space \(H^1\) and the initial density is only bounded and nonnegative. Arbitrary regions of vacuum are admissible, and no compatibility condition is required. Under these assumptions and for large enough bulk viscosity, global solutions
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Global boundedness and asymptotic behavior of solutions to a three-dimensional immune chemotaxis system Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-15
Abstract In a bounded smooth domain \(\Omega \subset \mathbb {R}^3\) and with a positive parameter \(\chi >0\) , this paper is devoted to investigating the global boundedness and asymptotic behavior of solutions to a immune chemotaxis system. By establishing the uniform boundedness of \(L^\infty \) -norm for immune cells and the uniform boundedness of \(L^q\) -norm with \(q\in (3,\infty )\) for the
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Integral representations for the double-diffusivity system on the half-line Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-03-01 Andreas Chatziafratis, Elias C. Aifantis, Anthony Carbery, Athanassios S. Fokas
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Transient electrophoresis of a conducting cylindrical colloidal particle suspended in a Brinkman medium Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-28 Mai Ayman, E. I. Saad, M. S. Faltas
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Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-27 Tomáš Roubíček
The thermodynamic model of viscoelastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also, effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The Kelvin–Voigt rheology with a higher-order viscosity (exploiting the concept of multipolar materials) is used, allowing for physically relevant frame-indifferent stored
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Hyperbolicity of the ballistic-conductive model of heat conduction: the reverse side of the coin Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-27 S. A. Rukolaine
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A higher-order nonlocal elasticity continuum model for deterministic and stochastic particle-based materials Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-27 Gabriele La Valle, Christian Soize
This paper proposes, for particle-based materials, a higher-order nonlocal elasticity continuum model that includes the Piola peridynamics and the Eringen nonlocal elasticity. When referring to particle-based materials, we denote systems that can be modeled as assemblies of material points (or particles). Note that this paper is not devoted to granular materials, then factors such as the topology of
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Optimal control problem governed by wave equation in an oscillating domain and homogenization Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-27 Luisa Faella, Ritu Raj, Bidhan Chandra Sardar
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Nonlocal Yajima–Oikawa system: binary Darboux transformation, exact solutions and dynamic properties Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Caiqin Song, Hai-qiong Zhao, Zuo-nong Zhu
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An efficient and explicit local image inpainting method using the Allen–Cahn equation Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Jian Wang, Ziwei Han, Junseok Kim
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Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26
Abstract This article explores the Hilfer fractional derivative within the context of fractional differential equations and investigates a mathematical model formulated as a three-point boundary value problem (BVP). The primary focus is on the application of these models to analyze the jet flow of the Antarctic Circumpolar Current. The study establishes the existence of stream functions using Schaefer’s
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Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Yangyang Shi, Fangyuan Chen, Liping Wang, Xuebing Zhang
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On the importance of modified continuum mechanics to predict the vibration of an embedded nanosphere in fluid Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Xin Huang, Adil El Baroudi, Jean Yves Le Pommellec, Amine Ammar
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Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Francesco De Anna, Joshua Kortum, Stefano Scrobogna
We address the Prandtl equations and a physically meaningful extension known as hyperbolic Prandtl equations. For the extension, we show that the linearised model around a non-monotonic shear flow is ill-posed in any Sobolev spaces. Indeed, shortly in time, we generate solutions that experience a dispersion relation of order \(\root 3 \of {k}\) in the frequencies of the tangential direction, akin the
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Stochastic diffusion within expanding space–time Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-26 Philip Broadbridge, Illia Donhauzer, Andriy Olenko
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On a mathematical model for cancer invasion with repellent pH-taxis and nonlocal intraspecific interaction Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-14 Maria Eckardt, Christina Surulescu
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On some direct and inverse problems for an integro-differential equation Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-14
Abstract The direct and two inverse problems defined for an integro-differential equation on a bounded domain have been considered. The spectral problem of the integro-differential equation constitutes the Legendre differential equation in space variable. Finding a space-dependent source term whenever the data at some time, say T, as over-specified condition, constitutes the Ist inverse problem. The
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Dynamical behavior of solutions of a reaction–diffusion–advection model with a free boundary Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-14 Ningkui Sun, Di Zhang
This paper is devoted to study the population dynamics of a single species in a one-dimensional environment which is modeled by a reaction–diffusion–advection equation with free boundary condition. We find three critical values \(c_0\), 2 and \(\beta ^*\) for the advection coefficient \(-\beta \) with \(\beta ^*>2>c_0>0\), which play key roles in the dynamics, and prove that a spreading-vanishing dichotomy
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Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer–Kaup–Kupershmidt system Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-12 Mohamed Rahioui, El Hassan El Kinani, Abdelaziz Ouhadan
The nonlocal residual symmetries of a generalized Broer–Kaup–Kupershmidt system are constructed using the truncated Painlevé expansion. By considering appropriate potential variables, these nonlocal symmetries are localized into Lie point symmetries by prolonging the generalized Broer–Kaup–Kupershmidt system to an enlarged system. Moreover, multiple residual symmetries of the studied system are derived
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Properties of a class of quasi-periodic Schrödinger operators Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-12 Jiahao Xu, Xu Xia
In this paper, a class of models with deep physical meaning is studied through duality, and positive Lyapunov exponents and some spectral properties are obtained under certain conditions.
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Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-10
Abstract Considered herein is the well-posedness, asymptotic stability and blow-up of the initial-boundary value problem for nonlocal singular viscoelastic wave equation with logarithmic nonlinearity \(u_{tt}-\frac{1}{x}(x u_{x})_x-\frac{1}{x}(x u_{xt})_x+\int \limits _{0}^{t}m(t-\lambda )\frac{1}{x}(x u_{x}(x, \lambda ))_x \hbox {d}\lambda =|u|^{r-2}u\ln |u|\) subject to a nonlocal boundary condition
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Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-10 Ling Zhou, Chun-Lei Tang
We study an initial-boundary value problem of two-dimensional nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity \(\mu (\rho )\). Applying Desjardins’ interpolation inequality and delicate energy estimates, we show the global-in-time existence of a unique strong solution when \(\Vert \nabla \mu (\rho _0)\Vert _{L^q}\) is properly small. Moreover, we prove that the
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Normalized bound states for the Choquard equations in exterior domains Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-10 Shubin Yu, Chen Yang, Chun-Lei Tang
In this paper, we investigate the following nonlinear Choquard equation with prescribed \(L^2\)-norm constraint $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta u=\lambda u+(|x|^{-1} *|u|^2)u &{}\text{ in }\ {\Omega }, \\ u=0&{}\text{ on }\ {\partial \Omega }, \\ \int \limits _\Omega |u|^2{\textrm{d}}x=a^2,\\ \end{array} \right. \end{aligned}$$ where \(a>0\), \(\lambda \in \mathbb R\) appears as
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Time-periodic traveling wave solutions of a reaction–diffusion Zika epidemic model with seasonality Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-10 Lin Zhao
In this paper, the full information about the existence and nonexistence of a time-periodic traveling wave solution of a reaction–diffusion Zika epidemic model with seasonality, which is non-monotonic, is investigated. More precisely, if the basic reproduction number, denoted by \(R_{0}\), is larger than one, there exists a minimal wave speed \(c^* > 0\) satisfying for each \(c > c^*\), the system
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Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-02-10 Gaihui Guo, Shihan Zhao, Danfeng Pang, Youhui Su
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Boundedness and large-time behavior in a chemotaxis system with signal-dependent motility arising from tumor invasion Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-30
Abstract In this paper, we study the following chemotaxis system with signal-dependent motility arising from tumor invasion $$\begin{aligned} \left\{ \begin{aligned}&u_t=\Delta (\varphi (v)u)+\rho u -\mu u^l,&\qquad \quad x\in \Omega ,\,t>0,\\&v_t=\Delta v+ wz,&\qquad \quad x\in \Omega ,\,t>0,\\&w_t=-wz,&\qquad \quad x\in \Omega ,\,t>0,\\&z_t=\Delta z-z+u,&\qquad \quad x\in \Omega ,\,t>0 \end{aligned}
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Existence and asymptotic behavior of positive solutions to some logarithmic Schrödinger–Poisson system Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-30 Lichao Cui, Anmin Mao
In this paper, we consider the following logarithmic Schrödinger–Poisson system $$\begin{aligned} \left\{ \begin{aligned}&- \Delta u + V(x) u + \lambda K(x)\phi u = f(u) + u \log u^2,&x \in {\mathbb {R}}^{3},\\&- \Delta \phi - \varepsilon ^4 \Delta _4 \phi = \lambda K(x) u^2,&x \in {\mathbb {R}}^{3},\\ \end{aligned} \right. \end{aligned}$$ which has increasingly received interest due to the indefiniteness
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Dynamical analysis of a spatial memory prey–predator system with gestation delay and strong Allee effect Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-29 Luhong Ye, Hongyong Zhao, Daiyong Wu
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Normalized solutions to planar Schrödinger equation with exponential critical nonlinearity Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-28 Shuai Mo, Lixia Wang
This paper is concerned with the following planar Schrödinger equation $$\begin{aligned} \left\{ \begin{aligned}&-\Delta u+\lambda u = f(u),&x \in {\mathbb {R}}^{2},\\&\mathop \int \limits _{{\mathbb {R}}^2}u^2dx=c,&\lambda \in {\mathbb {R}}^+. \end{aligned}\right. \end{aligned}$$ where \(f \in {\mathcal {C}}({\mathbb {R}},{\mathbb {R}})\) is of critical exponential growth. We obtain the existence
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Stability and decay estimates of the 2D incompressible magneto-micropolar fluid system with partial viscosity on a flat strip Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-28 Dongxiang Chen, Xiaoli Li
In this paper, the authors establish the stability and the explicit decay estimates of the 2D incompressible magneto-micropolar fluid equations without magnetic diffusion and zero spin viscosity on a flat strip \(\Omega :={\mathbb {T}}\times [0,1]\) under the assumption that Navier type condition being imposed. The results are obtained heavily based on some time-weight energy estimates and a bootstrap
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Green’s functions for an anisotropic elastic matrix containing an elliptical incompressible liquid inclusion Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-28 Xu Wang, Peter Schiavone
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Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-28
Abstract In this paper, we study the asymptotic behavior of the stationary 3D magneto-micropolar fluid flow through a thin domain, whose thickness is given by a parameter \(0<\varepsilon \ll 1\) . Assuming that the magnetic Reynolds number is written in terms of the thickness \(\varepsilon \) , we prove that there exists a critical magnetic Reynolds number, namely \(Re_m^c=\varepsilon ^{-2}\) , such
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Bifurcation analysis of a delayed diffusive predator–prey model with spatial memory and toxins Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-28 Ming Wu, Hongxing Yao
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Nonlinear perturbations of a periodic Kirchhoff–Boussinesq-type problems in $$\mathbb {R}^{N}$$ Z. Angew. Math. Phys. (IF 2.0) Pub Date : 2024-01-27 Romulo D. Carlos, Giovany M. Figueiredo
This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff–Boussinesq-type problems given by $$\begin{aligned} \Delta ^{2} u \pm \Delta _{p} u +V(x)u= f(u) +\gamma |u|^{2_{**}-2}u \ \ \text{ in } \ \ \mathbb {R}^{N}, \end{aligned}$$ where \(2< p< 2^{*}= \frac{2N}{N-2}\) for \( N\ge 3\) and \(2_{**}= \infty \) for \(N=3\), \(N=4\), \(2_{**}= \frac{2N}{N-4}\)