In this paper, we consider the dynamical behavior of nonautonomous MGT‐Fourier system We first establish the global existence and asymptotic behavior by semigroup method and multiplicative method. Next, we get the existence of the uniform attractors by the method of uniform contractive functions, which only need to verify compactness condition with the same type of energy estimates for establishing absorbing set. Finally, we also consider the semilinear case by semigroup method.

中文翻译：

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非自治 MGT-Fourier 系统的均匀吸引子

在本文中，我们考虑非自治 MGT-Fourier 系统的动力学行为 我们首先通过半群方法和乘法方法建立了全局存在性和渐近行为。接下来，我们通过均匀收缩函数的方法得到均匀吸引子的存在性，只需用相同类型的能量估计来验证紧性条件即可建立吸收集。最后，我们还通过半群方法考虑半线性情况。