We consider the existence, uniqueness and nonlinear stability of stationary solutions for the three-dimensional compressible micropolar fluids with the external force of general form. More precisely, with the weighted L2 and L∞ estimates on solutions to the linearized problem, we show the existence and uniqueness of stationary solutions in some suitable function space by the contraction mapping principle. The stability of the steady flow is studied by an elementary energy method.

中文翻译：

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可压缩微极性流体稳态解的存在性及其稳定性

我们考虑了具有一般形式外力的三维可压缩微极性流体平稳解的存在性、唯一性和非线性稳定性。更准确地说，通过对线性化问题解的加权L2和L∞估计，我们通过收缩映射原理证明了在某些合适的函数空间中平稳解的存在性和唯一性。采用初等能量法研究了稳定流的稳定性。