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Pure Mathematics 2025
不可压微极流方程组的稳定性研究
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Abstract:
本文研究了不可压微极流方程组的稳定性问题。论文首先介绍了微极流方程组的背景以及它的研究现状，给出了本文的研究内容与结论。其次给出了论文相关的不等式及相关的引理。最后证明了论文的主要定理，通过频率分解方法得到了方程组在平衡态附近扰动后解的稳定性。
This paper investigates the stability problem of incompressible micropolar equations. It begins by introducing the background of micropolar equations and their current research status, presenting the research content and conclusions of this study. Subsequently, relevant inequalities and lemmas pertinent to the paper are provided. Finally, the main theorem of the paper is proved, and the stability of solutions to the equations following a perturbation near the equilibrium state is obtained through the method of frequency decomposition.
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