一类时滞非自治微极流体在二维有界域上的适定性
The Well-Posedness of a Delayed Non-Autonomous Micropolar Fluid on 2D Bounded Domains
DOI: 10.12677/AAM.2023.125209, PDF, HTML, 下载: 206  浏览: 287 
作者: 王启玲:重庆师范大学数学科学学院,重庆
关键词: 微极流体无限时滞适定性Micropolar Fluid Delay Well-Posedness
摘要: 本文研究了一类非自治的时滞微极流体方程在二维有界域上的整体适定性。首先用 Garlekin方法建立了解的存在性,然后利用能量估计的方法得到了解的唯一性和稳定性。
Abstract: In this paper, we study the well-poseness of a non-autonomous delayed micropolar fluid on 2D bounded domains. We prove the existence of solutions by the method of the Garlerin approximation. Then we use the energy method to prove the uniqueness and the stability of solutions.
文章引用:王启玲. 一类时滞非自治微极流体在二维有界域上的适定性[J]. 应用数学进展, 2023, 12(5): 2049-2066. https://doi.org/10.12677/AAM.2023.125209

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