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

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。

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.