On circular flows: Linear stability and damping

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Zillinger, Christian¹ 

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

关键词: 2D Euler equations;    Linear inviscid damping;    Taylor Couette flow;    Boundary effects;    Boundary layer;    Blow-up;   

DOI  :  10.1016/j.jde.2017.08.026

来源: Elsevier

【 摘 要 】

In this article we establish linear inviscid damping with optimal decay rates around 2D Taylor Couette flow and similar monotone flows in an annular domain B-r2 (0) \ B-r1 (0) subset of R-2. Following recent results by Wei, Zhang and Zhao [10], we establish stability in weighted norms, which allow for a singularity formation at the boundary, and additionally provide a description of the blow-up behavior. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free