Work

On the instability of incompressible Navier-Stokes equations with unbounded shear layer

Year: 2025

Type: article

Abstract: We considered the construction of the linear instability of the Navier-Stokes equations around an unbounded shear layer. We employed the Rayleigh-Airy iteration scheme, developed by Grenier, Guo, and Nguyen [14], to construct unstable long waves and provide a qualitative description of the instability. Moreover, the growth rate of the unstable solution sheds light on the appropriate functional space for studying the inviscid limit problem of the incompressible Navier-Stokes equations with vortex sheet initial data.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025027

Authors: Chao Wang, Yuxi Wang, Wenzhi Wu

Institutions: Peking University, Sichuan University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G603324744