Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces

2017/12/27 by Jinlu Li, Li, Jinlu, Pingzhou Hong +3
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.1712.09546

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openalex publication_date 2017/12/27 · openalex created_date 2018/01/05 · arxiv created 2020/01/07 · arxiv updated 2020/01/08 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that the 2D viscous shallow water equations is ill-posed in the critical Besov spaces \B^\frac2p-1_p,1(\R²) with p>4. Our proof mainly depends on the method introduced by the paper \citeC-M-Z4.

Citations

• Compressible Navier-Stokes system : large solutions and incompressible limit

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