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

DOI10.1016/j.jde.2023.08.012zbMath1528.35088arXiv2203.00309OpenAlexW4386477188MaRDI QIDQ6083305

Yao Nie, Qiong Lei Chen

Publication date: 31 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00309

zbMATH Keywords

shallow water equationscritical Besov spacesill-posednessnorm inflation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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