Global solutions to the Cauchy problem of viscous shallow water equations in some classes of large data

DOI10.3934/dcds.2024070zbMath1546.35163MaRDI QIDQ6592965

Jie Qi, Weike Wang

Publication date: 26 August 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Green's functionregularity criterionglobal existencebootstrap argumentdecay rate of solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17)

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