Cauchy problem for viscous rotating shallow water equations

DOI10.1016/j.jde.2009.09.008zbMath1179.35240arXiv0806.4504OpenAlexW2093492032MaRDI QIDQ1040606

Ling Hsiao, Hai-liang Li, Cheng Chun Hao

Publication date: 25 November 2009

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

Full work available at URL: https://arxiv.org/abs/0806.4504

zbMATH Keywords

Cauchy problemBesov spacesglobal well-posednessviscous compressible rotating shallow water system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (11)

On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum ⋮ The Cauchy problem for the two layer viscous shallow water equations ⋮ Global well-posedness for the viscous shallow water system with Korteweg type ⋮ Vanishing viscosity limit of the rotating shallow water equations with far field vacuum ⋮ Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity ⋮ Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces ⋮ Unnamed Item ⋮ Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System ⋮ Existence of strong solutions to the rotating shallow water equations with degenerate viscosities ⋮ Well-posedness for the viscous rotating shallow water equations with friction terms ⋮ Formation of singularity for the classical solutions of the rotating shallow water system

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