Weak and classical solutions to an asymptotic model for atmospheric flows

DOI10.1016/J.JDE.2023.05.023zbMath1516.35188arXiv2304.08985MaRDI QIDQ6155343

Bogdan-Vasile Matioc, Luigi Roberti

Publication date: 12 June 2023

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

Full work available at URL: https://arxiv.org/abs/2304.08985

zbMATH Keywords

global weak solutionlocal well-posednessatmospheric flows

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86) Quasilinear parabolic equations (35K59)

Cites Work

• Ordinary differential equations and dynamic systems.
• Compact sets in the space \(L^ p(0,T;B)\)
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Anisotropic estimates and strong solutions of the primitive equations.
• On the principle of linearized stability in interpolation spaces for quasilinear evolution equations
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Finite Elemente
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