Existence of solutions for models of shallow water in a basin with a degenerate varying bottom

DOI10.1007/s00028-012-0137-3zbMath1259.35161OpenAlexW2089484847MaRDI QIDQ692822

Ionuţ Munteanu

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-012-0137-3

zbMATH Keywords

maximal monotone operatorsMuckenhoupt weightsfree upper surfacegreat lake equationslow wave speedsmall wave amplitude expansion

Mathematics Subject Classification ID

Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items

Viscosity effect on the degenerate lake equations, Vortex motion for the lake equations, Desingularization of a steady vortex pair in the lake equation

Cites Work

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• Weighted Norm Inequalities for the Hardy Maximal Function
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Flow invariance preserving feedback controllers for the Navier-Stokes equation.