Local Well-Posedness of the Two-Layer Shallow Water Model with Free Surface

DOI10.1137/140957020zbMath1339.35164arXiv1402.3194OpenAlexW2962840446MaRDI QIDQ3195456

Ronan Monjarret

Publication date: 19 October 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3194

zbMATH Keywords

vorticityhyperbolicitysymmetrizability

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalues, singular values, and eigenvectors (15A18) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Singular limits of the Cauchy problem to the two-layer rotating shallow water equations ⋮ Models and methods for two-layer shallow water flows ⋮ Numerical scheme for multilayer shallow-water model in the low-Froude number regime ⋮ Nonlinear stability of two-layer shallow water flows with a free surface ⋮ The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models ⋮ Analysis of the Riemann Problem for a Shallow Water Model with Two Velocities ⋮ The multilayer shallow water system in the limit of small density contrast ⋮ Centered-Potential Regularization for the Advection Upstream Splitting Method

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