On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results

DOI10.1016/j.na.2004.01.009zbMath1073.76005OpenAlexW2134249470MaRDI QIDQ1888599

María Luz Muñoz-Ruiz

Publication date: 26 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.01.009

zbMATH Keywords

Nonlinear partial differential equationsShallow-water equationsBi-layer modelNon-homogeneous problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (4)

MATHEMATICAL ANALYSIS OF A SAINT-VENANT MODEL WITH VARIABLE TEMPERATURE ⋮ The Cauchy problem for the two layer viscous shallow water equations ⋮ An efficient two-layer non-hydrostatic approach for dispersive water waves ⋮ Existence of a global weak solution for a 2D viscous bi-layer shallow water model

Cites Work

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• On a bi-layer shallow-water problem
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• On a nonhomogeneous bi-layer shallow-water problem: an existence theorem.
• On a non-homogeneous shallow-water problem
• Improvement and generalization of a finite element shallow-water solver to multi-layer systems

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