On the diffusive wave approximation of the shallow water equations

DOI10.1017/S0956792508007675zbMath1154.35428MaRDI QIDQ3529506

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Publication date: 13 October 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularityweak solutionsshallow water equationsdiffusive wave approximationtopographic effects

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (15)

Existence of weak solutions to a general class of diffusive shallow medium type equations ⋮ Trefftz Approximation Space for Poisson Equation in Perforated Domains ⋮ On the weak Harnack estimate for nonlocal equations ⋮ Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations ⋮ A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the scheldt estuary ⋮ A local discontinuous Galerkin method for a doubly nonlinear diffusion equation arising in shallow water modeling ⋮ On the Hölder regularity of signed solutions to a doubly nonlinear equation ⋮ A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term ⋮ Conservation Laws for Free-Boundary Fluid Layers ⋮ A numerical approach to study the properties of solutions of the diffusive wave approximation of the shallow water equations ⋮ Existence of solutions to a diffusive shallow medium equation ⋮ Accuracy and efficiency of time integration methods for 1D diffusive wave equation ⋮ Higher integrability for doubly nonlinear parabolic systems ⋮ Higher integrability for doubly nonlinear parabolic systems ⋮ Local Hölder continuity of weak solutions to a diffusive shallow medium equation

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