On the “Vacuum” Dam-Break Problem: Exact Solutions and Their Long Time Asymptotics

DOI10.1137/19M1266836zbMath1461.35187OpenAlexW2997691404MaRDI QIDQ5207543

Giuseppe Pitton, Marco Pedroni, Gregorio Falqui, Roberto Camassa, Giovanni Ortenzi

Publication date: 3 January 2020

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

Full work available at URL: https://doi.org/10.1137/19m1266836

zbMATH Keywords

conservation lawsweak solutionsvacuum statesshallow water dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Weak solutions to PDEs (35D30)

Related Items

Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential, Evolution of interface singularities in shallow water equations with variable bottom topography

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