Singular solutions for the shallow-water equations
From MaRDI portal
Publication:3165712
DOI10.1093/imamat/hxs014zbMath1257.35123OpenAlexW2051573010MaRDI QIDQ3165712
Darko Mitrović, Henrik Kalisch
Publication date: 29 October 2012
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/7b8fbc0ffc244a26290527ed9506793ca4d3aac1
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (30)
Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure ⋮ Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation ⋮ On existence and admissibility of singular solutions for systems of conservation laws ⋮ Delta shock waves in shallow water flow ⋮ Limiting behavior of scaled general Euler equations of compressible fluid flow ⋮ Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term ⋮ The multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation laws ⋮ The vanishing pressure limits of Riemann solutions to the Isothermal two-phase flow model under the external force ⋮ The Riemann problem for the Chaplygin gas equations with a source term ⋮ Formation of \(\delta\)-shock waves in isentropic fluids ⋮ Concentration phenomena of Riemann solutions to a logarithmic perturbed model ⋮ Delta shock wave solution for a symmetric Keyfitz-Kranzer system ⋮ The asymptotic limits of solutions to the Riemann problem for the scaled leroux system ⋮ The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law ⋮ Self‐similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws ⋮ The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ Multiplication of distributions and singular waves in several physical models ⋮ Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation ⋮ The exact Riemann solutions to the generalized pressureless Euler equations with dissipation ⋮ New δ-shock waves in the p-system: a distributional product approach ⋮ Vanishing viscosity limit for a system of balance laws with general type initial data arising from 1D Saint-Venant model ⋮ Riemann problems for a class of coupled hyperbolic systems of conservation laws with a source term ⋮ A shallow-water system with vanishing buoyancy ⋮ Delta shock waves in the shallow water system ⋮ Stability of Riemann solutions to pressureless Euler equations with Coulomb-like friction by flux approximation ⋮ Creation, annihilation, and interaction of delta-waves in nonlinear models: a distributional product approach ⋮ Delta shock wave and wave interactions in a thin film of a perfectly soluble anti-surfactant solution ⋮ The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System* ⋮ Non-standard shocks in the Buckley-Leverett equation
This page was built for publication: Singular solutions for the shallow-water equations
