Interactions of delta shock waves in a strictly hyperbolic system of conservation laws

From MaRDI portal
Publication:929598

DOI10.1016/j.jmaa.2008.03.040zbMath1155.35059OpenAlexW2043260244MaRDI QIDQ929598

Michael Oberguggenberger, Marko Nedeljkov

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.040




Related Items (69)

Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial dataInteractions of delta shock waves and stability of Riemann solutions for nonlinear chromatography equationsThe Riemann problem with delta data for zero-pressure gas dynamicsOn the wave interactions for the drift-flux equations with the Chaplygin gasInteraction of oblique deflagration and shock for two-dimensional steady adiabatic combustion systemInteractions of delta shock waves for zero-pressure gas dynamics with energy conservation lawThe initial-boundary value problem for a strictly hyperbolic equationsInteraction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation lawsGlobal-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motionOne-dimensional nonlinear chromatography system and delta-shock wavesThe multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation lawsSingular solutions to the Riemann problem for a macroscopic production modelA numerical scheme for singular shock solutions and a study of its consistence in the sense of distributionsFormation of \(\delta\)-shock waves in isentropic fluidsDelta shock wave solution for a symmetric Keyfitz-Kranzer systemMultiplication of distributions and a nonlinear model in elastodynamicsSingular shock waves in interactionsStability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation lawsRadon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gasesThe perturbed Riemann problem for a geometrical optics systemSelf‐similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation lawsThe Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source termNew developments of delta shock waves and its applications in systems of conservation lawsThe free piston problem for pressureless Euler equations under the gravityNon-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensionsInteraction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equationWave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation lawsThe delta-shock wave for the two variables of a class of Temple systemHigher order shadow waves and delta shock blow up in the Chaplygin gasDelta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation lawsNew δ-shock waves in the p-system: a distributional product approachThe perturbed Riemann problem and delta contact discontinuity in chromatography equationsThe Brio system with initial conditions involving Dirac masses: a result afforded by a distributional productA shallow-water system with vanishing buoyancyExplicit solution for a class of coupled hyperbolic systems of conservation lawsSimplified chromatography model and inverse of split delta shocksMass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: IIRiemann problem and wave interactions for a Temple-class hyperbolic system of conservation lawsConservation Laws for Self-Adjoint First-Order Evolution EquationConcept of Delta-shock Type Solutions to Systems of Conservation Laws and the Rankine–Hugoniot ConditionsINTERACTIONS OF DELTA SHOCK WAVES FOR A CLASS OF NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWSProducts of distributions, conservation laws and the propagation of \(\delta'\)-shock wavesLimit relations for three simple hyperbolic systems of conservation lawsInteractions of delta shock waves for the Chaplygin gas equations with split delta functionsGlobal structure of Riemann solutions to a system of two-dimensional hyperbolic conservation lawsStability of the Riemann solutions for a nonstrictly hyperbolic system of conservation lawsThe Riemann problem with delta initial data for the one-dimensional transport equationsThe perturbed Riemann problem for a macroscopic production model with Chaplygin gasShadow waves: Entropies and interactions for delta and singular shocksThe Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flowConcentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of stateInteractions of delta shock waves for the transport equations with split delta functionsCreation, annihilation, and interaction of delta-waves in nonlinear models: a distributional product approachMass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocksFormation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous CoefficientsThe Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System*Products of distributions and collision of a δ-wave with a δ′-wave in a turbulent modelStructural stability of solutions to the Riemann problem for a scalar conservation lawRiemann problem for the isentropic Chaplygin gas Cargo-LeRoux modelEnergy dissipation admissibility condition for conservation law systems admitting singular solutionsUnnamed ItemRiemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equationsOn the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equationsInteractions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functionsStability of delta shock solution for the simplified magnetohydrodynamics equations under the linear flux-function perturbationDelta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gasShadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficitThe \(\delta'\) wave solution to a totally degenerate system of conservation lawsThe Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product



Cites Work


This page was built for publication: Interactions of delta shock waves in a strictly hyperbolic system of conservation laws