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
Riemann problemsystems of conservation lawsrarefaction wavesinteraction of shock wavesdelta shock wavesdelta contact discontinuities
Related Items (69)
Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data ⋮ Interactions of delta shock waves and stability of Riemann solutions for nonlinear chromatography equations ⋮ The Riemann problem with delta data for zero-pressure gas dynamics ⋮ On the wave interactions for the drift-flux equations with the Chaplygin gas ⋮ Interaction of oblique deflagration and shock for two-dimensional steady adiabatic combustion system ⋮ Interactions of delta shock waves for zero-pressure gas dynamics with energy conservation law ⋮ The initial-boundary value problem for a strictly hyperbolic equations ⋮ Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws ⋮ Global-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motion ⋮ One-dimensional nonlinear chromatography system and delta-shock waves ⋮ The multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation laws ⋮ Singular solutions to the Riemann problem for a macroscopic production model ⋮ A numerical scheme for singular shock solutions and a study of its consistence in the sense of distributions ⋮ Formation of \(\delta\)-shock waves in isentropic fluids ⋮ Delta shock wave solution for a symmetric Keyfitz-Kranzer system ⋮ Multiplication of distributions and a nonlinear model in elastodynamics ⋮ Singular shock waves in interactions ⋮ Stability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation laws ⋮ Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases ⋮ The perturbed Riemann problem for a geometrical optics system ⋮ 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 ⋮ New developments of delta shock waves and its applications in systems of conservation laws ⋮ The free piston problem for pressureless Euler equations under the gravity ⋮ Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions ⋮ Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation ⋮ Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws ⋮ The delta-shock wave for the two variables of a class of Temple system ⋮ Higher order shadow waves and delta shock blow up in the Chaplygin gas ⋮ Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws ⋮ New δ-shock waves in the p-system: a distributional product approach ⋮ The perturbed Riemann problem and delta contact discontinuity in chromatography equations ⋮ The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product ⋮ A shallow-water system with vanishing buoyancy ⋮ Explicit solution for a class of coupled hyperbolic systems of conservation laws ⋮ Simplified chromatography model and inverse of split delta shocks ⋮ Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II ⋮ Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ Conservation Laws for Self-Adjoint First-Order Evolution Equation ⋮ Concept of Delta-shock Type Solutions to Systems of Conservation Laws and the Rankine–Hugoniot Conditions ⋮ INTERACTIONS OF DELTA SHOCK WAVES FOR A CLASS OF NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWS ⋮ Products of distributions, conservation laws and the propagation of \(\delta'\)-shock waves ⋮ Limit relations for three simple hyperbolic systems of conservation laws ⋮ Interactions of delta shock waves for the Chaplygin gas equations with split delta functions ⋮ Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws ⋮ Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws ⋮ The Riemann problem with delta initial data for the one-dimensional transport equations ⋮ The perturbed Riemann problem for a macroscopic production model with Chaplygin gas ⋮ Shadow waves: Entropies and interactions for delta and singular shocks ⋮ The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow ⋮ Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state ⋮ Interactions of delta shock waves for the transport equations with split delta functions ⋮ Creation, annihilation, and interaction of delta-waves in nonlinear models: a distributional product approach ⋮ Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks ⋮ Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients ⋮ The 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 model ⋮ Structural stability of solutions to the Riemann problem for a scalar conservation law ⋮ Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model ⋮ Energy dissipation admissibility condition for conservation law systems admitting singular solutions ⋮ Unnamed Item ⋮ Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations ⋮ On the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equations ⋮ Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions ⋮ Stability of delta shock solution for the simplified magnetohydrodynamics equations under the linear flux-function perturbation ⋮ Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas ⋮ Shadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficit ⋮ The \(\delta'\) wave solution to a totally degenerate system of conservation laws ⋮ The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product
Cites Work
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Spaces of weighted measures for conservation laws with singular shock solutions
- Viscous structure of singular shocks
- Hyperbolic systems of conservation laws II
- Measure solutions to a strictly hyperbolic system of conservation laws
- Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system
- Viscous singular shock structure for a nonhyperbolic two-fluid model
- Weak Solution to Pressureless Type System
- Delta and singular delta locus for one-dimensional systems of conservation laws
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- Questions of Existence and Uniqueness for Hyperbolic Equations with Discontinuous Coefficients
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Interactions of delta shock waves in a strictly hyperbolic system of conservation laws