The asymptotic limits of solutions to the Riemann problem for the scaled leroux system
From MaRDI portal
Publication:1691291
DOI10.3934/cpaa.2018022zbMath1387.35410OpenAlexW2768557946MaRDI QIDQ1691291
Chun Shen, Wan-cheng Sheng, Mei-na Sun
Publication date: 15 January 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018022
Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65)
Related Items (9)
The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure ⋮ Global solutions of the perturbed Riemann problem for the chromatography equations ⋮ Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws ⋮ Limiting behavior of scaled general Euler equations of compressible fluid flow ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ General limiting behavior of Riemann solutions to the non-isentropic Euler equations for modified Chaplygin gas ⋮ The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space
Cites Work
- Unnamed Item
- Unnamed Item
- Global entropy solutions of Cauchy problem for the Le Roux system
- On some hyperbolic systems of temple class
- New developments of delta shock waves and its applications in systems of conservation laws
- Construction of the global solutions to the perturbed Riemann problem for the Leroux system
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
- Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit
- Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
- Spaces of weighted measures for conservation laws with singular shock solutions
- Definition and weak stability of nonconservative products
- Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
- Derivation of a Leroux system as the hydrodynamic limit of a two-component lattice gas
- Convergence of Approximated Solutions to a Nonstrictly Hyperbolic System
- Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
- Singular solutions for the shallow-water equations
- Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
- On application of kinetic formulation of the Le Roux system
- The Riemann problem for the transportation equations in gas dynamics
- Sticky Particles and Scalar Conservation Laws
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Weak Solution to Pressureless Type System
- Entropy solutions to conservation laws with singular initial data
- Systems of Conservation Laws with Invariant Submanifolds
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- Distribution solutions of nonlinear systems of conservation laws
- Note on the compressible Euler equations with zero temperature
- Well posedness for pressureless flow
This page was built for publication: The asymptotic limits of solutions to the Riemann problem for the scaled leroux system
