Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type
From MaRDI portal
Publication:2276670
DOI10.1016/0022-0396(90)90030-SzbMath0725.35063MaRDI QIDQ2276670
Publication date: 1990
Published in: Journal of Differential Equations (Search for Journal in Brave)
shockexistenceuniquenessRiemann problemviscosityrarefaction wavesentropy rate criterionvan der Waals fluidadmissibility criteria
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65)
Related Items
The Riemann problem for thermoelastic materials with phase change, Traveling waves in a relaxation system, The Riemann problem for a class of nonlinear degenerate equations, Layer dynamics and phase transition for non-linear thermoviscoelasticity, A Consistency Study of Coarse-Grained Dynamical ChainsthroughaNonlinearWaveEquationofMixed Type, Propagating phase boundaries: Formulation of the problem and existence via the Glimm method, The Riemann problem and the existence of weak solutions to a system of mixed-type in dynamic phase transition, Admissible Riemann solvers for genuinely nonlinear \(p\)-systems of mixed type, Numerical solution of a virtual internal bond model for material fracture, Transition to detonation in dynamic phase changes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The viscosity-capillarity criterion for shocks and phase transitions
- Change of type in three-phase flow: A simple analogue
- The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion: Nonisothermal case
- The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion-isothermal case
- The propagation of phase boundaries in elastic bars
- Perturbation of the Riemann problem in gas dynamics
- The Riemann problem for a class of conservation laws of mixed type
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- Hyperbolic systems of conservation laws II
- Admissible solutions of hyperbolic conservation laws
- Admissibility criteria for shock wave solutions of a system of conservation laws of mixed type
- The Riemann Problem for General 2 × 2 Conservation Laws