The Riemann problem for general systems of conservation laws
From MaRDI portal
Publication:1214330
DOI10.1016/0022-0396(75)90091-1zbMath0297.76057OpenAlexW2096129790MaRDI QIDQ1214330
Publication date: 1975
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(75)90091-1
Related Items
Entropy production and admissibility of shocks, Quadratic interaction estimate for hyperbolic conservation laws: an overview, The role of sonic shocks between two- and three-phase states in porous media, BASIC ESTIMATES FOR A FRONT TRACKING ALGORITHM FOR GENERAL 2×2 CONSERVATION LAWS, The lower bound for the volume product \(V_ n(K)V_ n(K^*)\), A multiscale method for compressible liquid-vapor flow with surface tension, Hyperbolic conservation laws with relaxation, The two dimensional gas expansion problem of the Euler equations for a class of pressure laws, Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws, Wave curves for the Riemann problem of plane waves in isotropic elastic solids, Global versus local admissibility criteria for dynamic phase boundaries, Finite volume simulation of cavitating flows, Existence theory by front tracking for general nonlinear hyperbolic systems, Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions, Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems, Asymptotic Analysis of a Hyperbolic Mixed Problem in One‐Dimensional Viscoelasticity, A method for reducing numerical dispersion in two-phase black-oil reservoir simulation, Géométrie des systèmes hyperboliques de lois de conservation, Assessment of Riemann solvers for unsteady one-dimensional inviscid flows of perfect gases, The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion: Nonisothermal case, A class of hyperbolic systems of conservation laws satisfying weaker conditions than genuine nonlinearity, Nonlinear waves for viscoelasticity with fading memory, Applications of the finite volume method for complex flows: from the theory to the practice, A well posed conservation law with a variable unilateral constraint, Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws, Higher order Godunov methods for general systems of hyperbolic conservation laws, Modeling and numerical simulation of some dynamical phenomena involving elastic-nonlinear bars, A theorem in ordinary differential equations with an application to hyperbolic conservation laws, On the compressible Euler dynamics equations in transonic flow, Quasilinear hyperbolic systems, Elementary wave interactions in blood flow through artery, On compactness estimates for hyperbolic systems of conservation laws, Admissibility region for rarefaction shock waves in dense gases, On the wave interactions in the drift-flux equations of two-phase flows, On the expansion of a wedge of van der Waals gas into a vacuum. II, Asymptotic stability of relaxation shock profiles for hyperbolic conservation laws., Conditions on a discontinuity of generalized similarity solutions of quasilinear systems, Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems, Solution of the Riemann problem of classical gasdynamics., The flow of a combustible mixture with a Chapman-Jouguet detonation wave around a cone, Nonlinear wave interactions in geochemical modeling, Riemann solutions without an intermediate constant state for a system of two conservation laws, Analytical and numerical solutions for carbonated waterflooding, Properties of Rankine-Hugoniot curves for van der Waals fluids., Admissible wave fans in nonlinear hyperbolic systems, Spectral stability of shock waves associated with not genuinely nonlinear modes, Solving the Riemann problem for realistic astrophysical fluids, Shock-induced energy conversion of entropy in non-ideal fluids, Hyperbolic stochastic Galerkin formulation for the \(p\)-system, A unified Eulerian framework for multimaterial continuum mechanics, Classification of \(2\times{} 2\) non-strictly hyperbolic systems for plane waves in isotropic elastic solids, Global solutions for initial-boundary value problem of quasilinear wave equations, Maximum intensity of rarefaction shock waves for dense gases, A higher-order Godunov method for the equations of ideal magnetohydrodynamics, A quadratic interaction estimate for conservation laws: motivations, techniques and open problems, Hyperbolic systems of conservation laws with some special invariance properties, On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material, Wave curves with the presence of an umbilic point and an umbilic line for plane waves in isotropic elastic solids, A numerical study of a rotationally degenerate hyperbolic system. I: The Riemann problem, A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting, A global formalism for nonlinear waves in conservation laws, La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles, Propagating phase boundaries: Formulation of the problem and existence via the Glimm method, Existence in the Large for Riemann Problems for Systems of Conservation Laws, Exchange of conserved quantities, shock loci and Riemann problems, Sonic hyperbolic phase transitions and Chapman-Jouguet detonations, A locally quadratic Glimm functional and sharp convergence rate of the Glimm scheme for nonlinear hyperbolic systems, On the stability of the standard Riemann semigroup, The Uniqueness and Stability of the Solution of the Riemann Problem of a System of Conservation Laws of Mixed Type, The entropy condition and the admissibility of shocks, Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-\(BV\) perturbations, On a universal structure for immiscible three-phase flow in virgin reservoirs, The deterministic version of the Glimm scheme, Shock capturing by Bernstein polynomials for scalar conservation laws, The boundary Riemann solver coming from the real vanishing viscosity approximation, Dissipative issue of high-order shock capturing schemes with non-convex equations of state, A numerical scheme for the computation of phase transition in compressible multiphase flows, A short note on the persistence of ideal shock waves, Nonlinear asymptotic stability of general small-amplitude viscous Laxian shock waves, Instability of vanishing viscosity approximation to hyperbolic systems of conservation laws with rotational invariance, Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws, Rotational degeneracy of hyperbolic systems of conservation laws, A UNIQUENESS CRITERION FOR VISCOUS LIMITS OF BOUNDARY RIEMANN PROBLEMS, Solution of the Riemann problem for irreversibly compressible media, An approximate solver for multi-medium Riemann problem with Mie-Grüneisen equations of state, Nonself-similar flow with a shock wave reflected from the center of symmetry and new self-similar solutions with two reflected shocks, RIEMANN SOLUTIONS FOR VERTICAL FLOW OF THREE PHASES IN POROUS MEDIA: SIMPLE CASES, Mathematics and numerics for balance partial differential-algebraic equations (PDAEs), A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence, Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems, Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method, Relaxation models of phase transition flows, Asymptotic states for hyperbolic conservation laws with a moving source, On the expansion of a wedge of van der Waals gas into a vacuum, Compressible duct flow of a real gas in a Lagrangian frame, Admissible Riemann solvers for genuinely nonlinear \(p\)-systems of mixed type, A Riemann solver for compressible flow of a real gas in a Lagrangian frame, Efficient solution algorithms for the Riemann problem for real gases, Shock waves in Euler equations for compressible medium, A \(2\times 2\) hyperbolic traffic flow model, Exact Riemann solver for non-convex relativistic hydrodynamics, Shock profiles of Navier–Stokes equations for compressible medium, Partial dissipation and sub-shock, One-dimensional refraction properties of compression shocks in non-ideal gases, Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations, Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension, The quasilinear wave equation for antiplane shearing of nonlinearly elastic bodies, A note on the Riemann problem for general \(n\times n\) conservation laws, THE RIEMANN PROBLEM FOR MULTIPHASE FLOWS IN POROUS MEDIA WITH MASS TRANSFER BETWEEN PHASES, The Riemann problem for fluid flow of real materials, A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids., A wavefront tracking algorithm for \(N\times N\) nongenuinely nonlinear conservation laws, Three-phase fluid displacements in a porous medium, On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function
Cites Work
- The Riemann problem for materials with nonconvex equation of state. II: General flow
- A uniqueness theorem for Riemann problems
- On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems
- Hyperbolic systems of conservation laws II
- The Riemann Problem for General 2 × 2 Conservation Laws
- The Meson Theory of Nuclear Forces I. General Theory
- Shock waves in arbitrary fluids