We review the relative entropy method in the context of first-order hyperbolic systems of conservation laws, in one space-dimension.. We prove that contact discontinuities in full

We start from the Eulerian version of the string equation, for which we can use the “relative entropy” method, quite classical in the theory of hyperbolic systems of conservation

GLOBAL ENTROPY STABILITY FOR A CLASS OF UNLIMITED HIGH-ORDER SCHEMES FOR HYPERBOLIC SYSTEMS OF

extremal surfaces, hyperbolic system of conservation laws, conserva- tion laws with polyconvex

Keywords: Hyperbolic conservation laws, Hyperbolic systems of conservation laws with relaxation, Macroscopic traffic flow models, Wave-front tracking, Temple class systems,

Convergence of entropy stable finite difference schemes to measure valued solutions of hyperbolic systems of conservation laws. Chaos, transport and

Liu, Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws, Comm. Liu, Admissible solutions of hyperbolic conservation

Keywords: hyperbolic systems, Godunov scheme, finite volumes, two-phase flows, phase transition.. Hyperbolic systems of

Keywords: discontinuous Galerkin method; nonlinear symmetric systems of hyperbolic conservation laws; negative-order norm estimates; post-processing; divided

Bases anatomiques de La chirurgie dermatologique et des techniques d’injections de la face. § Région frontale et glabellaire : muscles corrugator et

Keywords: Lattice Boltzmann Method, multiresolution analysis, wavelets, dynamic mesh adaptation, error control, hyperbolic systems of conservation laws, incompressible

One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws. Weak and measure-valued solutions to evolutionary PDEs,

Keywords: Adjoint state method, Conservation laws, Finite volume methods, Macroscopic models, Mixed hyperbolic-elliptic systems, Nonlocal flux, Pedestrian flow models, Wave

Keywords: Adjoint state method, Conservation laws, Finite volume methods, Macroscopic models, Mixed hyperbolic-elliptic systems, Nonlocal flux, Pedestrian flow models, Wave

In this section, we consider the finite volume method for treating numerically hyperbolic systems of conservation laws, and the consistency analysis presented here extends to

Keywords: hyperbolic conservation laws, quasi-linear wave equation, boundary conditions, weak solutions, vanishing viscosity, compensated compactness, entropy solutions,

Keywords: hyperbolic conservation laws, quasi-linear wave equation, boundary conditions, weak solutions, vanishing viscosity, compensated compactness, entropy solutions,

Initial Boundary Value Problems for Hyperbolic Systems of Conservation Laws. An analysis of