On the front-tracking algorithm

DOI10.1006/jmaa.1997.5715zbMath0966.35078OpenAlexW2078359026MaRDI QIDQ1378631

Helge Kristian Jenssen, Paolo Baiti

Publication date: 16 August 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c1ff2d6fb008c450ece20e2ba692ddeb6432404f

zbMATH Keywords

Riemann problemsentropy weak solutionapproximation solutions within a class of piecewise constant functions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

BASIC ESTIMATES FOR A FRONT TRACKING ALGORITHM FOR GENERAL 2×2 CONSERVATION LAWS, Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws, Wave front tracking in systems of conservation laws., Existence theory by front tracking for general nonlinear hyperbolic systems, Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions, A new front tracking scheme for the ultra-relativistic Euler equations, Numerical investigation of the wave-front tracking algorithm for the full ultra-relativistic Euler equations, \(L^1\) well posedness of Euler equations with dynamic phase boundaries, An improved front tracking method for the Euler equations, \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data, Correction to: ``Burst of point vortices and non-uniqueness of 2D Euler equations, Uniqueness and weak-BV stability for \(2\times 2\) conservation laws, \( L^1 \)-stability of vortex sheets and entropy waves in steady supersonic Euler flows over Lipschitz walls, Sharp a-contraction estimates for small extremal shocks, Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge, Well-posedness for hyperbolic systems of conservation laws with large BV data, Second order front tracking for the Euler equations, On the wave-front tracking algorithm for \(2\times 2\) hyperbolic systems of conservation laws, A wavefront tracking algorithm for \(N\times N\) nongenuinely nonlinear conservation laws, Smooth and discontinuous junctions in the \(p\)-system, Nonclassical shocks and the Cauchy problem for nonconvex conservation laws, An unconditionally stable method for the Euler equations, UNIQUENESS RESULTS FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LARGE AND MONOTONE DATA, On the \(L^1\) well posedness of systems of conservation laws near solutions containing two large shocks, Exact Riemann solvers for conservation laws with phase change, Global solutions for the ultra-relativistic Euler equations

Cites Work

• Global solutions of systems of conservation laws by wave-front tracking
• Global existence of solutions to nonlinear hyperbolic systems of conservation laws
• The unique limit of the Glimm scheme
• Hyperbolic systems of conservation laws II
• A Front-Tracking Alternative to the Random Choice Method
• Solutions in the large for nonlinear hyperbolic systems of equations