Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws
- 1 August 1991
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Annales de l'Institut Henri Poincaré C, Analyse non linéaire
- Vol. 8 (3) , 231-269
- https://doi.org/10.1016/s0294-1449(16)30263-3
Abstract
Using the method of generalized characteristics, the authors investigate uniqueness and regularity of solutions of the Cauchy problem for a special system of hyperbolic conservation laws, with coinciding shock and rarefaction wave curves, arising in the theory of isotachophoresis. Résumé: En utilisant la méthode des caractéristiques généralisées, on montre l’unicité et la régularité des solutions du problème de Cauchy pour un système hyperbolique de lois de conservation provenant de la théorie de l’électrophorèse.This publication has 10 references indexed in Scilit:
- Generalized characteristics in hyperbolic systems of conservation lawsArchive for Rational Mechanics and Analysis, 1989
- Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservationJournal of Differential Equations, 1987
- Regularity and large time behaviour of solutions of a conservation law without convexityProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985
- Systems of conservation laws with invariant submanifoldsTransactions of the American Mathematical Society, 1983
- Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation lawsJournal of Differential Equations, 1976
- Singularities of solutions of nonlinear hyperbolic systems of conservation lawsArchive for Rational Mechanics and Analysis, 1975
- A regularity theorem for conservation lawsAdvances in Mathematics, 1973
- A uniqueness theorem for weak solutions of symmetric quasilinear hyperbolic systemsPacific Journal of Mathematics, 1969
- Solutions in the large for nonlinear hyperbolic systems of equationsCommunications on Pure and Applied Mathematics, 1965
- Hyperbolic systems of conservation laws IICommunications on Pure and Applied Mathematics, 1957