JournalsaihpcVol. 8, No. 3/4pp. 231–269

Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws

  • C.M. Dafermos

    Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A

  • X. Geng

    Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A
Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws cover
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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.

Cite this article

C.M. Dafermos, X. Geng, Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 3/4, pp. 231–269

DOI 10.1016/S0294-1449(16)30263-3