UNIQUENESS OF THE WEAK SOLUTION FOR POROU S-MEDIA EQUATIONS BY USING A RENORMALIZED SOLUTION NOTION

Authors
PLOUVIERDEBAIGT A GAGNEUX G
Citation
A. Plouvierdebaigt et G. Gagneux, UNIQUENESS OF THE WEAK SOLUTION FOR POROU S-MEDIA EQUATIONS BY USING A RENORMALIZED SOLUTION NOTION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(11), 1996, pp. 1049-1052
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
11
Year of publication
1996
Pages
1049 - 1052
Database
ISI
SICI code
0764-4442(1996)322:11<1049:UOTWSF>2.0.ZU;2-X
Abstract
A uniqueness result is proved for the weak solutions of parabolic dege nerate equations when the instantaneous state of the physical system i s taken into account in the diffusivity tensor. Any weak solution is p roved to be a renormalized one, according to admissibility criteria in the hyperbolicity and parabolicity free areas.