LONG-TIME BEHAVIOR FOR POROUS-MEDIUM EQUA TIONS WITH CONVECTION

Authors
LAURENCOT P SIMONDON F
Citation
P. Laurencot et F. Simondon, LONG-TIME BEHAVIOR FOR POROUS-MEDIUM EQUA TIONS WITH CONVECTION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(7), 1996, pp. 775-780
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
7
Year of publication
1996
Pages
775 - 780
Database
ISI
SICI code
0764-4442(1996)323:7<775:LBFPET>2.0.ZU;2-3
Abstract
In this Note, we consider porous medium equations with convection in o ne space dimension. We study the profile of the solutions with nonnega tive initial data in L(1)(R) as t --> infinity. We also prove existenc e and uniqueness of the source-type solution of mass M > 0 to these eq uations.