LONG-TIME BEHAVIOR FOR POROUS-MEDIUM EQUATIONS WITH CONVECTION

Authors
LAURENCOT P SIMONDON F
Citation
P. Laurencot et F. Simondon, LONG-TIME BEHAVIOR FOR POROUS-MEDIUM EQUATIONS WITH CONVECTION, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 315-336
Citations number
22
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
2
Pages
315 - 336
Database
ISI
SICI code
0308-2105(1998)128:<315:LBFPEW>2.0.ZU;2-X
Abstract
Long-time behaviour of solutions to porous medium equations with conve ction is investigated when the initial datum is a non-negative and int egrable function on the real line. The long-time profile of the soluti ons is determined, and depends on whether the convective or the diffus ive effect dominates for large times. Sharp temporal decay estimates a re also provided.