Author:
Laurençot Ph.,Simondon F.
Abstract
Long-time behaviour of solutions to porous medium equations with convection is investigated when the initial datum is a non-negative and integrable function on the real line. The long-time profile of the solutions is determined, and depends on whether the convective or the diffusive effect dominates for large times. Sharp temporal decay estimates are also provided.
Publisher
Cambridge University Press (CUP)
Reference22 articles.
1. Sur l'équation générale ut = ψ (u)xx − ψ (u)x + v;Bénilan;C. R. Acad. Sci. Paris Sér. I Math.,1984
2. Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
3. The cauchy problem for an equation in the theory of infiltration
4. Source-type solutions to porous medium equations with convection;Laurencot;Comm. Appl. Anal.,1997
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