La vitesse de propagation dans le problème de la digue
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José Carrillo, Gianni Gilardi (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Jean Dolbeault, Grzegorz Karch (2006)
Banach Center Publications
This note is devoted to the study of the long time behaviour of solutions to the heat and the porous medium equations in the presence of an external source term, using entropy methods and self-similar variables. Intermediate asymptotics and convergence results are shown using interpolation inequalities, Gagliardo-Nirenberg-Sobolev inequalities and Csiszár-Kullback type estimates.
Bunoiu, R., Saint Jean Paulin, Jeannine (1999)
Portugaliae Mathematica
B.H. Gilding, M.A. Herrero (1988)
Mathematische Annalen
Jean Dolbeault, Javier Fernández (2008)
Annales de l'I.H.P. Analyse non linéaire
Pal Dulal, Veerabhadraiah, R., Shivakumar, P.N., Rudraiah, N. (1984)
International Journal of Mathematics and Mathematical Sciences
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