Finite speed of propagation in porous media by mass transportation methods

Comptes Rendus Mathematique

Volumn 338, Issue 10, 2004, Pages 815-818

  Carrillo, José Antonio ^a   Gualdani, Maria Pia ^b   Toscani, Giuseppe ^c  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

^c UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342425267     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.03.025     Document Type: Article

References (6)

1. 1-decay of solutions of the porous medium equation to self-similarity Indiana Univ. Math. J. 49 1 2000 113-142
2. Kalashnikov A.S. Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations Russian Math. Surveys 42 2 1987 169-222
3. Vázquez J.L. An introduction to the mathematical theory of the porous medium equation Shape Optimization and Free Boundaries, Montreal, PQ, 1990 NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. vol. 380 1992 347-389 Kluwer Academic Dordrecht
4. Vázquez J.L. Asymptotic behaviour for the porous medium equation posed in the whole space J. Evol. Equations 3 2003 67-118
5. Vázquez J.L. Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium Trans. Amer. Math. Soc. 277 1983 2
6. Villani C. Topics in Mass Transportation, in: Grad. Stud. Math. vol. 58 2003 American Mathematical Society ISSN: 1065-7339