Geodesic
Qualitative behaviour for one-dimensional strongly degenerate parabolic problems
Corrado Mascia1 ; Alessio Porretta2 ; Andrea Terracina1
1Università di Roma La Sapienza, Italy
2Università di Roma, Italy
Interfaces and free boundaries, Tome 8 (2006) no. 3, pp. 263-280

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DOI

We consider strongly degenerate convection-diffusion equations which mix possible parabolic and hyperbolic behaviour. We prove some qualitative properties of the solutions, in the one-dimensional case. In particular we study the evolution in time of the number of connected components of parabolic and hyperbolic regions and the continuity of the interfaces between the two phases.
DOI : 10.4171/ifb/143
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Entropy solutions, strongly degenerate parabolic equations, interface properties, lap number

Corrado Mascia  1   ; Alessio Porretta  2   ; Andrea Terracina  1

1 Università di Roma La Sapienza, Italy
2 Università di Roma, Italy 
Corrado Mascia; Alessio Porretta; Andrea Terracina. Qualitative behaviour for one-dimensional strongly degenerate parabolic problems. Interfaces and free boundaries, Tome 8 (2006) no. 3, pp. 263-280. doi: 10.4171/ifb/143
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     title = {Qualitative behaviour for one-dimensional strongly degenerate parabolic problems},
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     pages = {263--280},
     year = {2006},
     volume = {8},
     number = {3},
     doi = {10.4171/ifb/143},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/143/}
}
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