Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

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 an...

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Veröffentlicht in:Interfaces and free boundaries 2006-01, Vol.8 (3), p.263-280
Hauptverfasser: Mascia, C, Porretta, Alessio, Terracina, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Biology and other natural sciences
Fluid mechanics
Mathematics
Numerical analysis
Partial differential equations
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Beschreibung
Zusammenfassung: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.
ISSN:1463-9963
1463-9971
DOI:10.4171/IFB/143