Qualitative behaviour for one-dimensional strongly degenerate parabolic problems | Zendy

Corrado Mascia | Zendy; Alessio Porretta | Zendy; Andrea Terracina | Zendy

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Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

Author(s) -

Corrado Mascia,

Alessio Porretta,

Andrea Terracina

Publication year - 2006

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/143

Subject(s) - degenerate energy levels , parabolic partial differential equation , mathematics , convection , mathematical analysis , diffusion , pure mathematics , physics , mechanics , partial differential equation , thermodynamics , quantum mechanics

International audienceWe 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

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