Nonlinear transmission problems for quasilinear diffusion systems | Zendy

F.R. Guarguaglini | Zendy; Roberto Natalini | Zendy

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Nonlinear transmission problems for quasilinear diffusion systems

Author(s) -

F.R. Guarguaglini,

Roberto Natalini

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.359

Subject(s) - uniqueness , degenerate energy levels , nonlinear system , transmission (telecommunications) , class (philosophy) , mathematical analysis , stability (learning theory) , diffusion , mathematics , computer science , physics , telecommunications , quantum mechanics , artificial intelligence , machine learning , thermodynamics

We study degenerate quasilinear parabolic systems in two different domains, which are connected by a nonlinear transmission condition at their interface. For a large class of models, including those modeling pollution aggression on stones and chemotactic movements of bacteria, we prove global existence, uniqueness and stability of the solutions.

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