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.

Nonlinear transmission problems for quasilinear diffusion systems} Netw. Heterog. Media

GUARGUAGLINI, FRANCESCA ROMANA;
2007

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/12515
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