Nonlinear transmission problems for quasilinear diffusion systems
F. R. Guarguaglini - Dipartimento di Matematica Pura e Applicata, Universitá degli Studi di L'Aquila, Via Vetoio, I–67010 Coppito (L'Aquila), Italy (email)
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.
Keywords: nonlinear parabolic equations, transmission conditions, global existence of solutions, porous media, sulphation phenomena, chemotaxis
Received: January 2007; Revised: March 2007; Available Online: March 2007.
2015 Impact Factor.925