Displaying similar documents to “Time periodic solutions to a nonhomogeneous Dirichlet periodic problem.”

Existence and uniqueness of periodic solutions for a nonlinear reaction-diffusion problem.

Maurizio Badii (2000)

Publicacions Matemàtiques

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We consider a class of degenerate reaction-diffusion equations on a bounded domain with nonlinear flux on the boundary. These problems arise in the mathematical modelling of flow through porous media. We prove, under appropriate hypothesis, the existence and uniqueness of the nonnegative weak periodic solution. To establish our result, we use the Schauder fixed point theorem and some regularizing arguments.

On some nonlocal systems containing a parabolic PDE and a first order ODE

Ádám Besenyei (2010)

Mathematica Bohemica

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Two models of reaction-diffusion are presented: a non-Fickian diffusion model described by a system of a parabolic PDE and a first order ODE, further, porosity-mineralogy changes in porous medium which is modelled by a system consisting of an ODE, a parabolic and an elliptic equation. Existence of weak solutions is shown by the Schauder fixed point theorem combined with the theory of monotone type operators.