1. On some nonlocal systems containing a parabolic PDE and a first order ODE
- Creator:
- Besenyei, Ádám
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Schauder fixed point theorem, system of parabolic and elliptic equations, monotone operator, and reaction-diffusio
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public