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

Title:

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

Creator:

Besenyei, Ádám

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8045614f-11a8-4013-8620-688e5789391b
uuid:8045614f-11a8-4013-8620-688e5789391b
doi:10.21136/MB.2010.140690

Subject:

Schauder fixed point theorem, system of parabolic and elliptic equations, monotone operator, and reaction-diffusio

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

133-141

Source:

Mathematica bohemica | 2010 Volume:135 | Number:2

Harvested from:

CDK

Metadata only:

false