Regularity of a Reaction-Diffusion Equation in Inhomogeneous Porous Media

Document Type : Original Paper

Author

Sharif University of Technology

Abstract

In this paper, we study the reaction-diffusion equation $\Delta u(x) = |u(x)|^{\gamma(x)-1} u(x) $ from a regularity point of view. This equation is used for modelling the distribution of a gas in an inhomogeneous porous catalyst. And the power $\gamma(x)$ can be a discontinuous function. In particular, we study the vanishing order of solution near the zero level set $\{u=0\}$.

Keywords

Main Subjects

Files

History

  • Receive Date: 20 October 2024
  • Accept Date: 08 November 2024

Share

How to cite

Statistics