Memory effects and random walks in reaction-transport systems

Abstract

In this article, we study continuous and discrete models to describe reaction transport systems with memory and long range interaction. In these models the transport process is described by a non-Brownian random walk model and the memory is induced by a waiting time distribution of the gamma type. Numerical results illustrating the behavior of the solution of discrete models are also included.

Keywords:

• Integro-differential equation
• Non-Brownian motion
• Stability
• Numerical methods

Keywords:

• 2000 Mathematics Subject Classifications: 35B35
• 35K57
• 65M06
• 65M12

Acknowldgement

This work was supported by Centro de Matemática da Universidade de Coimbra.