to diffusion, a convection term is present. Our overall aim is to look at the effect of convection on the existence and What is the long-time effect of adding convention to a discretised reaction-diffusion equation? For linear problems, it is well known stability of the true and spurious fixed point
On Solutions to Nonlinear Reaction–Diffusion–Convection Equations with Degenerate Diffusion
✍ Scribed by Yunguang Lu; Willi Jäger
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 154 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
In this article we use the monotone method for the computation of numerical solutions of a nonlinear reactiondiffusion-convection problem with time delay. Three monotone iteration processes for a suitably formulated finite-difference system of the problem are presented. It is shown that the sequence
Nonnegative solutions of a general reaction-diffusion model with convection are known to be unique if the reaction, convection, and diffusion terms are all Lipschitz continuous with respect to their dependence on the solution variable. However, it is also known that such a Lipschitz condition is not