Non-Explosion of Solutions to Stochastic Reaction-Diffusion Equations
β Scribed by M. Dozzi; B. Maslowski
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 109 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0044-2267
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π SIMILAR VOLUMES
We obtain in this paper the global boundedness of solutions to a Fujita-type reaction-diffusion system. This global boundedness results from diffusion effect, homogeneous Dirichlet boundary value conditions and appropriate reactions.
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
## Communicated by M. Renardy The steady-state problem of the non-linear reaction-diffusion system is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an appl
We present a scheme for solving two-dimensional, nonlinear reaction-diffusion equations, using a mixed finite-element method. To linearize the mixed-method equations, we use a two grid scheme that relegates all the Newton-like iterations to a grid H much coarser than the original one h , with no lo
Communicated by B