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Optimal Sub- or Supersolutions in Reaction-Diffusion Problems

✍ Scribed by R. Sperb

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
144 KB
Volume
178
Category
Article
ISSN
0022-0396

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✦ Synopsis

The type of problem under consideration is

Here W is a finite domain of R N . The solution of (f) is compared with a corresponding solution of the N-ball or a finite interval whose size depends on different quantities of an associated linear elliptic problem for W, such as e.g. the fixed membrane problem. Possible applications include estimates for the blow-up or finite vanishing time.

πŸ“œ SIMILAR VOLUMES

Optimal Smoothing in Function-Transport
Optimal Smoothing in Function-Transport Particle Methods for Diffusion Problems
✍ Aaron L. Fogelson; Robert H. Dillon πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 368 KB

We discuss a class of particle methods for diffusion problems with small diffusivity, in which diffusion is modeled by random walk update of the particle positions; each particle carries a point-value of the problem's initial data; and the numerical solution is obtained as a discrete convolution of