A new result is derived which extends a known instability result for a class of reaction-diffusion equations to a corresponding system incorporating time delay effects. For a significant class of nonlinear equations it is shown that an unstable equilibrium solution of the reaction-diffusion system c
On the Role of Diffusivity in Some Stable Equilibria of a Diffusion Equation
โ Scribed by Arnaldo Simal do Nascimento
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 154 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-0396
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๐ SIMILAR VOLUMES
## Abstract In this article we present the solution of linear partial differential equations of the form โ~__t__~__f__ = Lฬ__f__, for initial value problems. Also the solution of some diffusion equations will be discussed.
Since it. is well established now that there is preferential diffusion of atoms along dislocation lines in low-angle boundaries,(1>2$3' a question may arise as to the extent and manner in which randomly distributed dislocations may enhance the apparent volumetric diffusivity. In particular, one may
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