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Wavefronts for discrete two-dimensional nonlinear diffusion equations

✍ Scribed by A. Carpio

Book ID
104349328
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
571 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

Existence of wavefronts for discrete two-dimensional evolution models involving diifusive terms with a nonlinear dependence on the discrete 'grsdients' is studied. For small values of a control parameter, we prove existence of steady wavefronts. We investigate numerically the transition of steady fronts to traveling waves as the control parameter increases.

πŸ“œ SIMILAR VOLUMES

Traveling Wavefronts for the Discrete Fi
Traveling Wavefronts for the Discrete Fisherβ€²s Equation
✍ B. Zinner; G. Harris; W. Hudson πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 422 KB

Using continuation and comparison methods we obtain conditions for the existence and nonexistence of traveling wavefronts with speed \(c\) of the discrete Fisher's equation