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Weakly nonlinear analysis of a system with nonlocal diffusion

Autor(es) y otros:
Galiano Casas, GonzaloAutoridad Uniovi; Velasco Valdés, JuliánAutoridad Uniovi
Fecha de publicación:
2021
Editorial:

Servicio de Publicaciones de la Universidad de Oviedo

Citación:
Galiano Casas, G. y Velasco Valdés, J. (2021) Weakly nonlinear analysis of a system with nonlocal diffusion. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 192-196). Oviedo : Universidad de Oviedo, Servicio de Publicaciones
Descripción física:
p. 192-196
Resumen:

We study, through a weakly nonlinear analysis, the pattern formation for a system of partial differential equations of the Shigesada-Kawasaki-Teramoto type with nonlocal diffusion in the one-space dimensional case with periodic boundary conditions. We obtain the pattern of the solutions for values of the bifurcation parameter in the proximity of the onset of instabilities. Finally, we compare the results of the nonlocal model with those of the usual local diffusion model.

We study, through a weakly nonlinear analysis, the pattern formation for a system of partial differential equations of the Shigesada-Kawasaki-Teramoto type with nonlocal diffusion in the one-space dimensional case with periodic boundary conditions. We obtain the pattern of the solutions for values of the bifurcation parameter in the proximity of the onset of instabilities. Finally, we compare the results of the nonlocal model with those of the usual local diffusion model.

URI:
http://hdl.handle.net/10651/59083
ISBN:
978-84-18482-21-2
Patrocinado por:

The authors were supported by the Spanish MCI Project MTM2017-87162-P.

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