Variational principles and the shift in the front speed due to a cutoff
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
Zemskov, Evgeny P. (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2005
Abstract:	We apply variational principles to reaction-diffusion equations in order to predict, for a general reaction term, the sign of the shift in the front speed due to a cutoff. We develop an improved variational principle to obtain the shift in the front speed for a wide range of reaction terms, and the theoretical results so obtained are in excellent agreement with numerical solutions. This work proves that variational principles are an optimal framework to deal with fronts propagating into unstable and metastable states under cutoff.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 72, Number 5 (November 2005) , p. 056113/1-056113/7, ISSN 1539-3755

DOI: 10.1103/PhysRevE.72.056113

7 p, 162.0 KB

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