Selection, shape and relaxation of fronts: A numerical study of the effects of inertia.

We study the problem of front propagation in the presence of inertia. We extend the analytical approach for the overdamped problem to this case, and present numerical results to support our theoretical predictions. Specifically, we conclude that the velocity and shape selection problem can still be...

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Detalhes bibliográficos
Autores: Sancho, José M., Sánchez Sánchez, Ángel, 1964
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2001
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18704
Acesso em linha:https://hdl.handle.net/2445/18704
Access Level:Acceso aberto
Palavra-chave:Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
Descrição
Resumo:We study the problem of front propagation in the presence of inertia. We extend the analytical approach for the overdamped problem to this case, and present numerical results to support our theoretical predictions. Specifically, we conclude that the velocity and shape selection problem can still be described in terms of the metastable, nonlinear, and linear overdamped regimes. We study the characteristic relaxation dynamics of these three regimes, and the existence of degenerate (¿quenched¿) solutions.