Convection-reaction-diffusion systems and interface dynamics

Abstract : This thesis deals with the singular limit of systems of parabolic partial differential equations, with bistable nonlinear reaction terms and general initial data. We prove some generation of interface properties and study the motion of interface. We revisit a variety of model problems and obtain a new and optimal
estimate of the thickness and the location of the transition layer that develops.
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Matthieu Alfaro. Convection-reaction-diffusion systems and interface dynamics. Mathematics [math]. Université Paris Sud - Paris XI, 2006. English. ⟨tel-00134258⟩

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