The problem under study is the following Hamilton-Jacobi equation

with periodic conditions in x or in a bounded domain with Dirichlet conditions. When H is strictly convex with respect to its second variable - sometimes, mere convexity is enough - the convergence to steady states is proved. This study is applied to understand the dynamics of a front whose propagation is given by a law of the form

Material used during the talk

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1999-2000 Reactive Flow and Transport Phenomena