Etudes de quelques problèmes paraboliques non locaux

Abstract : In this work, we study a class of nonlocal, nonlinear parabolic problems. In these equations, the coefficients depend on the solution itself through global quantities like the total mass, the total flux or the total energy (for problems coming from physics) and the total density (for problems coming from mathematical methods of population biology). We study, not only, the existence and uniqueness of the solutions but also their longtime behaviour and their stability
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Bruno Lovat. Etudes de quelques problèmes paraboliques non locaux. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1995. Français. ⟨NNT : 1995METZ036S⟩. ⟨tel-01777092⟩

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