Displaying similar documents to “Stabilisation des systèmes contrôlables et observables”

Compacité par compensation pour une classe de systèmes hyperboliques de p ≥ 3 lois de conservation.

Sylvie Benzoni-Gavage, Denis Serre (1994)

Revista Matemática Iberoamericana

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We are concerned with a strictly hyperbolic system of conservation laws u + f(u) = 0, where u runs in a region Ω of R, such that two of the characteristic fields are genuinely non-linear whereas the other ones are of Blake Temple's type. We begin with the case p = 3 and show, under more or less technical assumptions, that the approximate solutions (u) given either by the vanishing viscosity method or by the Godunov scheme converge to weak entropy solutions as ε goes to 0. The first step...