Mohamed Karimou Gazibo

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We consider the general degenerate hyperbolic-parabolic equation: ut + div f (u) − ∆φ(u) = 0 in Q = (0, T) × Ω, T > 0, Ω ⊂ R N ; (E) with initial condition and the zero flux boundary condition. Here φ is a continuous non decreasing function. Following [Bürger, Frid and Karlsen, J. Math. Anal. Appl, 2007], we assume that f is compactly supported (this is the(More)
We study a degenerate parabolic-hyperbolic equation with zero flux boundary condition. The aim of this paper is to prove convergence of numerical approximate solutions towards the unique entropy solution. We propose an implicit finite volume scheme on admissible mesh.We establish fundamental estimates and prove that the approximate solution converge towards(More)
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