Degenerate Convection-Diffusion Equation with a Robin boundary condition

Mohamed Karimou Gazibo (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

We study a Robin boundary problem for degenerate parabolic equation. We suggest a notion of entropy solution and propose a result of existence and uniqueness. Numerical simulations illustrate some aspects of solution behaviour. Monodimensional experiments are presented.

Mots clés: Semigroup theory; Degenerate parabolic equation; Robin boundary condition; Vanishing viscosity approximation; Entropy solution; Semigroup theory.

Domaines: Equations aux dérivées partielles [math.AP]

Mohamed Karimou Gazibo. Degenerate Convection-Diffusion Equation with a Robin boundary condition. 2012. ⟨hal-00765309v2⟩