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Degenerate Convection-Diffusion Equation with a Robin boundary condition

By Mohamed Karimou Gazibo

Abstract

8 pagesWe 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

Topics: Semigroup theory, Degenerate parabolic equation, Robin boundary condition, Vanishing viscosity approximation, Entropy solution, Semigroup theory., Primary 35F31; Secondary 00A69, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: HAL CCSD
Year: 2012
OAI identifier: oai:HAL:hal-00765309v2
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