DEGENERATE CONVECTION-DIFFUSION EQUATION WITH A ROBIN BOUNDARY CONDITION

Affiliation auteursAffiliation ok
TitreDEGENERATE CONVECTION-DIFFUSION EQUATION WITH A ROBIN BOUNDARY CONDITION
Type de publicationConference Paper
Year of Publication2014
AuteursKarimou MGazibo
EditorAncona F, Bressan A, Marcati P, Marson A
Conference NameHYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS
PublisherUniv Padova, Dipartimento Matematica; Univ Studi Aquila, Dipartimento Matematica Pura Applicata; Univ Padova; Univ Zurich; Univ Basel
Conference LocationPO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
ISBN Number978-1-60133-017-8
Mots-clésDegenerate parabolic equation, Entropy solution, Robin boundary condition, semigroup theory, vanishing viscosity approximation
Résumé

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 behavior.