Titre :

Vanishing Viscosity Regimes and Nonstandard Shock Relations for Semiconductor Superlattices Models

Auteur(s) :

Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Jean Alexandre Dieudonné [LJAD]
COmplex Flows For Energy and Environment [COFFEE]
Nieto, Juan [Auteur]
Departamento de Matematica Aplicada [Granada] [E-GRAN-AM SPAIN]
Sanchez, O. [Auteur]
Departamento de Matematica Aplicada [Granada] [E-GRAN-AM SPAIN]
Soler, Juan [Auteur]
Departamento de Matematica Aplicada [Granada] [E-GRAN-AM SPAIN]

Titre de la revue :

SIAM Journal on Applied Mathematics

Pagination :

180--199

Éditeur :

Society for Industrial and Applied Mathematics

Date de publication :

2011

ISSN :

0036-1399

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

This paper is concerned with the analysis of asymptotic problems from discrete drift-diffusion models describing charge transport in semiconductor superlattices. The regimes we are interested in lead to balance laws. ...
Lire la suite >This paper is concerned with the analysis of asymptotic problems from discrete drift-diffusion models describing charge transport in semiconductor superlattices. The regimes we are interested in lead to balance laws. However, the nonconservative structure of the discrete system might produce defect measure terms in the limit process. These defect terms, concentrated on the shock discontinuities, can be related to nonstandard jump relations (in contrast with the usual Rankine-Hugoniot law) when considering discontinuous solutions and wave fronts.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL