Title :

Vanishing Viscosity Regimes and Nonstandard Shock Relations for Semiconductor Superlattices Models

Author(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]

Journal title :

SIAM Journal on Applied Mathematics

Pages :

180--199

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2011

ISSN :

0036-1399

HAL domain(s) :

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

English abstract : [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. ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL