Title :

On the Spitzer-Härm regime and non local approximations: modeling, analysis and numerical simulations

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]
Parisot, Martin [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Journal title :

Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal

Pages :

568--600

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2011

ISSN :

1540-3459

HAL domain(s) :

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

English abstract : [en]

This paper is devoted to the derivation of the Spitzer-Härm limit from the coupled system of PDEs describing the evolution of charged particles and electromagnetic fields. We identify a relevant asymptotic regime which ...
Show more >This paper is devoted to the derivation of the Spitzer-Härm limit from the coupled system of PDEs describing the evolution of charged particles and electromagnetic fields. We identify a relevant asymptotic regime which leads to a nonlinear diffusion equation for the electron temperature. Then, we discuss some intermediate models, which remain of hydrodynamic nature but involve a nonlocal coupling through integral or pseudodifferential operators. In particular, we exhibit important mathematical properties of the so-called Schurtz-Nicolaï model like the well-posedness and the maximum principle. We also design numerical schemes for the nonlocal models and analyze their consistency and stability properties.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T10:10:06Z