Details

Autor(en) / Beteiligte

• Goudon, Thierry
• Parisot, Martin

Titel

On the Spitzer–Härm Regime and Nonlocal Approximations: Modeling, Analysis, and Numerical Simulations

Ist Teil von

• Multiscale modeling & simulation, 2011-04, Vol.9 (2), p.568-600

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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. [PUBLICATION ABSTRACT]