Derivation of viscous correction terms for the isothermal quantum Euler model.

Stéphane Brull (1) , Florian Méhats (2, 3)

1 IMB - Institut de Mathématiques de Bordeaux
2 IPSO - Invariant Preserving SOlvers
3 IRMAR - Institut de Recherche Mathématique de Rennes

The aim of this paper is to compute viscous correction terms for the isothermal quantum Euler system of Degond, Gallego, M ehats (SIAM Multiscale Model Simul.,6, 2007). We derive this model by using a Chapman-Enskog expansion up to order 1. In a last part, we con- sider a situation where the ow is nearly irrotational in order to get a simplified model.

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Brull, Florian Méhats. Derivation of viscous correction terms for the isothermal quantum Euler model.. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2010, 90 (3), pp.219-230. ⟨hal-01016708⟩