MATHEMATICAL AND NUMERICAL STUDY OF A DUSTY KNUDSEN GAS MIXTURE

Frédérique Charles (1) , Francesco Salvarani (2, 3)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 Dipartimento di matematica F. Casorati
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We consider a mixture composed of a gas and dust particles in a very rarefied setting. Whereas the dust particles are individually described, the surrounding gas is treated as a Knudsen gas, in such a way that interactions occur only between gas particles and dust by means of diffuse reflection phenomena. After introducing the model, we prove existence and uniqueness of the solution and provide a numerical strategy for the study of the equations. At the numerical level, we focus our attention on the phenomenon of energy transfer between the gas and the moving dust particles.

Domaines: Equations aux dérivées partielles [math.AP]

Frédérique Charles, Francesco Salvarani. MATHEMATICAL AND NUMERICAL STUDY OF A DUSTY KNUDSEN GAS MIXTURE. Acta Applicandae Mathematicae, 2020. ⟨hal-01964237v2⟩