Compactness of linearized kinetic operators

Laurent Boudin (1, 2) , Francesco Salvarani (3, 4)

1 REO - Numerical simulation of biological flows
2 LJLL - Laboratoire Jacques-Louis Lions
3 Dipartimento di matematica F. Casorati
4 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

This article reviews various results on the compactness of the linearized Boltzmann operator and of its generalization to mixtures of non-reactive monatomic gases.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Boudin, Francesco Salvarani. Compactness of linearized kinetic operators. From Particle Systems to Partial Differential Equations III, 162, Springer, 2016, Springer Proceedings in Mathematics & Statistics (PROMS), ⟨10.1007/978-3-319-32144-8_4⟩. ⟨hal-01432855v1⟩