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Compactness of Linearized Kinetic Operators

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From Particle Systems to Partial Differential Equations III

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 162))

Abstract

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

This work was partially funded by the French ANR-13-BS01-0004 project Kibord and by the French ANR-14-ACHN-0030-01 project Kimega.

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Acknowledgments

The authors thank Bérénice Grec for her careful proof-reading and the fruitful discussions about the compactness of the linearized Boltzmann operator.

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Authors and Affiliations

  1. Laboratoire Jacques-Louis Lions (LJLL, CNRS UMR 7598), REO Project-team, Sorbonne Universités, CNRS, UPMC Univ. Paris 06, INRIA, 4, Place Jussieu, 75005, Paris, France

    Laurent Boudin

  2. Ceremade, UMR CNRS 7534, Université Paris-Dauphine, PSL Research University, 75775, Paris Cedex 16, France

    Francesco Salvarani

  3. Dipartimento di Matematica, Università Degli Studi di Pavia, 27100, Pavia, Italy

    Francesco Salvarani

Authors
  1. Laurent Boudin
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  2. Francesco Salvarani
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Corresponding author

Correspondence to Francesco Salvarani .

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Editors and Affiliations

  1. University of Minho Department of Mathematics, Braga, Portugal

    Patrícia Gonçalves

  2. University of Minho Department of Mathematics, Braga, Portugal

    Ana Jacinta Soares

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Boudin, L., Salvarani, F. (2016). Compactness of Linearized Kinetic Operators. In: Gonçalves, P., Soares, A. (eds) From Particle Systems to Partial Differential Equations III. Springer Proceedings in Mathematics & Statistics, vol 162. Springer, Cham. https://doi.org/10.1007/978-3-319-32144-8_4

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