Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff;Existence globale pour l'équation de Boltzmann sans troncature

Comptes Rendus Mathematique

Volumn 348, Issue 15-16, 2010, Pages 867-871

  Alexandre, Radjesvarane ^a   Morimoto, Y ^b   Ukai, S ^c   Xu, Chao Jiang ^d   Yang, T ^e  

^a French Naval Academy   (France)

^b KYOTO UNIVERSITY   (Japan)

^c 17 26 Iwasaki cho ^*  (Japan)

^d UNIVERSITÉ DE ROUEN   (France)

^e CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955768684     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2010.07.008     Document Type: Article

References (6)

1. Alexandre R., Desvillettes L., Villani C., Wennberg B. Entropy dissipation and long-range interactions. Arch. Ration. Mech. Anal. 2000, 152:327-355.
2. Alexandre R., Morimoto Y., Ukai S., Xu C.-J., Yang T. Uncertainty principle and kinetic equations. J. Funct. Anal. 2008, 255:2013-2066.
3. Alexandre R., Morimoto Y., Ukai S., Xu C.-J., Yang T. Regularity of solutions for the Boltzmann equation without angular cutoff. C. R. Acad. Sci. Paris, Ser. I 2009, 347:747-752.
4. Alexandre R., Morimoto Y., Ukai S., Xu C.-J., Yang T. Global existence and full regularity of the Boltzmann equation without angular cutoff, Part I: Maxwellian case and small singularity Preprint HAL. http://hal.archives-ouvertes.fr/hal-00439227/fr/.
5. Guo Y. The Boltzmann equation in the whole space. Indiana Univ. Math. J. 2004, 53(4):1081-1094.
6. Mouhot C. Explicit coercivity estimates for the linearized Boltzmann and Landau operators. Comm. Partial Differential Equations 2006, 31:1321-1348.