Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation-Reference-Cited by-同舟云学术

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Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation

Published:2010-01-28 Issue:1 Volume:198 Page:39-123
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Alexandre Radjesvarane,Morimoto Yoshinori,Ukai Seiji,Xu Chao-Jiang,Yang Tong

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-010-0290-1.pdf

Reference47 articles.

1. Alexandre R.: Around 3D Boltzmann operator without cutoff. A New formulation. Math. Modelling Numer. Anal. 343, 575–590 (2000)

2. Alexandre R.: Some solutions of the Boltzmann equation without angular cutoff. J. Stat. Phy. 104, 327–358 (2001)

3. Alexandre R.: Integral estimates for linear singular operator linked with Boltzmann operator. Part I. Small singularities 0 < ν < 1. Indiana Univ. Math. J. 55, 1975–2021 (2006)

4. Alexandre R., Desvillettes L., Villani C., Wennberg B.: Entropy dissipation and long-range interactions. Arch. Ration. Mech. Anal. 152, 327–355 (2000)

5. Alexandre R., He L.: Integral estimates for a linear singular operator linked with Boltzmann operator. Part II. High singularities 1 ≦ ν < 2. Kinet. Relat. Models 1, 491–514 (2008)

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