Regularity and compactness for Boltzmann collision kernels without angular cut-off

被引：41

作者：

Lions, PL ^{[1
]}

机构：

[1] Univ Paris 09, CNRS, URA 749, F-75775 Paris 16, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 01期

关键词：

D O I：

10.1016/S0764-4442(97)82709-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a simple proof of regularity and compactness phenomena induced by singular Boltzmann collision kernels.

引用

页码：37 / 41

页数：5

共 50 条

[1] BOLTZMANN COLLISION OPERATOR WITHOUT CUT-OFF
KLAUS, M
[J]. HELVETICA PHYSICA ACTA, 1977, 50 (06): : 893 - 903
[2] GLOBAL REGULARITY ESTIMATES FOR THE BOLTZMANN EQUATION WITHOUT CUT-OFF
Imbert, Cyril
Silvestre, Luis Enrique
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, : 625 - 703
[3] Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off
Jin Woo Jang
Robert M. Strain
[J]. Annals of PDE, 2022, 8
[4] GLOBAL CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION WITHOUT ANGULAR CUT-OFF
Gressman, Philip T.
Strain, Robert M.
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 24 (03) : 771 - 847
[5] Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off
Jang, Jin Woo
Strain, Robert M.
[J]. ANNALS OF PDE, 2022, 8 (02)
[6] On Estimates of the Boltzmann Collision Operator with Cut-off
Roland Duduchava
Ralf Kirsch
Sergej Rjasanow
[J]. Journal of Mathematical Fluid Mechanics, 2006, 8 : 242 - 266
[7] LINEARIZED BOLTZMANN COLLISION OPERATOR FOR CUT-OFF POTENTIALS
DRANGE, HB
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 29 (04) : 665 - 676
[8] Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
Mouhot, C
Villani, C
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 173 (02) : 169 - 212
[9] Regularity Theory for the Spatially Homogeneous Boltzmann Equation with Cut-Off
Clément Mouhot
Cédric Villani
[J]. Archive for Rational Mechanics and Analysis, 2004, 173 : 169 - 212
[10] Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off
Villani, C
[J]. REVISTA MATEMATICA IBEROAMERICANA, 1999, 15 (02) : 335 - 352

← 1 2 3 4 5 →