Global solution to the relativistic Enskog equation with near-vacuum data

被引：9

作者：

Jiang, Zhenglu ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF STATISTICAL PHYSICS | 2007年 / 127卷 / 04期

基金：

中国国家自然科学基金;

关键词：

relativistic; Enskog equation; global solution;

D O I：

10.1007/s10955-006-9269-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give two hypotheses of the relativistic collision kernal and show the existence and uniqueness of the global mild solution to the relativistic Enskog equation with the initial data near the vacuum for a hard sphere gas.

引用

页码：805 / 812

页数：8

共 50 条

[1] Global Solution to the Relativistic Enskog Equation with Near-Vacuum Data
Zhenglu Jiang
[J]. Journal of Statistical Physics, 2007, 127 : 805 - 812
[2] Stability of Global Solution for the Relativistic Enskog Equation near Vacuum
Wu, Zhigang
[J]. JOURNAL OF STATISTICAL PHYSICS, 2009, 137 (01) : 149 - 164
[3] Stability of Global Solution for the Relativistic Enskog Equation near Vacuum
Zhigang Wu
[J]. Journal of Statistical Physics, 2009, 137 : 149 - 164
[4] Global solutions to the Cauchy problem for the relativistic Boltzmann equation with near-vacuum data
Glassey, RT
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 264 (03) : 705 - 724
[5] Existence of Global Solutions to the Cauchy Problem for the Inelastic Boltzmann Equation with Near-vacuum Data
Alonso, Ricardo J.
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (03) : 999 - 1022
[6] On the inelastic Enskog equation near vacuum
Wu, Zhigang
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (03)
[7] The relativistic Enskog equation near the vacuum in the Robertson-Walker space-time
Ciake, Fidele Lavenir Ciake
Takou, Etienne
[J]. ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (03) : 273 - 284
[8] Global Solutions to the Cauchy Problem for the Relativistic Boltzmann Equation with Near–Vacuum Data
Robert T. Glassey
[J]. Communications in Mathematical Physics, 2006, 264
[9] GLOBAL NEWTONIAN LIMIT FOR THE RELATIVISTIC BOLTZMANN EQUATION NEAR VACUUM
Strain, Robert M.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (04) : 1568 - 1601
[10] Generalized relativistic Chapman-Enskog solution of the Boltzmann equation
Garcia-Perciante, A. L.
Sandoval-Villalbazo, A.
Garcia-Colin, L. S.
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (21) : 5073 - 5079

← 1 2 3 4 5 →