EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

doi:10.1016/S0252-9602(12)60165-9

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2131-2140.doi: 10.1016/S0252-9602(12)60165-9

EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

魏金波|张显文

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2011-07-18 修回日期:2012-04-19 出版日期:2012-11-20 发布日期:2012-11-20
基金资助:
The research was supported by the Fundamental Re-search Funds for the Central Universities (2012TS008) and the National Natural Science Foundation of China (11026054).

EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

WEI Jin-Bo, ZHANG Xian-Wen

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2011-07-18 Revised:2012-04-19 Online:2012-11-20 Published:2012-11-20
Supported by:
The research was supported by the Fundamental Re-search Funds for the Central Universities (2012TS008) and the National Natural Science Foundation of China (11026054).

摘要/Abstract

摘要：

In this paper, the Cauchy problem for the inelastic Boltzmann equation with external force is considered in the case of initial data with infinite energy. More pre-cisely, under the assumptions on the bicharacteristic generated by external force, we prove the global existence of solution for small initial data compared to the local Maxwellian exp{−p|x − v|²}, which has infinite mass and energy.

关键词: inelastic Boltzmann equation, infinite energy, external force

Abstract:

Key words: inelastic Boltzmann equation, infinite energy, external force

中图分类号:

82C40

魏金波, 张显文. EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE[J]. 数学物理学报(英文版), 2012, 32(6): 2131-2140.

WEI Jin-Bo, ZHANG Xian-Wen. EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2131-2140.

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EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

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