Force stability of the Boltzmann equations

被引：0
|
作者：
Lyu, Ming-Jiea [1 ]
Wu, Kung-Chien [2 ,3 ]
机构：
[1] Chung Yuan Christian Univ, Dept Appl Math, Taoyuan, Taiwan
[2] Natl Cheng Kung Univ Tainan, Dept Math, Tainan, Taiwan
[3] Nat Taiwan Univ, Natl Ctr Theoret Sci, Taipei, Taiwan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2024年 / 35卷 / 04期
关键词：
Boltzmann equation with forces; stability; UNIFORM STABILITY; EXPONENTIAL CONVERGENCE; L-1-STABILITY; SPACE; L-1;
D O I：
10.1142/S0129167X24500083
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Boltzmann equation with external force in the whole space, where the collision kernel is assumed to be hard potential and cutoff. We prove that the solutions of such Boltzmann equations are L-p (1 <= p < infinity) stable under the perturbation of external force. Our estimate is based on the gradient estimate of the solution. The key step of this paper is to estimate the solutions of the equations propagate in different forward bi-characteristic.
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页数：25
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