An Example of Nonuniqueness for Solutions to the Homogeneous Boltzmann Equation
被引:1
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作者:
Bernt Wennberg
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机构:Chalmers University of Technology,Department of Mathematics
Bernt Wennberg
机构:
[1] Chalmers University of Technology,Department of Mathematics
来源:
Journal of Statistical Physics
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1999年
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95卷
关键词:
Boltzmann equation;
hard-potential interaction;
nonuniqueness;
nonconservation of energy;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
The paper deals with the spatially homogeneous Boltzmann equation for hard potentials. An example is given which shows that, even though it is known that there is only one solution that conserves energy, there may be other solutions for which the energy is increasing; uniqueness holds if and only if energy is assumed to be conserved.
机构:
Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, JapanKyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
Morimoto, Yoshinori
Ukai, Seiji
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机构:Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
Ukai, Seiji
Xu, Chao-Jiang
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机构:
Univ Rouen, CNRS, UMR 6085, F-76801 St Etienne, FranceKyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
Xu, Chao-Jiang
Yang, Tong
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h-index: 0
机构:
City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R ChinaKyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
机构:
City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Acad Math & Syst Sci, CAS, Inst Math, Beijing 100190, Peoples R ChinaCity Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Huo, Zhaohui
Morimoto, Yoshinori
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, JapanCity Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Morimoto, Yoshinori
Ukai, Seiji
论文数: 0引用数: 0
h-index: 0
机构:
City Univ Hong Kong, Lie Bie Ju Ctr Math Sci, Hong Kong, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Ukai, Seiji
Yang, Tong
论文数: 0引用数: 0
h-index: 0
机构:
City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R ChinaCity Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China