A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 218-228.

A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

胡家信

Young Scientists Laboratory of Wuhan Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

收稿日期:1994-06-08 修回日期:1995-07-16 出版日期:1996-06-25 发布日期:1996-06-25
基金资助:
Supported by CNSF (Youth).

A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

Ha Jiaxin

Young Scientists Laboratory of Wuhan Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

Received:1994-06-08 Revised:1995-07-16 Online:1996-06-25 Published:1996-06-25
Supported by:
Supported by CNSF (Youth).

摘要/Abstract

摘要： This paper gives tile kinetic formulation of multi-dimensional conservation laws and proves the compactness of velocity averages by employing the compactness theorem in L_loc¹(Rⁿ×R_t). As a byproduct, the existence and uniqueness of the generalized solution is obtained.

关键词: Conservation Law, generalized solution, kinetic equation

Abstract: This paper gives tile kinetic formulation of multi-dimensional conservation laws and proves the compactness of velocity averages by employing the compactness theorem in L_loc¹(Rⁿ×R_t). As a byproduct, the existence and uniqueness of the generalized solution is obtained.

Key words: Conservation Law, generalized solution, kinetic equation

胡家信. A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS[J]. 数学物理学报(英文版), 1996, 16(2): 218-228.

Ha Jiaxin. A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS[J]. Acta mathematica scientia,Series B, 1996, 16(2): 218-228.

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A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

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