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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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摘要 This paper gives the kinetic formation of multi-dimensional conservation laws and proves the compactness of velocity averages by employing the compactness theorem in L(loc)(1)(R(n) x R(t)). As a by product, the existence and uniqueness of the generalized solution is obtained. This paper gives the kinetic formation of multi-dimensional conservation laws and proves the compactness of velocity averages by employing the compactness theorem in L(loc)(1)(R(n) x R(t)). As a by product, the existence and uniqueness of the generalized solution is obtained.
作者 胡家信
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第2期218-228,共11页 数学物理学报(B辑英文版)
关键词 conservation law generalized solution kinetic equation conservation law generalized solution kinetic equation
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