典型文献
Generalized Persistence of Entropy Weak Solutions for System of Hyperbolic Conservation Laws
文献摘要：
Let u(t,x)be the solution to the Cauchy problem of a scalar conservation law in one space dimension.It is well known that even for smooth initial data the solution can become discontinuous in finite time and global entropy weak solution can best lie in the space of bounded total variations.It is impossible that the solutions belong to,for example,H1 because by Sobolev embedding theorem H1 functions are H?lder continuous.However,the author notes that from any point(t,x),he can draw a generalized charac-teristic downward which meets the initial axis at y=α(t,x).If he regards u as a function of(t,y),it indeed belongs to H1 as a function of y if the initial data belongs to H1.He may call this generalized persistence(of high regularity)of the entropy weak solutions.The main purpose of this paper is to prove some kinds of generalized persistence(of high regularity)for the scalar and 2×2 Temple system of hyperbolic conservation laws in one space dimension.
文献关键词：
中图分类号：
作者姓名：
Yi ZHOU
作者机构：
School of Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处：
引用格式：
[1]Yi ZHOU-.Generalized Persistence of Entropy Weak Solutions for System of Hyperbolic Conservation Laws)[J].数学年刊B辑（英文版）,2022(04):499-508
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Generalized,Persistence,Entropy,Weak,Solutions,System,Hyperbolic,Conservation,Laws,Let,Cauchy,problem,scalar,conservation,one,space,dimension,It,well,known,that,even,smooth,initial,data,can,become,discontinuous,finite,global,entropy,weak,best,lie,bounded,total,variations,impossible,solutions,example,H1,because,by,Sobolev,embedding,theorem,functions,are,lder,However,author,notes,from,any,point,draw,generalized,charac,teristic,downward,which,meets,axis,If,regards,as,indeed,belongs,if,He,may,call,this,persistence,high,regularity,main,purpose,paper,prove,some,kinds,Temple,system,hyperbolic,laws
AB值：
0.620695
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