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	非齐次守恒律方程分片光滑解的粘性方法; VISCOSITY METHODS FOR PIECEWISE SMOOTH SOLUTIONS TO NONHOMOGENEOUS SCALAR CONSERVATIONS LAWS
	杨宏伟
	2001
关键词	nonhomogeneous scalar conservation laws error estimate viscosity methods piece-wise smooth
英文摘要	It is proved that for nonhomogeneous scalar conservation laws, if the flux function is strictly convex, and the entropy solution is piecewise smooth with finitely many discontiuities (which includes initial central rarefaction waves, initial shocks, possible spontaneous formation of shocks in a future time and in teractions of all these patterns), then the error of viscosity solution to the inviscid solution is bounded by O(ε| lnε| ) in L1-norm. If neither central rarefaction waves nor spontaneous shocks occur, the error bound is improved to O(ε).; 中国科学院知识创新工程项目; 国家重点基础研究发展计划(973计划); 中文核心期刊要目总览(PKU); 中国科学引文数据库(CSCD); 0; 3; 273-280; 23
语种	中文
出处	知网 ; 万方 ; http://d.g.wanfangdata.com.cn/Periodical_gdxxjssxxb200103009.aspx
出版者	高等学校计算数学学报
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/13063]
专题	数学科学学院
推荐引用方式 GB/T 7714	杨宏伟. 非齐次守恒律方程分片光滑解的粘性方法, VISCOSITY METHODS FOR PIECEWISE SMOOTH SOLUTIONS TO NONHOMOGENEOUS SCALAR CONSERVATIONS LAWS. 2001-01-01.

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