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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论