非齐次守恒律方程分片光滑解的粘性方法

• 作者: 杨宏伟
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 关键词: nonhomogeneous scalar conservation laws error estimate viscosity methods piece-wise smooth
• 年，卷（期）: 2001,（3）
• 页码范围: 273-280
• 页数: 8页
• 分类号: O241.82|O175.24
• 字数: 4378字
• 语种: 中文
• DOI: 10.3969/j.issn.1000-081X.2001.03.009

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).

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	杨宏伟	北京大学数学科学学院科学与工程计算系	2	9	1.0	2.0