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单个守恒律初边值问题的连续弱熵解 被引量：1

The global continuous weak entropy solution for the initial-boundary problem of scalar conservation laws
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摘要 对单个凸守恒律的初边值问题给出其整体连续的弱熵解存在且唯一的一个充分条件,并用截断方法构造其整体连续弱熵解,从而得到弱熵解的边界性态. A sufficient condition that its global continuous weak entropy solution exists and is unique for the initial-boundary problem of scalar convex conservation laws is given, and the global continuous weak entropy solution is constructed by the truncation method, as well as its boundary behaviors is obtained.
作者 杨小辉
机构地区 广东警官学院计算机系
出处 《暨南大学学报（自然科学与医学版）》 CAS CSCD 北大核心 2009年第3期250-254,共5页 Journal of Jinan University(Natural Science & Medicine Edition)
基金 国家自然科学基金资助项目(10571075)
关键词 单个凸守恒律初边值问题 整体连续的弱熵解 边界熵条件 initial-boundary problem of scalar convex conservation laws global continuous weak entropy solution boundary entropy condition
分类号 O175.27 [理学—数学]
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共引文献13

同被引文献9

  • 1Bustos MC,Concha F,Wendland WL.Global weak solution to the problem of continuous sedimentation of an ideal suspension. Mathematical Methods in the Applied Sciences . 1990 被引量：1
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  • 6Tadmor, E,and Tang, T.Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. SIAM Journal on Numerical Analysis . 1999 被引量：1
  • 7Nessyahu H and Tassa T.Convergence rate of approximate solutions to conservation laws with initial rarefactions. SIAM Journal on Numerical Analysis . 1994 被引量：1
  • 8杨小辉.单个守恒律初边值问题的连续弱熵解的粘性逼近解的L^1收敛率[J].湖南理工学院学报（自然科学版）,2009,22(1):9-11. 被引量：1
  • 9刘红霞,霍平.单个守恒律初边值问题粘性消失法的L^1-误差估计[J].暨南大学学报（自然科学与医学版）,2002,23(1):15-23. 被引量：2

引证文献1

暨南大学学报（自然科学与医学版）
2009年 第3期

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