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具有边界条件的非凸单个守恒律整体弱熵解的结构
引用本文:崔慧萍,刘红霞.具有边界条件的非凸单个守恒律整体弱熵解的结构[J].暨南大学学报,2005,26(3):291-297.
作者姓名:崔慧萍  刘红霞
作者单位:暨南大学数学系,广东,广州,510632;暨南大学数学系,广东,广州,510632
基金项目:广东省自然科学基金(04010473)资助项目
摘    要:对具有限个间断点的分段常数初始值和常数边界值的非凸单个守恒律问题研究弱熵解的结构及波与边界的相互作用,澄清弱熵解在边界附近的性态。

关 键 词:非凸单个守恒律  初边值问题  边界熵条件  整体弱熵解
文章编号:1000-9965(2005)03-0291-07
收稿时间:04 21 2004 12:00AM
修稿时间:2004年4月21日

Structure of the global weak entropy solution of nonconvex scalar conservation laws with boundary conditions
CUI Hui-ping,LIU Hong-xia.Structure of the global weak entropy solution of nonconvex scalar conservation laws with boundary conditions[J].Journal of Jinan University(Natural Science & Medicine Edition),2005,26(3):291-297.
Authors:CUI Hui-ping  LIU Hong-xia
Abstract:The structure and interaction of waves with the boundary of the weak solution to the initial- boundary value problem of nonconvex scalar conservation laws are studied, under the condition that the boundary data and initial data are respectiveily constant and piecewise constant with finite discontinuity points. The behavior of the weak solution nearby the boundary is clarified.
Keywords:nonconvex scalar conservation laws  initial - boundary value problem  boundary entropy condition  global weak entropy solution
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