单个守恒律初边值问题粘性逼近解的收敛率  

The convergence rate for the viscosity approximations of the initial-boundary value problem for scalar conservation laws

作　　者：李杰民[1] 杨小辉[2] 

机构地区：[1]湛江师范学院数学与计算科学学院,广东湛江524048 [2]广东警官学院计算机系,广东广州510440

出　　处：《西南民族大学学报（自然科学版）》2008年第2期264-269,共6页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：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唯一的一个充分条件,并用截断方法构造其整体连续的弱熵解,根据弱熵解的结构,利用具有初边值条件的非齐次粘性方程的稳定性引理导出其粘性解收敛到无粘解的一个收敛率.A sufficient condition for the existence and uniqueness of the global continuous weak entropy solution for the initial-boundary problem of scalar convex conservation laws is presented, and the global continuous weak entropy solution is constructed by the truncation method. According to the structure of the weak entropy solution, a convergence rate for the viscosity approximations to the inviscid solution is derived by using the stability lemma for nonhomogeneous viscous equations with initial-boundary conditions.

关 键 词：边界条件的单个凸守恒律 连续的弱熵解 边界熵条件 粘性逼近解 L^1收敛率 

分 类 号：O175.27[理学—数学]