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Burgers方程初边值问题的粘性消失极限

Vanishing Viscosity Limits and Initial-Boundary-Value Problem for The Burger's Equation
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摘要 在本文中,我们研究粘性Burgers方程在物理边界存在时的粘性消失极限,并证明相应的无粘Burgers方程初边值问题(IBVP)满足熵条件的弱解的唯一性和对初边值的连续依赖性. In this paper, we study the vanishing viscosity limit for the viscous Burgers equation in the presence of physical boundary and prove the uniqueness and continuous de- pendence of the entropy weak solution to the corresponding initial-boundary-value problem (IBVP) for the inviscid Burgers equations.
作者 罗兰
出处 《应用数学学报》 CSCD 北大核心 2012年第4期649-662,共14页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11126021)资助项目
关键词 BURGERS方程 粘性消失极限 边界条件 连续依赖性 Burgers equations vanishing viscosity limit boundary condition continuous dependence
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参考文献8

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