| 具有非凸条件的单个守恒律初边值问题的粘性逼近解的L^1模误差估计 |
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| 引用本文： | 吴维,陈喜林.具有非凸条件的单个守恒律初边值问题的粘性逼近解的L^1模误差估计[J].漯河职业技术学院学报,2012,11(2):89-91. |
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| 作者姓名： | 吴维 陈喜林 |
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| 作者单位： | 罗定职业技术学院,广东罗定,527200 |
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| 摘 要： | 研究具有非凸条件的单个守恒律初边值问题的粘性逼近解的L^1模误差估计．在流函数有一个拐点的条件下，就初始值为两段常数和边界值为常数的情形，根据弱熵解的几何结构，使用匹配行波解方法导出其粘性逼近解和无粘性解间的L^1模误差界为0（ε^1/2＋ε ｜lnε｜）．
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| 关 键 词： | 具有非凸条件的单个守恒律 初边值问题 边界熵条件 粘性逼近解 L^1模误差估计 |
L1-norm Error Estimates for Viscosity Approximations of the Initial-boundary Value Problem of Scalar Conservation Laws with Non-convexity Conditions |
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| WU Wei
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Chen xi-lin.L1-norm Error Estimates for Viscosity Approximations of the Initial-boundary Value Problem of Scalar Conservation Laws with Non-convexity Conditions[J].Journal of Luohe Vocational and Technical College,2012,11(2):89-91. |
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| Authors: | WU Wei Chen xi-lin |
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| Institution: | (Guangdong Luoding Polytechnic,Luoding 527200 China) |
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| Abstract: | This thesis is concerned with L1-norm error estimates for viscosity approximations of the initial-boundary value problem of scalar conservation laws with non-convexity conditions.Under the condition that the flux function has one inflection point,according to the geometric structure of its weak entropy solutions,by using a matching method and the traveling wave solutions,we derive an error between the viscosity solution and its invisid solution is bounded by O(ε1/2+ε|ln ε|) in L1-norm for the initial-boundary value problem whose initial data is two pieces of constant and boundary data is constant. |
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| Keywords: | Conservation laws with non-convexity conditions Initial-boundary value problem Boundary entropy condition Viscosity approximations L2-norm error estimate |
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