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1)  nonconvex scalar conservation laws
非凸单个守恒律
1.
Global weak entropy solutions for nonconvex scalar conservation laws with two-side boundary effect;
具有两条边界影响的非凸单个守恒律的整体弱熵解
2.
Structure of the global weak entropy solution of nonconvex scalar conservation laws with boundary conditions;
具有边界条件的非凸单个守恒律整体弱熵解的结构
3.
This thesis is concerned with the structure and behaviors of the waves of global weak entropy solutions for the initial-boundary value problems of nonconvex scalar conservation laws.
本文研究了非凸单个守恒律仞边值问题弱熵解的结构和波的行为,分别在流函数含有一个拐点,初始值为具有有限个间断点的分段常数函数和边界值为常数及流函数具有有限个拐点,初始值为两段常数和边界值为常数的条件下,构造非凸单个守恒律初边值问题的整体弱熵解,描述初等波与边界的相互作用情况,澄清弱熵解在边界附近的性态。
2)  nonconvex scalar viscous conservation law
非凸单个粘性守恒律
3)  scalar convex conservation laws
单个凸守恒律
1.
This thesis is concerned with the pointwise error estimates of vanishing viscosity methods for initial-boundary value problems for scalar convex conservation laws.
通过使用由Tadmor-Tang引进的加权误差函数和某种自益内插技巧,对初始值和边界值分别是严格递减和严格递增的具有有限个间断点的分段常数函数的单个凸守恒律的初边值问题,我们导出其粘性消失法的一个最优的逐点误差估计为O(ε)。
4)  conservation laws with non-convexity conditions
具有非凸条件的单个守恒律
1.
This thesis is concerned with L~1-norm error estimates for viscosity approximations of theinitial-boundary value problem of scalar conservation laws with non-convexity conditions.
本文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O(ε~(1/2)+ε|lnε|。
5)  scalar conservation laws
单个守恒律
1.
By using polygonal approximations method,the global approximation solution is constructed for the initial-boundary value problem of non-convex scalar conservation laws in Finite Interval,and its convergence to the global weak entropy solution of corresponding initial-boundary value problem is proved in this paper.
使用折线逼近法,构造了有限区间上非凸单个守恒律初边值问题的整体近似解,并证明其收敛到初边值问题的整体弱熵解。
2.
The approximation solution for the Riemann problem of scalar conservation laws is constructed by using the polygonal approximation method and the error estimate of its boundary layer is presented in this paper.
使用折线逼近法构造了单个守恒律Riemann问题的近似解,给出了近似解的边界层误差估计。
3.
This paper considers the strong convergence of the Lρoc(R+ ×R) (1<p <+ ∞) uniformly bounded approximate solutions to the Cauchy problem of the following scalar conservation laws A new compactness result is obtained, in which f(u) isn t asked to satisfy any growth condition at infinity.
单个守恒律方程L_(loc)~p有界逼近解的一个新紧性结果及其应用赵会江(中国科学院武汉数学物理研究所,武汉430071)关键词单个守恒律;有界逼近解;强收敛性中图分类号O175。
6)  scalar convex conservation law
边界条件的单个凸守恒律
补充资料:非律仪非不律仪
【非律仪非不律仪】
 (术语)三种无表色之一。谓律仪即非善戒,不律仪即非恶戒之非戒律的善恶之无表色也。律仪为极善,不律仪为极恶,其他之善恶,善恶皆势用微劣,故称之为处中之善,处中之恶,皆为非律仪非不律仪,即非戒律的之善与恶也。(参见:无表色)
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