1) continuous weak entropy solution
连续的弱熵解
1.
A sufficient condition for the existence and uniqueness of the global continuous weak entropy solution for scalar conservation laws with a Finite Bound is presented.
对一端有界的单个守恒律给出其整体连续的弱熵解存在唯一的一个充分条件,用截断方法构造其整体连续的弱熵解,得到弱熵解在边界的性态。
2.
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.
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。
3.
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,the global contin- uous weak entropy solution is constructed by the truncation method and its boundary behaviors is ob- tained.
对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,得到弱熵解在边界的性态。
2) global continuous weak entropy solution
整体连续的弱熵解
1.
This thesis is concerned with the global continuous weak entropy solution and the L~1 convergence rate of its viscosity approximations for the initial-boundary problem of scalar conservation laws.
本文研究单个守恒律初边值问题的整体连续的弱熵解及其粘性逼近解的L~1收敛率。
2.
A sufficient condition that its global continuous weak entropy solution exists and is unique for the initial-boundary problem of scalar convex conservation laws is given,and the global continuous weak entropy solution is constructed by the truncation method,as well as its boundary behaviors is obtained.
对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且唯一的一个充分条件,并用截断方法构造其整体连续弱熵解,从而得到弱熵解的边界性态。
3.
According to the structure of the global continuous weak entropy solution of the initial-boundary problem of scalar conservation laws, and using L1-stability lemma for nonhomogeneous viscous equations with initial-boundary conditions, This thesis attain a convergence rate that the viscosity solution converge to the inviscid solution in L1-norm.
根据单个守恒律初边值问题的整体连续的弱熵解的结构,利用具有初边值条件的非齐次粘性方程的L1-稳定性引理导出其粘性解L1收敛到无粘解的一个收敛率。
5) hemicontinuous operator
强弱连续的算子
6) weakly upper semi-continuous
弱上半连续的
补充资料：弱解
弱解
weak solution
弱解I叭限，kso加‘叨;e顽oe petue。。e] 微分方程 无。三艺a:(x)D“u=f(*) I匡l‘门在区域D的弱解是一局部可积函数u，它对在D中具有紧支集的所有光滑函数毋(比如，C田类函数)满足等式 丁·L‘，“二一丁f，己/. DD这里，(*)中的系数a。(%)假定是充分光滑的，而L’是L的形式的肠脚nge伴随算子: 五‘价一艺(一l)，·，D·(a。毋). l口}《m例如，广义导数f=D““可以定义为局部可积函数f，使得“是方程D‘“”f的一个弱解. 在考虑(*)的弱解时，产生下面的问题:在什么条件下它们是强解(见强解(strong solution))?例如，在椭圆型方程情形下，每一个弱解都是强解.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条