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The main problem studied in this thesis are properties of positive solutions to a semi-linear parabolic system with non-local nonlinear sources and null Dirichlet boundary conditions.

中文摘要:本论文主要研究了具有非局部源的半线性抛物系统并附加Dirichlet零边值的解的性质,得到了系统古典解的渐近性分析:blow-up速率、blow-up集、边界层估计等问题。

The main problem studied in this thesis are properties of positive solutions to a semi-linear parabolic system with non-local nonlinear sources and null Dirichlet boundary conditions. We give the analysis about asymptotic property: blow-up rate, blow-up set and blow-up profiles.

本论文主要研究了具有非局部源的半线性抛物系统并附加Dirichlet零边值的解的性质,得到了系统古典解的渐近性分析:blow-up速率、blow-up集,边界层估计等问题。

Duteous memorial archway is done with deal, wind blows insolation drench, already cannot see any illuminative color, blow the resembles a the dead character that blow in vain.

贞节牌坊是用松木做的,风吹日晒雨淋,已看不到任何装饰的颜色,白刮刮的像死人的骨头。

In Chapter 3,we get the global existence and blow-up criteria for the solutions.

在第三章中我们得出了解的整体存在和有限时刻Blow-up的判定准则。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性;其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性,主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性;然后利用BD函数的一维截断方法和结构定理,讨论了在BD全空间上的积分泛函的下半连续性。

And when you use them you get a lot of kudos as Japanese know you aren't part of the blow in blow out gaijin scene….

当你使用它们可以得到一个日本人知道你的荣誉很多都没有在现场进行gaijin针锋相对的一部分。。。。

And when you use them you get a lot of kudos as Japanese know you aren't part of the blow in blow out gaijin scene….

当你使用它们你得到了很多荣誉,因日本知道你不属於打击的井喷gaijin现场。。。。

It is interesting to observe that not only the simultaneous blow-up rates of the components u and v are asymmetric, but also the blow-up rates of the same component u may be in different levels under different dominations.

我们发现一个有趣的现象:这里不仅u和v的速率是不同量级的,而且同一个分量u在不同参数区域的blow-up速率也可能具有不同的量级。

In the first part we consider the case of balanced absorptions,and obtain four absorption-independent simultaneous blow-up rates under different dominations of nonlinearities.

第四章讨论具内吸收的多重耦合热方程组解的有限时刻blow-up问题。

Frederick III abolished the political power of the nobility in one blow and granted himself absolute power.

这里的「in one blow」有「一口气做一件事」的意思。

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It is also known as one of the most poisonous naturally occurring substances.

它也被称为一个最自然发生的有毒物质。

The greatest stress is found at the location on the cross section where V is the largest.

最大应力出现在横截面上V为最大的地方。

It is the most important three water problem which our country faces in the 21st century that flood and waterlog, drought and shortage of water, the deterioration of water environment.

洪涝灾害、干旱缺水、水环境恶化是二十一世纪我国面临的三大水问题。