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.

本論文主要研究了具有非局部源的半線性拋物系統(tǒng)并附加Dirichlet零邊值的解的性質(zhì)干干视频，得到了系統(tǒng)古典解的漸近性分析：blow-up速率、blow-up集，邊界層估計(jì)等問(wèn)題。

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

在第三章中我們得出了解的整體存在和有限時(shí)刻Blow-up的判定準(zhǔn)則欧美日韩图自拍图片大全。

Under the Lipschitz conditions,using Morrey space and Campanatospace methods and filling-hole technique to clear off the difficulty,whicharoused by that monotonic inequalities are no longer true and blow-uptechnique are very difficult to be used again,we obtain that the weaksolutions or the very weak solutions to systems(3)are locally Holdercontinuous.

對(duì)方程組（3），我們?cè)黾恿薒ipschitz條件国产精品久久视频，利用Morrey空間法和Campanato空間法和補(bǔ)洞技巧等來(lái)克服非齊次項(xiàng)帶來(lái)的欧美性爱国产视频，單調(diào)不等式不再成立和Blow-up技巧難于適用的困難，得出了方程組（3）在一定的條件下的很弱解和弱解是局部〓連續(xù)的97性美女爽爽视频5。

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.

首先我們考慮LD空間滿足線性增長(zhǎng)的積分泛函的下半連續(xù)性91视频人妻；其次在SBD函數(shù)空間討論了被積函數(shù)為Carathéodory函數(shù)時(shí)的積分泛函在滿足對(duì)稱擬凸條件時(shí)的下半連續(xù)性，主要利用SBD函數(shù)空間的緊性定理和blow-up方法以及Morrey定理等給出了積分泛函關(guān)于L~1-強(qiáng)收斂的下半連續(xù)性人人摸人人操人人干人人射；然后利用BD函數(shù)的一維截?cái)喾椒ê徒Y(jié)構(gòu)定理国产又粗又大在线观看，討論了在BD全空間上的積分泛函的下半連續(xù)性。

Based on the maximum principle,we construct the blowing-up lower solution by the relations of parameters and solution of the ordinary differential equation and then the blow-up properties are studied.We use the maximal principle to analyse the derivative profiles of the solution and get the lower bounds and upper bounds of blow-up rate through the complicated analysis technology and the inequality theory.

基于最大值原理的比較理論免费视频AA在线观看，通過(guò)一些特定的參數(shù)關(guān)系，利用相關(guān)常微分方程的解構(gòu)造合適的爆破形式的下解曰韩一级A片特黄无码，由此得到退化反應(yīng)系統(tǒng)初邊值問(wèn)題的爆破解国产欧美日韩综合精品区；然后，對(duì)爆破解的性質(zhì)進(jìn)行進(jìn)一步的研究午夜视频在线观看91，利用極大值原理對(duì)解的導(dǎo)數(shù)特性進(jìn)行了分析国产精品15，給出了解的爆破速率的上、下界估計(jì)黄色视频男的操女的网站。

When a discussion is made on the blow-up problem for a semilinear development equation with singular cofficient,the solution is usually estimated,then the conditions for the blow-up problem are presented.

討論奇異半線性發(fā)展方程組解的B low-up問(wèn)題時(shí)国产一级毛片久久久久久，通常先對(duì)解進(jìn)行估計(jì)，然后討論在一定條件下解的B low-up十八禁视频在线。論文繼續(xù)用這種方法討論奇異半線性發(fā)展方程組解的B low-up問(wèn)題亚洲色图拍自拍，得到一定條件下解會(huì)B low-up

This is substantially different from the scalar equations with absorptions,whose blow-up rates are all known as absorption-independent.

由于具有吸收的單個(gè)方程的奇性解的blow-up速率全都與吸收無(wú)關(guān)，故與吸收有關(guān)的blow-up速率將是具吸收的耦合組問(wèn)題的特有現(xiàn)象老师嗯啊好深再用力一点免费视频，而本質(zhì)區(qū)別于單個(gè)方程問(wèn)題一级a在线爱免费观看欧美。

Three possible simultaneous blow-up rates under different dominations of nonlinearities are established.

我們得到了不同非線性指標(biāo)占優(yōu)情形下三種可能的blow-up速率。

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.

我們發(fā)現(xiàn)一個(gè)有趣的現(xiàn)象：這里不僅u和v的速率是不同量級(jí)的九九热,热久久,这里有精品，而且同一個(gè)分量u在不同參數(shù)區(qū)域的blow-up速率也可能具有不同的量級(jí)成人无码秒播在线观看视频免费下载。

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.

第四章討論具內(nèi)吸收的多重耦合熱方程組解的有限時(shí)刻blow-up問(wèn)題。