in this paper, we obtained the boundedness of solution map for semilinear parabolic system with a dirichlet boundary control using semigroup theory etc.
利用半群理论等方法讨论了半线性抛物型边界控制系统解映射的有界性 。
in this paper the application of penalty shifting method to the approximate solution of the optimal initial control problems for the parabolic system on doubly connected region is researched.
研究了惩罚移位法应用于一类种群扩散系统最优边界控制的计算,构造了其逼近程序,并证明了这种方法的收敛性。
the equations of mass conservations of the reactions arc described by a nonlinear parabolic system of equations.
反应的质量守恒方程为非线性抛物方程组,目标函数为一定时间内输入的气体量。
the equations of mass conservations of the reactions arc described by a nonlinear parabolic system of equations. the objective function is the input quantity of gas in a fixed period of time.
反应的质量守恒方程为非线性抛物方程组,目标函数为一定时间内输入的气体量。
this paper deals with a degenerate parabolic system with nonlocal sources.
本文讨论一类具有非局部源退化抛物方程组。
in this paper, we deal with a parabolic system with nonlocal sources. to a blow-up solution, we establish its precisely blow-up rate estimation and show its boundary estimation.
考虑一类具有非局部源项的抛物型方程组,首先建立了爆破解的爆破速率估计,并在此基础上给出了爆破解的边界层估计。
local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
the properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
this paper deals with blow-up estimates of the nonnegative solutions to a parabolic system with localized nonlinear reactions.
讨论了一类带局部化非线性反应项的扩散方程组的爆破估计问题。
a parabolic system with nonlinear boundary conditions is considered. t he existence and uniqueness of a nonnegative classical solution are proved to this problem.
考虑了一个具有非线性边界条件的抛物系统,证明了这个问题非负古典解的存在唯一性。
this thesis is devoted to the existence and blow-up for the positive solution of degenerate parabolic system and a class of nonlinear degenerate diffusion equation with nonlocal source .
本文研究一类退缩抛物系统正解的局部存在和爆破以及一类含非局部源的非线性退化扩散方程解的全局存在和爆破。
in this paper, the global existence of the initial-boundary-value problem for a strongly coupled parabolic system is considered by the semigroup method;
本文利用半群方法证明了一类强耦合非线性抛物型方程组初边值问题的整体解存在性;
the homogenization of a coupled parabolic system is discussed carefully and the homogenization results are obtained.
详细讨论了多孔介质中一类耦合抛物方程组的均匀化过程,并给出了均匀化结果。
in chapter one, a new method of approximating the solution of second-order parabolic system using reproducing kernel function is devised.
第一章研究了一类二阶抛物型方程组的一种新数值方法-再生核函数法。