Exact Blow-up Solutions forMultidimensional Landau--Lifshitz Equations

We present exact blow-up solutions for multidimensional Landau-Lifshitz equations. It isshown that for any prescribed blow-up time there are exact C-solutions which are blow-up atthe blow-up time and that the solutions are smooth except at the blow-up time.In 1986, Zhou and Guo in [3] proved the global existence of weak solution for generalizedLandau-Lifshitz equations without Gilbert term in multidimensions. They consider the homogeneous boundary problemwith the initial value conditionfor …     

Exact Blow—up Solutions for Multidimensional Landau—Lifshitz Equations

We present exact blow-up solutions for multidimensionalLandau--Lifshitz equations. It is shown that for any prescribed blow-up timethere are exact C∞--solutions which are blow-up at the blow-up timeand that the solutions are smooth except at theblow-up time.     

Attractors of the Derivative Complex Ginzburg-Landau Equation in Unbounded Domains

We consider the following initial boundary problem of derivative complex Ginzburg-Landau （DCGL） equation     

Global Regular Solutions for Landau-Lifshitz Equation

The global regular solutions for multidimensional Landau-Lifshitz equation with initial dataut= u×△u, u(x, t, =0)=(?)(x) (1)has been considered, where u(·,t) : Rn×R+→S2, n = 2, 3.The Landau-Lifshitz equation, introduced by Landau and Lifshitz for study of ferromagnetic materials, is so-called the micromagnetic model which plays an important role in the understanding of nonequilibrium magnetism, the magnetic domain structure, etc. . Equation (1)     

Global Regular Solutions for Landau-Lifshitz Equation

The global regular solutions for multidimensional Landau-Lifshitz equation with initial data ut=u×△u,u(x,t=0)=φ(x)(1) has been considered, where u(., t): Rn × R+ →S2, n = 2, 3.     

完全非线性伪抛物组的非均匀网格差分格式

完全非线性伪抛物组的非均匀网格差分格式韩永前，袁光伟，周毓麟（北京应用物理与计算数学研究所）ＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＳＷＩＴＨＮＯＮＵＮＩＦＯＲＭＭＥＳＨＥＳＦＯＲＦＵＬＬＹＮＯＮＬＩＮＥＡＲＰＳＥＵＤＯ－ＰＡＲＡＢＯＬＩＣＳＹＳＴＥＭＳ￥Ｈ...     

射频功率放大器经典两盒模型的最优选取

提出了一种选取射频功率放大器的最优行为模型并获取指纹特征的方法。针对Wiener模型和Hammerstein模型,提出了一种基于加权最小二乘法的最优行为模型选取方法,并给出了具体的数学分析。并对实际系统的功率放大器进行数值仿真,验证了算法的可行性及有效性,即首先根据训练集得到放大器的行为模型系数,再采用多种评判标准,通过分析测试集、训练集的误差得到最优行为模型。数值仿真结果表明:本文提出的方法能够有效地选取射频功率放大器的最优行为模型,且拟合误差较小。     

完全非线性伪抛物组的非均匀网格差分格式

完全非线性伪抛物组的非均匀网格差分格式韩永前，袁光伟，周毓麟（北京应用物理与计算数学研究所）ＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＳＷＩＴＨＮＯＮＵＮＩＦＯＲＭＭＥＳＨＥＳＦＯＲＦＵＬＬＹＮＯＮＬＩＮＥＡＲＰＳＥＵＤＯ－ＰＡＲＡＢＯＬＩＣＳＹＳＴＥＭＳ￥Ｈ...     

一般非线性发展方程解的长时间行为

本文研究了一般形式的非线性发展方程Ｃａｕｃｈｙ问题的解关于时间的渐近性质．其结果覆盖并部分推广了导数非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程，Ｋｏｒｔｅｗｅｇ－ｄｅＶｒｉｅｓ方程和Ｂｅｎｊａｍｉｎ－Ｏｎｏ等方程的有关结果．