带参数的Ginzburg-Landau方程在非齐次Neumann边界条件下解的性质研究

发布时间：2018-02-02 12:16

本文关键词： 带参数的Ginzburg-Landau方程全局解渐进特征　出处：《南京师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：本文主要研究了如下带参数的Ginzburg-Landau方程：第一步是通过齐次化边界条件的方法来证明存在全局的弱解.第二步是证明全局的弱解是唯一的.第三步是证明若方程的Neumann边界数据按某种意义衰减,那么方程的解也以相同的方式衰减.
[Abstract]:In this paper, the following Ginzburg-Landau equations with parameters are studied:. The first step is to prove the existence of global weak solution by homogeneous boundary condition. The second step is to prove that the global weak solution is unique. The third step is to prove that if the Neumann boundary data of the equation decay in a sense, the second step is to prove that the global weak solution is unique. Minus. Then the solution of the equation attenuates in the same way.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O175

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