Regularity results of solution uniform in time for complex Ginzburg-Landau equation  

作　　者：Yinnian HE 

机构地区：[1]School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049,China

出　　处：《Frontiers of Mathematics in China》2020年第2期305-315,共11页中国高等学校学术文摘·数学（英文）

基　　金：supported by the Major Research and Development Program of China(Grant No.2016YFB0200901);the National Natural Science Foundation of China(Grant No.11771348).

摘　　要：We provide the H2-regularity result of the solution ip and its first-order time derivative ipt and the second-order time derivative iptt for the complex Ginzburg-Landau equation with the Dirichlet or Neumann boundary conditions.The analysis shows that these regularity results are uniform when t tends to ∞ and 0 and are dependent of the powers of ε^-1.

关 键 词：Complex Ginzburg-Landau equation(CGL) H^2-regularity sharp a priori estimates 

分 类 号：O17[理学—数学]