Frontiers of Mathematics in China >
Regularity results of solution uniform in time for complex Ginzburg-Landau equation
Received date: 15 Jul 2019
Accepted date: 02 Mar 2020
Published date: 15 Apr 2020
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We provide the H2-regularity result of the solution ψ and its first- order time derivative ψt and the second-order time derivative ψtt 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.
Yinnian HE . Regularity results of solution uniform in time for complex Ginzburg-Landau equation[J]. Frontiers of Mathematics in China, 2020 , 15(2) : 305 -315 . DOI: 10.1007/s11464-020-0827-z
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