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

Abstract

We provide the H²-regularity result of the solution ψ and its first- order time derivative ψ_t and the second-order time derivative ψ_tt 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.

Keywords

Complex Ginzburg-Landau equation (CGL) / H²-regularity / sharp a prioriestimates

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RIGHTS & PERMISSIONS

Higher Education Press