Global spatially periodic solutions to the Ginzburg–Landau equation

DOI10.1017/S0308210500022253zbMath0676.35076MaRDI QIDQ3831376

Yisong Yang

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial value problemperiodic boundary conditionglobal solutionsregular initial datacomplex scalar Ginzburg-Landau wave equationfinite-time blowing-upglobal spatially-periodic solutionssmall initial states

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions ⋮ Convergence of the pseudospectral method for the Ginzburg-Landau equation ⋮ Asymptotics of solutions to the periodic problem for a Burgers type equation ⋮ Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation ⋮ Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation ⋮ Weak solutions to the two-dimensional derivative Ginzburg-Landau equation ⋮ Existence of periodic solutions of the generalized Ginzburg-Landau equation with periodic boundary condition

Cites Work

• Unnamed Item
• Periodic solutions of the Ginzburg-Landau equation
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Instabilities of the Ginzburg-Landau equation: periodic solutions
• Recurrent motions in certain continuum dynamical systems
• Recurrence, dimensionality, and Lagrange stability of solutions of the nonlinear Schrödinger equation
• Finite bandwidth, finite amplitude convection
• Stability of Spatially Periodic Supercritical Flows in Hydrodynamics

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