Induced trajectories and approximate inertial manifolds for the Ginzburg- Landau partial differential equation

DOI10.1016/0167-2789(90)90125-9zbMath0696.35177OpenAlexW1980195419WikidataQ115363832 ScholiaQ115363832MaRDI QIDQ910615

Keith Promislow

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90125-9

zbMATH Keywords

inertial manifoldsuniversal attractorGinzburg-Landau partial differential equation

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Partial differential equations of mathematical physics and other areas of application (35Q99) Hydrodynamic stability (76E99)

Related Items (18)

Synchronized disorder in a 2D complex Ginzburg-Landau equation ⋮ Exponential attractor for the 3D Ginzburg-Landau type equation ⋮ On computing the long-time solution of the two-dimensional Navier-Stokes equations ⋮ Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation ⋮ Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with \(p\)-Laplacian ⋮ Localization and approximation of attractors for the Ginzburg-Landau equation ⋮ Dynamics of the 3-D fractional complex Ginzburg-Landau equation ⋮ Exponential attractor of the 3D derivative Ginzburg-Landau equation ⋮ ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION ⋮ The spectral method for long-time behavior of a fractional power dissipative system ⋮ Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation ⋮ Approximate inertial manifolds for the 2d model of atmosphere ⋮ Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian ⋮ Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation ⋮ Global existence of solutions to the derivative 2D Ginzburg-Landau equation ⋮ Global attractors for the complex Ginzburg-Landau equation ⋮ Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. ⋮ Traveling waves in the complex Ginzburg-Landau equation

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