The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
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Publication:2564743
DOI10.1007/BF00916648zbMath0861.35112OpenAlexW1969634399MaRDI QIDQ2564743
Edriss S. Titi, Hung V. Ly, Jin-qiao Duan
Publication date: 4 May 1997
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00916648
regularityuniquenessglobal attractorGinzburg-Landau equationglobal existenceinertial manifoldeffect of the nonlocal term on the global dynamicsnonlocal complex amplitude equation
PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55)
Related Items (12)
Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation ⋮ Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms ⋮ Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg-Landau equation ⋮ Dynamics of a nonlocal Kuramoto-Sivashinsky equation ⋮ Invariant manifolds and the global attractor of the generalised nonlocal Ginzburg-Landau equation in the case of homogeneous Dirichlet boundary conditions ⋮ Invariant manifolds. Global attractor of a generalized version of the nonlocal Ginzburg-Landau equation ⋮ Asymptotically correct error estimation for collocation methods applied to singular boundary value problems ⋮ Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation ⋮ Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case ⋮ On nonlinear amplitude evolution under stochastic forcing ⋮ Time-periodically forced amplitude evolution in spatially extended nonlinear systems ⋮ Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation
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