Asymptotic Behavior of Solutions of Complex Discrete Evolution Equations: The Discrete Ginzburg-Landau Equation

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dc.creatorKarachalios, Nikos I.
dc.creatorNistazakis, Hector E.
dc.creatorYannacopoulos, Athanasios N.
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:17:58Z
dc.date.available2026-07-07T05:17:58Z
dc.descriptionWe study the asymptotic behavior of complex discrete evolution equations of Ginzburg- Landau type. Depending on the nonlinearity and the data of the problem, we find different dynamical behavior ranging from global existence of solutions and global attractors, to blow up in finite time. We provide estimates for the blow up time, depending not only on the initial data but also on the size of the lattice. Some of the theoretical results, are tested by numerical simulations.
dc.identifierhttps://arxiv.org/abs/math/0503297
dc.identifierhttp://arxiv.org/abs/math/0503297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74500
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.titleAsymptotic Behavior of Solutions of Complex Discrete Evolution Equations: The Discrete Ginzburg-Landau Equation
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