Complex Ginzburg–Landau Equation with Absorption: Existence, Uniqueness and Localization Properties

In this paper we study the time-dependent complex Ginzburg–Landau equation with a nonlinear absorbing term in Ω × ( 0 , T ) , Ω open bounded set in R n . We prove global existence and uniqueness of solutions for the initial and boundary-value problem and study the properties of localization and exti...

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Bibliographic Details
Published in:	Journal of mathematical fluid mechanics Vol. 16; no. 2; pp. 211 - 223
Main Authors:	Antontsev, Stanislav, Dias, João-Paulo, Figueira, Mário
Format:	Journal Article
Language:	English
Published:	Basel Springer Basel 01-06-2014
Subjects:	Classical and Continuum Physics Fluid- and Aerodynamics Mathematical Methods in Physics Physics Physics and Astronomy 35 K15 localization 35 B40 Ginzburg–Landau equation extinction absorption 35Q35
Online Access:	Get full text
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Summary:	In this paper we study the time-dependent complex Ginzburg–Landau equation with a nonlinear absorbing term in Ω × ( 0 , T ) , Ω open bounded set in R n . We prove global existence and uniqueness of solutions for the initial and boundary-value problem and study the properties of localization and extinction of solutions in some special cases.
ISSN:	1422-6928 1422-6952
DOI:	10.1007/s00021-013-0147-0