Journal of Mathematical Fluid Mechanics

, Volume 16, Issue 2, pp 211–223 | Cite as

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

  • Stanislav AntontsevEmail author
  • João-Paulo Dias
  • Mário Figueira


In this paper we study the time-dependent complex Ginzburg–Landau equation with a nonlinear absorbing term in \({\Omega \times(0,T),\, \Omega }\) open bounded set in \({\mathbb{R}^{n}}\) . 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.

Mathematics Subject Classification (2010)

35 K15 35 B40 35Q35 


Ginzburg–Landau equation absorption localization extinction 


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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Stanislav Antontsev
    • 1
  • João-Paulo Dias
    • 1
  • Mário Figueira
    • 1
  1. 1.CMAF/ULLisboaPortugal

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