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Volume 20, Issue 1
Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation

Yiping Fu & Yongsheng Li

J. Part. Diff. Eq., 20 (2007), pp. 65-70.

Published online: 2007-02

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  • Abstract

In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.

  • Keywords

Generalized 2D Ginzburg-Landau equation initial boundary value problem ε-regular map global solution global attractor

  • AMS Subject Headings

35R35 35K55.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-20-65, author = {Yiping Fu and Yongsheng Li }, title = {Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {1}, pages = {65--70}, abstract = {

In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5293.html} }
TY - JOUR T1 - Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation AU - Yiping Fu & Yongsheng Li JO - Journal of Partial Differential Equations VL - 1 SP - 65 EP - 70 PY - 2007 DA - 2007/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5293.html KW - Generalized 2D Ginzburg-Landau equation KW - initial boundary value problem KW - ε-regular map KW - global solution KW - global attractor AB -

In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.

Yiping Fu and Yongsheng Li . (2007). Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation. Journal of Partial Differential Equations. 20 (1). 65-70. doi:
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