Please use this identifier to cite or link to this item: https://doi.org/10.1017/S1446181100008099
Title: Global existence for the generalised 2D Ginzburg-Landau equation
Authors: Gao, H.
Kwek, K.-H. 
Issue Date: Jan-2003
Citation: Gao, H., Kwek, K.-H. (2003-01). Global existence for the generalised 2D Ginzburg-Landau equation. ANZIAM Journal 44 (3) : 381-392. ScholarBank@NUS Repository. https://doi.org/10.1017/S1446181100008099
Abstract: Ginzburg-Landau type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics and chemistry. Most work so far has concentrated on Ginzburg-Landau type equations with one spatial variable (ID). In this paper, the authors study a complex generalised Ginzburg-Landau equation with two spatial variables (2D) and fifth-order and cubic terms containing derivatives. Based on detail analysis, sufficient conditions for the existence and uniqueness of global solutions are obtained. © Australian Mathematical Society 2003.
Source Title: ANZIAM Journal
URI: http://scholarbank.nus.edu.sg/handle/10635/115747
ISSN: 14461811
DOI: 10.1017/S1446181100008099
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