Publisher： Cambridge University Press
E-ISSN： 1446-8735|44|3|381-392
ISSN： 1446-1811
Source： ANZIAM Journal, Vol.44, Iss.3, 2003-01, pp. : 381-392
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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 (1D). 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.
Related content
Access to resources
Recommend
Well-posedness and dynamics for the fractional Ginzburg-Landau equation
By Pu Xueke
Applicable Analysis, Vol. 92, Iss. 2, 2013-02 ,pp. :
Uniform estimates for the parabolic Ginzburg–Landau equation
ESAIM: Control, Optimisation and Calculus of Variations, Vol. 8, Iss. issue, 2010-03 ,pp. :