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|Title:||Global existence for the generalised 2D Ginzburg-Landau equation|
|Source:||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|
|Appears in Collections:||Staff Publications|
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