Global existence for the generalised 2D Ginzburg-Landau equation

• Autores: Keng-Huat Kwek, Hongjun Gao
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 3, 2003, págs. 381-392
• Idioma: inglés
• DOI: 10.1017/s1446181100008099
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.