In this paper, the authors have studied a generalized Ginzburg᎐Landau equation Ž . in two spatial dimensions 2D . They have shown that this equation, under periodic boundary conditions, has the maximal attractor with finite Hausdorff dimension. This rigorously establishes the foundation for further
✦ LIBER ✦
Asymptotic structure factor for the two-component Ginzburg-Landau equation
✍ Scribed by Sanjay Puri
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 548 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0375-9601
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The 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 concentrates on Ginzburg᎐Landau-type equations Ž . with one spatial dimension 1D . In this paper, the author