Vega de Prada, José Manuel (2005) Instability of the steady states of some Ginzburg–Landau-like equations with real coefficients. Nonlinearity, 18 (4). pp. 1425-1441. ISSN 0951-7715
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| Item Type: | Article | ||||
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| Authors/Creators: |
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| Title: | Instability of the steady states of some Ginzburg–Landau-like equations with real coefficients | ||||
| Publisher: | The Institute of Physics & the London Mathematical | ||||
| Journal/Publication Title: | Nonlinearity | ||||
| Date: | July 2005 | ||||
| Volume: | 18 | ||||
| Number: | 4 | ||||
| Department: | Mathematical Fundamentals of Aeronautics Technology | ||||
| Faculty: | E.T.S.I. Aeronautical (UPM) | ||||
| Creative Commons licenses: | Recognition - No derivative works - No commercial | ||||
| Item ID: | 6077 | ||||
| Subjects: | Mathematics Aeronautics |
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Official URL: http://iopscience.iop.org/0951-7715/18/4/001
Abstract
The instability of the steady states with nonconstant amplitude is analysed for a nonlocal Ginzburg–Landau equation with real coefficients and quasiperiodic boundary conditions. The results are obtained in terms of easily recognized, qualitative properties of the steady states. Some of the results are new, even for the standard (local) Ginzburg–Landau equation with real coefficients. A related Ginzburg–Landau equation coupled to a mean field is also considered that appears in the analyses of counter-propagating waves in extended systems, nonoscillatory instabilities with a conservation law, and viscous Faraday waves in large aspect ratio containers.
| Item Type: | Article |
|---|---|
| Subjects: | Mathematics Aeronautics |
| Código ID: | 6077 |
| Depositado Por: | Memoria de Investigacion 2 |
| Depositado el: | 18 Feb 2011 10:18 |
| Last Modified: | 18 Feb 2011 10:18 |
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