Schönborn, Oliver ; Puri, Sanjay ; Desai, Rashmi C. (1994) Singular perturbation analysis for unstable systems with convective nonlinearity Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 49 (4). pp. 3480-3483. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v49/i4/p3480_1
Related URL: http://dx.doi.org/10.1103/PhysRevE.49.3480
Abstract
We use a singular perturbation method to study the interface dynamics of a nonconserved order parameter (NCOP) system, of the reaction-diffusion type, for the case where an external bias field or convection is present. We find that this method, developed by Kawasaki, Yalabik, and Gunton [Phys. Rev. A 17, 455 (1978)] for the time-dependent Ginzburg-Landau equation and used successfully on other NCOP systems, breaks down for our system when the strength of convective nonlinearity gets large enough.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 33769 |
| Deposited On: | 25 Apr 2011 06:18 |
| Last Modified: | 25 Apr 2011 06:18 |
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