Phase dynamics in the real Ginzburg-Landau equation
Melbourne, Ian and Schneider, Guido (2004) Phase dynamics in the real Ginzburg-Landau equation Mathematische Nachrichten, 263-26 (1). pp. 171-180.
Spatially periodic equilibria A(X, T) = 1 - q2 eiqX+i0 are the locally preferred planform for the Ginzburg-Landau equation TA = 2XA + A - A|A|2. To describe the global spatial behavior, an evolution equation for the local wave number q can be derived formally. The local wave number q satisfies approximately a so called phase diffusion equation q = 2h(q). It is the purpose of this paper to explain the extent to which the phase diffusion equation is valid by proving estimates for this formal approximation.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 January 2004|
|Identification Number :||https://doi.org/10.1002/mana.200310129|
|Additional Information :||This is a pre-print of an article published in Mathematische Nachrichten, 263-264, 171 - 180. Click here for a link to the published article. Copyright © 2004 John Wiley & Sons, Ltd.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:42|
|Last Modified :||23 Sep 2013 18:33|
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