Pattern selection in a slowly varying environment

Pattern selection in a slowly varying environment
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缓慢变化环境中的模式选择

DOI:
10.1051/jphyslet:01983004404013500
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发表时间:
1983
期刊:
Journal De Physique Lettres
影响因子:
--
通讯作者:
S. Zaleski
S. Zaleski
中科院分区:
--
文献类型:
--
作者:
Y. Pomeau;S. Zaleski

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2014通常,在超临界条件下,稳定的细胞结构(如泰勒-库埃特实验中的卷)可以在有限带中具有任意波数,以获得无限模式。如果外部条件变化缓慢,则波长变为局部控制参数的函数。如果一个亚临界区域光滑连接到一个超临界区域,在超临界区域的稳定辊的波长是唯一定义的,指数小的条款。
2014 Usually, in supercritical conditions, steady cellular structures (as rolls in Taylor-Couette experiments) may have any wavenumber in a finite band for an unbounded pattern. If the external conditions change slowly, the wavelength becomes a function of the local control parameter. If a subcritical region is smoothly connected to a supercritical one, the wavelength of steady rolls in the supercritical region is uniquely defined, up to exponentially small terms.