Modulation Equation for Stochastic Swift--Hohenberg Equation
نویسندگان
چکیده
منابع مشابه
Modulation Equation for Stochastic Swift-Hohenberg Equation
The purpose of this paper is to study the influence of large or unbounded domains on a stochastic PDE near a change of stability, where a band of dominant pattern is changing stability. This leads to a slow modulation of the dominant pattern. Here we consider the stochastic Swift-Hohenberg equation and derive rigorously the Ginzburg-Landau equation as a modulation equation for the amplitudes of...
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We review recent results on the approximation of stochastic PDEs by amplitude equations. As an example we focus on the Swift-Hohenberg equation.
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2013
ISSN: 0036-1410,1095-7154
DOI: 10.1137/110846336