The Time Dependent Amplitude Equation for the Swift-hohenberg Problem
نویسنده
چکیده
Precise estimates for the validity of the amplitude approximation for the Swift-Hohenberg equation are given, in a fully time dependent framework. It is shown that small solutions of order O() which are modulated like stationary solutions have an evolution which is well described in the amplitude approximation for a time of order O(?2). For the proofs, we use techniques for nonlinear semigroups and oscillatory integrals.-2
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تاریخ انتشار 1990