Equilibrium states of a variational formulation for the Ginzburg-Landau equation
نویسندگان
چکیده
منابع مشابه
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The Ginzburg-Landau equation ∂tu = ∂ 2 xu+u−|u|u on the real line has spatially periodic steady states of the the form Uη,β(x) = √ 1−η2 ei(ηx+β), with |η| ≤ 1 and β ∈ R. For η+, η−∈(− 1 3 , 1 √ 3 ), β+, β−∈R, we construct solutions which converge for all t > 0 to the limiting pattern Uη±,β± as x → ±∞. These solutions are stable with respect to sufficiently small H2 perturbations, and behave asy...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2017
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/937/1/012025