Ginzburg-landau equation and stable steady state solutions in a non-trivial domain
نویسندگان
چکیده
منابع مشابه
Existence of Steady Stable Solutions for the Ginzburg-landau Equation in a Domain with Nontrivial Topology
Let N ≥ 2 and Ω ⊂ RN be a bounded domain with boundary ∂Ω. Let Γ ⊂ ∂Ω be closed. Our purpose in this paper is to consider the existence of stable solutions u ∈ H1(Ω,C) of the Ginzburg-Landau equation ⎧⎨ ⎩ −∆u(x) = λ(w2 0(x)− |u| )u in Ω, u = g on ∂Ω\Γ, ∂u ∂ν = 0 on Γ where λ > 0, w0 ∈ C2(Ω,R+) and g ∈ C2(∂Ω\Γ) such that |g(x)| = w0(x) on ∂Ω\Γ.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 1995
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605309508821163