Desingularization of Vortices for the Euler Equation
نویسندگان
چکیده
منابع مشابه
Regularization of Point Vortices for the Euler Equation in Dimension Two
Abstract. In this paper, we construct stationary classical solutions of the incompressible Euler equation approximating singular stationary solutions of this equation. This procedure is carried out by constructing solutions to the following elliptic problem { −ε2∆u = (u− q − κ 2π ln 1ε )p+, x ∈ Ω, u = 0, x ∈ ∂Ω, where p > 1, Ω ⊂ R is a bounded domain, q is a harmonic function. We showed that if...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2010
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-010-0293-y