TY - JOUR

T1 - A quantization property for static Ginzburg-Landau vortices

AU - Fang-Hua, Lin

AU - Rivière, Tristan

PY - 2001/2/1

Y1 - 2001/2/1

N2 - For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1/ε; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r/ε, then the ball of half-radius contains no vortex (the modulus of the solution is larger than 1/2). We then show how this property can be applied to describe limiting vortices as ε → 0.

AB - For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1/ε; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r/ε, then the ball of half-radius contains no vortex (the modulus of the solution is larger than 1/2). We then show how this property can be applied to describe limiting vortices as ε → 0.

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U2 - 10.1002/1097-0312(200102)54:2<206::AID-CPA3>3.0.CO;2-W

DO - 10.1002/1097-0312(200102)54:2<206::AID-CPA3>3.0.CO;2-W

M3 - Article

AN - SCOPUS:18044401803

VL - 54

SP - 206

EP - 228

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 2

ER -