TY - JOUR
T1 - A quantization property for static Ginzburg-Landau vortices
AU - Fang-Hua, Lin
AU - Rivière, Tristan
PY - 2001/2
Y1 - 2001/2
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
SN - 0010-3640
VL - 54
SP - 206
EP - 228
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 2
ER -