A quantization property for static Ginzburg-Landau vortices. (Q2710679): Difference between revisions

The authors consider critical points of the three dimensional complex Ginzburg-Landau functional for large coupling constant of order \(\varepsilon^{-1}\). It is shown that if the energy of this critical point on a ball of radius \(r\) is relatively small compared to \(r\log(r/\varepsilon)\), then the ball of half-radius contains no vortex.

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Identifiers

zbMATH Open document ID

1033.58013

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DOI

https://doi.org/10.1002/1097-0312(200102)54:2%3C206::aid-cpa3%3E3.0.co;2-w

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2710679

@@ label / en / label / en @@
+A quantization property for static Ginzburg-Landau vortices.
@@ Property / DOI / Property / DOI @@
-.1002/1097-0312(200102)54:2<206::AID-CPA3>3.0.CO;2-W
+https://doi.org/10.1002/1097-0312(200102)54:2%3C206::aid-cpa3%3E3.0.co;2-w
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+Q5640160
@@ Property / cites work: Q5640160 / rank @@
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+W2070660812
@@ Property / OpenAlex ID: W2070660812 / rank @@
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@@ Property / title @@
+A quantization property for static Ginzburg-Landau vortices. (English)
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+Communications on Pure and Applied Mathematics
@@ Property / published in: Communications on Pure and Applied Mathematics / rank @@
+Normal rank
@@ Property / review text @@
+The authors consider critical points of the three dimensional complex Ginzburg-Landau functional for large coupling constant of order \(\varepsilon^{-1}\). It is shown that if the energy of this critical point on a ball of radius \(r\) is relatively small compared to \(r\log(r/\varepsilon)\), then the ball of half-radius contains no vortex.
+Normal rank