On a model of rotating superfluids (Q2701826)

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On a model of rotating superfluids
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    On a model of rotating superfluids (English)
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    1 March 2001
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    vortices
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    Gross-Pitaevskij equation
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    energy functional
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    rotating superfluids
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    The author considers an energy functional which describes rotating superfluids at a rotating velocity \(\omega\). Results similar to those for the Ginzburg-Landau functional of superconductivity are derived. Precisely, it is proved existence of branches of solutions with vortices and existence of a critical value of \(\omega\) above which the energy-minimizers have vortices. An evaluation of the minimal energy as a function of \(\omega\) is also provided.
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