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A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity.

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Publication:601624
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zbMath1212.35376MaRDI QIDQ601624

Didier Smets, Fabrice Bethuel

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Gross-Pitaevskii equationinfinite Ginzburg-Landau energy


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)


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On the stability of the Ginzburg–Landau vortex, Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations, A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators, Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing, On the NLS dynamics for infinite energy vortex configurations on the plane, Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices, On the linear wave regime of the Gross-Pitaevskii equation



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