Hydrodynamic Limit of the Gross-Pitaevskii Equation

DOI10.1080/03605302.2014.963604zbMath1314.35164arXiv1310.4558OpenAlexW2083017538MaRDI QIDQ5246643

Daniel P. Spirn, Robert Leon Jerrard

Publication date: 21 April 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4558

zbMATH Keywords

Euler equationsvorticespoint vortex methodGross-Pitaevskii

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Euler equations (35Q31) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

Well-posedness for mean-field evolutions arising in superconductivity ⋮ Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities ⋮ Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing ⋮ Mean field limits for Ginzburg-Landau vortices ⋮ Vortex dynamics for 2D Euler flows with unbounded vorticity

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