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Limit at infinity for travelling waves in the Gross-Pitaevskii equation.

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Publication:1871495
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DOI10.1016/S1631-073X(03)00007-4zbMath1145.35458MaRDI QIDQ1871495

Philippe Gravejat

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)



Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items (3)

Decay for travelling waves in the Gross-Pitaevskii equation ⋮ Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate ⋮ Travelling waves for the Gross-Pitaevskii equation. II



Cites Work

  • Unnamed Item
  • From Ginzburg-Landau to Gross-Pitaevskii
  • Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
  • Vortex rings for the Gross-Pitaevskii equation
  • Analyticity and decay properties of the solitary waves to the Benney-Luke equation.
  • Decay for travelling waves in the Gross-Pitaevskii equation
  • Travelling waves for the Gross-Pitaevskii equation. II
  • On multipliers of Fourier integrals in the spaces \(L_{p,\theta}\)


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