Non-existence for travelling waves with small energy for the Gross-Pitaevskii equation in dimension \(N \geqslant 3\)

DOI10.1016/J.CRMA.2009.02.006zbMath1165.35047OpenAlexW2022062860MaRDI QIDQ1012388

André De Laire

Publication date: 16 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.crma.2009.02.006

zbMATH Keywords

travelling wavesGross-Pitaevskii equationGinzburg-Landau energy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Solutions to PDEs in closed form (35C05)

Related Items (5)

From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data ⋮ Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation ⋮ Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity ⋮ Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity ⋮ Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity

Cites Work

• A lower bound on the energy of travelling waves of fixed speed for the Gross-Pitaevskii equation
• From Ginzburg-Landau to Gross-Pitaevskii
• A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
• Travelling waves for the Gross-Pitaevskii equation. II
• Unnamed Item

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