A lower bound on the energy of travelling waves of fixed speed for the Gross-Pitaevskii equation

DOI10.1007/s00605-006-0443-3zbMath1127.35063OpenAlexW2085761451MaRDI QIDQ996078

Emilien Tarquini

Publication date: 11 September 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0443-3

zbMATH Keywords

existenceGross-Pitaevskii equationtravelling waveBose-Einstein condensate

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Rarefaction pulses for the nonlinear Schrödinger equation in the transonic limit, Travelling waves for the Gross-Pitaevskii equation. II, Non-existence for travelling waves with small energy for the Gross-Pitaevskii equation in dimension \(N \geqslant 3\)

Cites Work

• From Ginzburg-Landau to Gross-Pitaevskii
• A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
• Vortex rings for the Gross-Pitaevskii equation
• Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
• Decay for travelling waves in the Gross-Pitaevskii equation