Smooth branch of travelling waves for the Gross-Pitaevskii equation in R2 for small speed

DOI10.2422/2036-2145.201906_015zbMath1484.35110arXiv1911.03433OpenAlexW3128360644MaRDI QIDQ5037199

Eliot Pacherie, David Chiron

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03433

zbMATH Keywords

implicit function type argument

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Perturbations in context of PDEs (35B20) Traveling wave solutions (35C07) Ginzburg-Landau equations (35Q56)

Related Items (9)

A uniqueness result for travelling waves in the Gross-Pitaevskii equation ⋮ Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d ⋮ On the stability of the Ginzburg–Landau vortex ⋮ A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation ⋮ Coercivity for travelling waves in the Gross-Pitaevskii equation in \(\mathbb{R}^2\) for small speed ⋮ Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation ⋮ Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation ⋮ Finite energy traveling waves for the Gross-Pitaevskii equation in the subsonic regime

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