Scattering for a particle interacting with a Bose gas

DOI10.1080/03605302.2020.1774896zbMath1462.35359arXiv1902.03012OpenAlexW3036049283MaRDI QIDQ4966064

Tristan Léger

Publication date: 18 March 2021

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

Full work available at URL: https://arxiv.org/abs/1902.03012

zbMATH Keywords

scatteringBose gasGross-Pitaevskiiparticle-field interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General aerodynamics and subsonic flows (76G25) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of gases (82D05) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Emission of Cherenkov radiation as a mechanism for Hamiltonian friction
• Bilinear dispersive estimates via space time resonances, dimensions two and three
• Scattering for the Gross-Pitaevskii equation
• Scattering of solitons for the Schrödinger equation coupled to a particle
• Finite energy scattering for the Lorentz-Maxwell equation
• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Time dependent resonance theory
• Friction in a model of Hamiltonian dynamics
• Decay estimates for a class of wave equations
• Ballistic motion of a tracer particle coupled to a Bose gas
• A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
• Some Hamiltonian models of friction
• Some Hamiltonian models of friction II
• SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
• Global Solutions for 3D Quadratic Schrodinger Equations
• Stabilization of solutions to nonlinear Schrödinger equations
• Hamiltonian Dynamics of a Particle Interacting with a Wave Field

This page was built for publication: Scattering for a particle interacting with a Bose gas