Sharp thresholds of two-components Bose-Einstein condensates

DOI10.1016/j.camwa.2009.07.022zbMath1189.82074OpenAlexW2069708361MaRDI QIDQ979881

Lü Zhongxue, Liu Zuhan

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.022

zbMATH Keywords

potentialglobal existenceBose-Einstein condensatesnonlinear Schrödinger equationssharp thresholds

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELD, Sharp thresholds of two-components attractive Bose-Einstein condensates with an external driving field, \(L^{2}\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential, Necessary conditions and sufficient conditions for global existence for two-components nonlinear Schrödinger equations in the super critical case

Cites Work

• Unnamed Item
• Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations
• Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
• Spikes in two coupled nonlinear Schrödinger equations
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Ground States and Dynamics of Multicomponent Bose--Einstein Condensates
• Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system