On a linear equation arising in the study of phase separation of Bose-Einstein condensates

2025/06/05 by Sourdis, Christos
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.05299

Abstract

We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip with zero and periodic boundary conditions, and obtain optimal invertibility estimates for the Fourier modes without necessarily assuming orthogonality conditions.

Citations

• Phase separating solutions for two component systems in general planar domains
• Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter
• Maximal solution of the Liouville equation in doubly connected domains
• Interface layer of a two-component Bose-Einstein condensate
• On Phase-Separation Models: Asymptotics and Qualitative Properties
• On Entire Solutions of an Elliptic System Modeling Phase Separations
• Regularity of the nodal set of segregated critical configurations under\n a weak reflection law
• Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition
• Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition

Related

• On the solvability of a linear inhomogeneous problem arising in the blow-up analysis of the phase separation in Bose-Einstein condensates
• Phase separating solutions for two component systems in general planar domains
• Interface layer of a two-component Bose-Einstein condensate
• Phase segregation for binary mixtures of Bose-Einstein Condensates
• On Entire Solutions of an Elliptic System Modeling Phase Separations