Interface layer of a two-component Bose–Einstein condensate
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Publication:5354377
DOI10.1142/S0219199716500528zbMath1372.34090arXiv1509.08328MaRDI QIDQ5354377
Christos Sourdis, Amandine Aftalion
Publication date: 1 September 2017
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08328
Nonlinear boundary value problems for ordinary differential equations (34B15) Quantum equilibrium statistical mechanics (general) (82B10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)
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Cites Work
- Unnamed Item
- The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit
- On the heteroclinic connection problem for multi-well gradient systems
- On entire solutions of an elliptic system modeling phase separations
- Multiple time scale dynamics
- A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence
- Uniform bounds for strongly competing systems: the optimal Lipschitz case
- On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects
- Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations
- Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species
- Regularity of the nodal set of segregated critical configurations under a weak reflection law
- Singularities of the nodal set of segregated configurations
- Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities
- The Toda system and multiple-end solutions of autonomous planar elliptic problems
- On a class of optimal partition problems related to the Fučík spectrum and to the monotonicity formulae
- A qualitative study of the real solutions of an ordinary differential equation related to the Ginzburg-Landau equation
- Introduction to spectral theory. With applications to Schrödinger operators
- On phase-separation models: asymptotics and qualitative properties
- Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation
- Domain walls in the coupled Gross-Pitaevskii equations
- A two end family of solutions for the inhomogeneous Allen-Cahn equation in \(\mathbb R^2\)
- Some symmetry results for entire solutions of an elliptic system arising in phase separation
- AN INTRODUCTION TO THE FINITE AND INFINITE DIMENSIONAL REDUCTION METHODS
- Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
- On the connection problem for potentials with several global minima
- Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
- Orbits homoclinic to centre manifolds of conservative PDEs
- Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire
- A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential
- Sharp interface limit for two components Bose−Einstein condensates
- Phase Segregation for Binary Mixtures of Bose--Einstein Condensates
- VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES
- Asymptotic behaviour of solutions of planar elliptic systems with strong competition
