---
_id: '1807'
abstract:
- lang: eng
  text: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii
    energy of two-components Bose-Einstein condensates. In the case of large but same
    order intercomponent and intracomponent coupling strengths, we prove Γ-convergence
    to a perimeter minimisation functional with an inhomogeneous surface tension.
    We study the asymptotic behavior of the surface tension as the ratio between the
    intercomponent and intracomponent coupling strengths becomes very small or very
    large and obtain good agreement with the physical literature. We obtain as a consequence,
    symmetry breaking of the minimisers for the harmonic potential.
author:
- first_name: Michael
  full_name: Goldman, Michael
  last_name: Goldman
- first_name: Jimena
  full_name: Royo-Letelier, Jimena
  id: 4D3BED28-F248-11E8-B48F-1D18A9856A87
  last_name: Royo-Letelier
citation:
  ama: Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein
    condensates. <i>ESAIM - Control, Optimisation and Calculus of Variations</i>.
    2015;21(3):603-624. doi:<a href="https://doi.org/10.1051/cocv/2014040">10.1051/cocv/2014040</a>
  apa: Goldman, M., &#38; Royo-Letelier, J. (2015). Sharp interface limit for two
    components Bose-Einstein condensates. <i>ESAIM - Control, Optimisation and Calculus
    of Variations</i>. EDP Sciences. <a href="https://doi.org/10.1051/cocv/2014040">https://doi.org/10.1051/cocv/2014040</a>
  chicago: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for
    Two Components Bose-Einstein Condensates.” <i>ESAIM - Control, Optimisation and
    Calculus of Variations</i>. EDP Sciences, 2015. <a href="https://doi.org/10.1051/cocv/2014040">https://doi.org/10.1051/cocv/2014040</a>.
  ieee: M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components
    Bose-Einstein condensates,” <i>ESAIM - Control, Optimisation and Calculus of Variations</i>,
    vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.
  ista: Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components
    Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations.
    21(3), 603–624.
  mla: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two
    Components Bose-Einstein Condensates.” <i>ESAIM - Control, Optimisation and Calculus
    of Variations</i>, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:<a href="https://doi.org/10.1051/cocv/2014040">10.1051/cocv/2014040</a>.
  short: M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus
    of Variations 21 (2015) 603–624.
date_created: 2018-12-11T11:54:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2021-01-12T06:53:20Z
day: '01'
department:
- _id: RoSe
doi: 10.1051/cocv/2014040
intvolume: '        21'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1401.1727
month: '05'
oa: 1
oa_version: Preprint
page: 603 - 624
publication: ESAIM - Control, Optimisation and Calculus of Variations
publication_status: published
publisher: EDP Sciences
publist_id: '5303'
quality_controlled: '1'
scopus_import: 1
status: public
title: Sharp interface limit for two components Bose-Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2015'
...