Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates

By Shu-Ming Chang, Changshou Lin, Tai-Chia Lin, Wen-Wei Lin. 2004

211 citations recorded by the source corpus.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c30271e4ed70a567ff7317e3f5a5be055e39b95e

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In Applied Mathematics

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

On Phase-Separation Models: Asymptotics and Qualitative Properties (2013, background): “Effective numerical simulations for (1.8) and (1.9) can be found in [4], [5] and [17].”
Multipulse Phases in k-Mixtures of Bose–Einstein Condensates (2008, methodology): “This phenomenon, called “phase separation”, has been studied, starting from [4, 5], in the case of μi > 0 and in [3] in the case μi < 0, for least energy solutions in non necessarily symmetric bounded domains.”
SIGN-CHANGING SOLUTIONS OF COMPETITION-DIFFUSION ELLIPTIC SYSTEMS AND OPTIMAL PARTITION PROBLEMS (2011, background): “Some preliminary results were also proved by Chang, Lin, Lin and Lin [7] (which, as far as we know, is the first paper to establish a connection between (2) and (4) for ki = 1) and by Conti, Terracini and Verzini [9], while Helffer, Hoffmann-Ostenhof and Terracini [15] have proved that, in dimension”
Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2013, background): “These phenomena have been documented in experiments as well as in numeric simulations (for example, [7,19,23] and references therein).”
Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case (2014, background): “First of all, there exists C̄ > 0 such that Ji,n(r) ≥ C̄ for every r ∈ [2, 10] and i = 1, 2.”
Uniqueness (2021, unknown): “These systems appear as a model in the physical phenomenon of Bose-Einstein condensation or in nonlinear optics (see for instance [26, 75, 80] and references therein for an easy-to-follow physical description).”
Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations (2008, background): “[9] proved that u and v solve scalar limit equations in Nu and Nv under the crucial assumption that Nu, Nv are open in .”
The geometry of solutions to a segregation problem for nondivergence systems (2009, background): “ational solutions approach and optimal partition problems [CL2][ CLLL ] and [CL1].”