Results 71 to 80 of about 1,785 (116)
Advanced Nonlinear Studies, 2021 We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ2{\mathbb{R}^{2}}, where the intra-component interactions μi{\mu_{i}} and the inter-component interactions βij=βji{\beta_{ij}=\beta_{ji}
Kong Yuzhen, Wang Qingxuan, Zhao Dun
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A note on coupled nonlinear Schrödinger equations
Advances in Nonlinear Analysis, 2014 We investigate the initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-global
Saanouni Tarek
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Concentration of blow-up solutions for the Gross-Pitaveskii equation
Advances in Nonlinear AnalysisWe consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
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Scattering threshold for the focusing energy-critical generalized Hartree equation
Open MathematicsThis work investigates the asymptotic behavior of energy solutions to the focusing nonlinear Schrödinger equation of Choquard type i∂tu+Δu+∣u∣p−2(Iα*∣u∣p)u=0,p=1+2+αN−2,N≥3.i{\partial }_{t}u+\Delta u+{| u| }^{p-2}\left({I}_{\alpha }* {| u| }^{p})u=0 ...
Almuthaybiri Saleh +2 more
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Ground-State Energy of a Dilute Fermi Gas
, 2005 Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials.
Lieb, Elliott H. +2 more
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Dispersive estimates and NLS on product manifolds
, 2010 We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
core
Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
Advances in Nonlinear AnalysisIn this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane. [PDF]
J Nonlinear Sci, 2022 de la Hoz F, Kumar S, Vega L.
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