We study long time dynamics of nonradial solutions to the focusing inhomogeneous
nonlinear Schrödinger equation. By using the concentration/compactness and rigidity …

Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly
expanding range of mathematical and computational applications due to the ability of such …

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There is considerable interest in nanostructured materials with interdigitated electrodes
(IDEs) platforms to detect and monitor the level of various ions in numerous applications …

We study the focusing NLS equation in RN in the mass-supercritical and energy-subcritical
(or intercritical) regime, with H1 data at the mass-energy threshold ME. u0/D ME. Q/, where …

We consider the Cauchy problem for focusing nonlinear Schrödinger equation i∂< sub> t
u+ Δu=−| u|< sup> α u,(t, x)∈ R× R< sup> N, where N≥ 1, α &gt; 4N and α &lt; 4/N− 2 if N≥ …

We study the dynamics of the focusing 3d cubic nonlinear Schrödinger equation in the
exterior of a strictly convex obstacle at the mass-energy threshold, namely, when E Ω [u 0] M …

This paper studies the asymptotic behavior of global solutions to the generalized Hartree
equation iu ̇+ Δ u+(I α∗|⋅| b| u| p)| x| b| u| p− 2 u= 0. i ̇ u+ Δ u+ (I_ α*| ⋅|^ b| u|^ p)| x|^ b …

We study the focusing stochastic nonlinear Schrödinger equation in one spatial dimension
with multiplicative noise, driven by a Wiener process white in time and colored in space, in …

We consider a Gross-Pitaevskii equation which appears as a model in the description of
dipolar Bose-Einstein condensates, without a confining external trapping potential. We …