Results 41 to 50 of about 860 (84)
Numerical Mathematics: Theory, Methods and Applications, 2019 A numerical method is proposed to approach the Approximate Inertial Manifolds (AIMs) in unsteady incompressible Navier-Stokes equations, using multilevel finite element method with hierarchical basis functions.
M. Aslam
semanticscholar +1 more source
"Thermodynamique cach\'ee des particules" and the quantum potential [PDF]
, 2012 According to de Broglie, temperature plays a basic role in quantum Hamilton-Jacobi theory. Here we show that a possible dependence on the temperature of the integration constants of the relativistic quantum Hamilton-Jacobi may lead to corrections to the ...
Matone, Marco
core +1 more source
Dispersive estimate for the Schroedinger equation with point interactions
, 2005 We consider the Schroedinger operator in R^3 with N point interactions placed at Y=(y_1, ... ,y_N), y_j in R^3, of strength a=(a_1, ... ,a_N). Exploiting the spectral theorem and the rather explicit expression for the resolvent we prove a (weighted ...
Albeverio +6 more
core +3 more sources
Centre-of-mass motion in multi-particle Schrödinger–Newton dynamics
New Journal of Physics, 2014 We investigate the implication of the nonlinear and non-local multi-particle Schrödinger–Newton equation for the motion of the mass centre of an extended multi-particle object, giving self-contained and comprehensible derivations.
Domenico Giulini, André Großardt
doaj +1 more source
Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
doaj +1 more source
Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
core +1 more source
Nonlocal perturbations of the fractional Choquard equation
Advances in Nonlinear Analysis, 2017 We study the ...
Singh Gurpreet
doaj +1 more source
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
doaj +1 more source
Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities
Advances in Nonlinear AnalysisIn this article, we study the following quasilinear equation with nonlocal nonlinearity −Δu−κuΔ(u2)+λu=(∣x∣−μ*F(u))f(u),inRN,-\Delta u-\kappa u\Delta \left({u}^{2})+\lambda u=\left({| x| }^{-\mu }* F\left(u))f\left(u),\hspace{1em}\hspace{0.1em}\text{in ...
Jia Yue, Yang Xianyong
doaj +1 more source
Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities
, 2011 We prove some Hardy-Dirac inequalities with two different weights including measure valued and Coulombic ones. Those inequalities are used to construct distinguished self-adjoint extensions of Dirac operators for a class of diagonal potentials related to
Arai M. +3 more
core +1 more source