Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Athanassoulis, Agissilaos"'
We consider a non-conservative nonlinear Schrodinger equation (NCNLS) with time-dependent coefficients, inspired by a water waves problem. This problem does not have mass or energy conservation, but instead mass and energy change in time under explic
Externí odkaz:
http://arxiv.org/abs/2401.16835
The nonlinear Schr\"odinger equation is widely used as an approximate model for the evolution in time of the water wave envelope. In the context of simulating ocean waves, initial conditions are typically generated from a measured power spectrum usin
Externí odkaz:
http://arxiv.org/abs/2303.13942
The Alber equation is a phase-averaged second-moment model for the statistics of a sea state, which recently has been attracting renewed attention. We extend it in two ways: firstly, we derive a generalized Alber system starting from a system of nonl
Externí odkaz:
http://arxiv.org/abs/2105.00102
We introduce a new structure preserving, second order in time relaxation-type scheme for approximating solutions of the Schr\"odinger-Poisson system. More specifically, we use the Crank-Nicolson scheme as a time stepping mechanism, whilst the nonline
Externí odkaz:
http://arxiv.org/abs/2103.04903
Publikováno v:
In Journal of Computational Physics 1 October 2023 490
Autor:
Athanassoulis, Agissilaos1 (AUTHOR), Katsaounis, Theodoros2,3 (AUTHOR) thodoros.katsaounis@uoc.gr, Kyza, Irene4 (AUTHOR)
Publikováno v:
Studies in Applied Mathematics. Oct2024, p1. 22p. 2 Illustrations.
Autor:
Athanassoulis, Agissilaos G., Athanassoulis, Gerassimos A., Ptashnyk, Mariya, Sapsis, Themistoklis
The Alber equation is a moment equation for the nonlinear Schr\"odinger equation, formally used in ocean engineering to investigate the stability of stationary and homogeneous sea states in terms of their power spectra. In this work we present the fi
Externí odkaz:
http://arxiv.org/abs/1808.05191
Autor:
Athanassoulis, Agissilaos
Publikováno v:
Nonlinearity (2017)
We consider the semiclassical limit of nonlinear Schr\"odinger equations with wavepacket initial data. We recover the Wigner measure of the problem, a macroscopic phase-space density which controls the propagation of the physical observables such as
Externí odkaz:
http://arxiv.org/abs/1505.04707
We study a nonlinear Schr\"odinger equation which arises as an effective single particle model in X-ray Free Electron Lasers (XFEL). This equation appears as a first-principles model for the beam-matter interactions that would take place in an XFEL m
Externí odkaz:
http://arxiv.org/abs/1406.4272
Semiclassical asymptotics for linear Schr\"odinger equations with non-smooth potentials give rise to ill-posed formal semiclassical limits. These problems have attracted a lot of attention in the last few years, as a proxy for the treatment of eigenv
Externí odkaz:
http://arxiv.org/abs/1403.7935