Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Athanassoulis, Gerassimos A."'
The purpose of this paper is two-fold. First, to provide a straightforward proof of the Cauchy's invariants (CIs) from the particle relabeling symmetry of the action functional for rotational barotropic flows, using pure geometric relabeling. Second,
Externí odkaz:
http://arxiv.org/abs/2407.19058
The probabilistic characterization of non-Markovian responses to nonlinear dynamical systems under colored excitation is an important issue, arising in many applications. Extending the Fokker-Planck-Kolmogorov equation, governing the first-order resp
Externí odkaz:
http://arxiv.org/abs/2405.10236
Autor:
Athanassoulis, Gerassimos A., Mavroeidis, Constantinos P., Koutsogiannakis, Panagiotis E., Papoutsellis, Christos E.
Publikováno v:
Journal of Ocean Engineering and Marine Energy, Vol. 5, No. 4, 2019
The propagation and transformation of water waves over varying bathymetries is a subject of fundamental interest to ocean, coastal and harbor engineers. The specific bathymetry considered in this paper consists of one or two, naturally formed or man-
Externí odkaz:
http://arxiv.org/abs/1907.11085
Publikováno v:
Physica Scripta, Vol. 94, 115217, 2019
Novikov-Furutsu (NF) theorem is a well-known mathematical tool, used in stochastic dynamics for correlation splitting, that is, for evaluating the mean value of the product of a random functional with a Gaussian argument multiplied by the argument it
Externí odkaz:
http://arxiv.org/abs/1811.06579
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
The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and Papoutsellis [1], provides an efficient new approach for solving fully nonlinear water-wave problems over arbitrary bathymetry. In HCMT, heavy use is made of the roots
Externí odkaz:
http://arxiv.org/abs/1802.07963
A new Hamiltonian formulation for the fully nonlinear water-wave problem over variable bathymetry is derived, using an exact, vertical series expansion of the velocity potential, in conjunction with Luke's variational principle. The obtained Euler-La
Externí odkaz:
http://arxiv.org/abs/1704.03276
Series expansions of unknown fields $\Phi=\sum\varphi_n Z_n$ in elongated waveguides are commonly used in acoustics, optics, geophysics, water waves and other applications, in the context of coupled-mode theories (CMTs). The transverse functions $Z_n
Externí odkaz:
http://arxiv.org/abs/1702.04777
In this paper a new method is presented for the formulation and solution of two-time, response-excitation moment equations for a nonlinear dynamical system excited by colored, Gaussian or non-Gaussian processes. Starting from equations for the two-ti
Externí odkaz:
http://arxiv.org/abs/1304.2195
Publikováno v:
In Procedia Computer Science 2015 66:210-219
