18 citations · 61 across the 10 of their papers we have counts for
11 papers
Cauchy's invariants revisited. An alternative variational proof
Gerassimos A. Athanassoulis, Anastasia Sachinidou
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…
A systematic path to non-Markovian dynamics II: Probabilistic response of nonlinear multidimensional systems to Gaussian colored noise excitation
Gerassimos A. Athanassoulis, Nikolaos P. Nikoletatos-Kekatos, Konstantinos Mamis
The probabilistic characterization of non-Markovian responses to nonlinear dynamical systems under colored excitation is an important issue, arising in many applications. Extending…
Hamiltonian variational formulation of three-dimensional, rotational free-surface flows, with a moving seabed, in the Eulerian description
C. P. Mavroeidis, G. A. Athanassoulis
Hamiltonian variational principles provided, since 60s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotational…
A systematic path to non-Markovian dynamics: New response pdf evolution equations under Gaussian coloured noise excitation
K. I. Mamis, G. A. Athanassoulis, Z. G. Kapelonis
Determining evolution equations governing the probability density function (pdf) of non-Markovian responses to random differential equations (RDEs) excited by coloured noise, is an…
Extensions of the Novikov-Furutsu theorem, obtained by using Volterra functional calculus
Gerassimos A. Athanassoulis, Konstantinos I. Mamis
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 ra…
Strong solutions for the Alber equation and stability of unidirectional wave spectra
Agissilaos G. Athanassoulis, Gerassimos A. Athanassoulis, Mariya Ptashnyk +1
The Alber equation is a moment equation for the nonlinear Schrödinger equation, formally used in ocean engineering to investigate the stability of stationary and homogeneous sea st…
Semi-explicit solutions to the water-wave dispersion relation and their role in the nonlinear Hamiltonian coupled-mode theory
Theodosios K. Papathanasiou, Christos E. Papoutsellis, Gerassimos A. Athanassoulis
The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and Papoutsellis [1], provides an efficient new approach for solving fully nonlinear water-wave proble…
Implementation of a fully nonlinear Hamiltonian Coupled-Mode Theory, and application to solitary wave problems over bathymetry
Ch. E. Papoutsellis, A. G. Charalampopoulos, G. A. Athanassoulis
This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water…
A new efficient Hamiltonian approach to the nonlinear water-wave problem over arbitrary bathymetry
Christos Papoutsellis, Gerassimos Athanassoulis
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, i…
Exact semi-separation of variables in waveguides with nonplanar boundaries
Gerassimos A. Athanassoulis, Christos E. Papoutsellis
Series expansions of unknown fields in elongated waveguides are commonly used in acoustics, optics, geophysics, water waves and other applications, in the context o…
Two-time, response-excitation moment equations for a cubic half-oscillator under Gaussian and cubic-Gaussian colored excitation. Part 1: The monostable case
Gerassimos A. Athanassoulis, Ivi C. Tsantili, Zacharias G. Kapelonis
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, Gaus…