18 citations · 61 across the 10 of their papers we have counts for
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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…