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math-ph2018
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…
math-ph2018
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…