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math.AP2023
Modulation instability and convergence of the random phase approximation for stochastic sea states
Agissilaos G. Athanassoulis, Irene Kyza
The nonlinear Schrödinger 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 co…
math.AP2014★ 1 cited
Regularized semiclassical limits: linear flows with infinite Lyapunov exponents
Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza
Semiclassical asymptotics for linear Schrödinger equations with non-smooth potentials give rise to ill-posed formal semiclassical limits. These problems have attracted a lot of att…