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math.AP2023
Asymptotics for small data solutions of the Ablowitz-Ladik equation
Gavin Stewart
We study the asymptotics for the Ablowitz-Ladik equation. By taking appropriate continuum limits, it can be shown that the behavior of the equation near degenerate frequencies is w…
math.AP2022★ 1 cited
On the wellposedness for periodic nonlinear Schrödinger equations with white noise dispersion
Gavin Stewart
We consider a periodic nonlinear Schrödinger equation with white noise dispersion and a power nonlinearity given by \begin{equation*} idu = Δu \circ dW_t + |u|^{p-1}u\;dt \end{equa…
math.AP2021★ 2 cited
Long time decay and asymptotics for the complex mKdV equation
Gavin Stewart
We study the asymptotics of the complex modified Korteweg-de Vries equation , which can be used to model vortex filament dynami…