2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Random Triangles and Polygons in the Plane
Jason Cantarella, Tom Needham, Clayton Shonkwiler +1
We consider the problem of finding the probability that a random triangle is obtuse, which was first raised by Lewis Caroll. Our investigation leads us to a natural correspondence…