41 citations · 350 across the 36 of their papers we have counts for
Showing 2016 · math.APShow all
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math.AP2016★ 11 cited
On the Global Stability of a Beta-Plane Equation
Fabio Pusateri, Klaus Widmayer
We study the motion of an incompressible, inviscid two-dimensional fluid in a rotating frame of reference. There the fluid experiences a Coriolis force, which we assume to be linea…
math.AP2016★ 9 cited
Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
Jason Murphy, Fabio Pusateri
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We show that initial data of size in a weighted Sobolev space lead to so…
math.AP2016★ 12 cited
Global solutions of the gravity-capillary water-wave system in three dimensions
Y. Deng, A. D. Ionescu, B. Pausader +1
In this paper we prove global regularity for the full water waves system in 3 dimensions for small data, under the influence of both gravity and surface tension. This problem prese…