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math.AP2016★ 1 cited
Finite depth gravity water waves in holomorphic coordinates
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
In this article we consider irrotational gravity water waves with finite bottom. Our goal is two-fold. First, we represent the equations in holomorphic coordinates and discuss the…
math.AP2016★ 79 cited
Conserved energies for the cubic NLS in 1-d
Herbert Koch, Daniel Tataru
We consider the cubic Nonlinear Schrödinger Equation (NLS) as well as the modified Korteweg-de Vries (mKdV) equation in one space dimension. We prove that for each the…