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math.AP2021
Global well-posedness for the generalized derivative nonlinear Schrödinger equation
Ben Pineau, Mitchell A. Taylor
We study the well-posedness of the generalized derivative nonlinear Schrödinger equation (gDNLS) for small powers . We analyze this equation at bot…
math.AP2021★ 1 cited
No pure capillary solitary waves exist in 2D finite depth
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions. This closes the existence/non-existence problem for solitary water waves in 2D, u…