4 citations · 6 across the 9 of their papers we have counts for
4 papers · 1 filter
Local well-posedness of the skew mean curvature flow for large data
Jiaxi Huang, Daniel Tataru
The skew mean curvature flow is an evolution equation for dimensional ma\-nifolds embedded in (or more generally, in a Riemannian manifold). It can be viewed…
Large data global well-posedness for the modified Novikov-Veselov system
Adrian Nachman, Peter Perry, Daniel Tataru
The modified Novikov-Veselov system (mNV) is a cubic third order dispersive evolution in two space dimensions. It is also completely integrable, belonging to the same hierarchy as…
Wave packet decompositions and sharp bilinear estimates for rough Hamiltonian flows
Robert Schippa, Daniel Tataru
The goal of this paper is to prove bilinear estimates for rough dispersive evolutions satisfying non-degeneracy and transversality assumptions. The estimates generalize the s…
Global solutions for cubic quasilinear ultrahyperbolic Schrödinger flows
Mihaela Ifrim, Ben Pineau, Daniel Tataru
In recent work, two of the authors proposed a broad global well-posedness conjecture for cubic quasilinear dispersive equations in two space dimensions, which asserts that global w…