The paper “*A rigorous justification of the modulation approximation to the 2D full water wave problem*“, co-authored by Nathan Totz and **Sijue Wu**, has been published in Communications in Mathematical Physics. The paper studies the 2D irrotational gravity wave problem, and proves error estimates for focusing NLS in Sobolev spaces. As a consequence, existence of solutions of the water wave problem is proved in Sobolev spaces for times of order eps^{-2}. The results are obtained directly by applying modulational analysis, normal form transformations, and the energy method. The paper can be found here.

### Like this:

Like Loading...

*Related*