2 papers
math.AP2015
A paradifferential reduction for the gravity-capillary waves system at low regularity and applications
Thibault De Poyferré, Quang-Huy Nguyen
We consider in this article the system of gravity-capillary waves in all dimensions and under the Zakharov/Craig-Sulem formulation. Using a paradifferential approach introduced by…
math.AP2015
Strichartz estimates and local existence for the capillary water waves with non-Lipschitz initial velocity
Thibault de Poyferre, Quang Huy Nguyen
We consider the gravity-capillary waves in any dimension and in fluid domains with general bottoms. Using the paradiferential reduction established in the companion paper, we prove…