4 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
A pseudo-local property of gravity water waves system
Quang-Huy Nguyen
By proving a weighted contraction estimate in uniformly local Sobolev spaces for the flow of gravity water waves, we show that this nonlocal system is in fact pseudo-local in the f…
Hadamard well-posedness of the gravity water waves system
Quang-Huy Nguyen
We consider in this article the system of (pure) gravity water waves in any dimension and in fluid domains with general bottoms. The unique solvability of the problem was establish…