On the capillary water waves with constant vorticity

2024/10/15 by Wan, Lizhe
#35Q31 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.11762

Abstract

This article is devoted to the study of local well-posedness for deep water waves with constant vorticity in two space dimensions on the real line. The water waves can be paralinearized and written as a quasilinear dispersive system of equations. By using the energy estimate and the Strichartz estimate, we show that for s> (5)/(4), the gravity-capillary water wave system with constant vorticity is locally well-posed in H^s(ℝ).

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