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pro vyhledávání: '"Wan, Lizhe"'
Autor:
Wan, Lizhe
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
Externí odkaz:
http://arxiv.org/abs/2410.11762
Autor:
Wan, Lizhe
The study of gravity-capillary water waves in two space dimensions has been an important question in mathematical fluid dynamics. By implementing the cubic modified energy method of Ifrim-Tataru in the context of gravity-capillary waves, we show that
Externí odkaz:
http://arxiv.org/abs/2410.05201
Autor:
Rowan, James, Wan, Lizhe
We consider the two-dimensional capillary water waves with nonzero constant vorticity in infinite depth. We first derive the Babenko equation that describes the profile of the solitary wave. When the velocity $c$ is close to a critical velocity and a
Externí odkaz:
http://arxiv.org/abs/2408.03428
Autor:
Wan, Lizhe
We consider the two dimensional gravity water waves with nonzero constant vorticity in infinite depth. We show that for $s\geq \frac{3}{4}$, the water waves system is locally well-posed in $\mathcal{H}^{s}$, which is the nonzero constant vorticity co
Externí odkaz:
http://arxiv.org/abs/2312.09347
Autor:
Rowan, James, Wan, Lizhe
We consider the two dimensional pure gravity water waves with nonzero constant vorticity in infinite depth, working in the holomorphic coordinates introduced by Hunter, Ifrim, and Tataru. We show that close to the critical velocity corresponding to z
Externí odkaz:
http://arxiv.org/abs/2305.04483
Autor:
Wan, Lizhe
We consider the $L^2$ well-posedness of third order Benjamin-Ono equation. We show that by means of a normal form and a gauge transformation, the equation can be changed into an Airy-type equation. A second goal of this work is to establish that the
Externí odkaz:
http://arxiv.org/abs/2208.03594
This article is concerned with infinite depth gravity water waves with constant vorticity in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. We show that, for low-frequency solutions, th
Externí odkaz:
http://arxiv.org/abs/2108.08964
This article is concerned with infinite depth gravity water waves with constant vorticity in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. We show that, for low-frequency solutions, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b632251783d1b4ed745226dff929f4c
http://arxiv.org/abs/2108.08964
http://arxiv.org/abs/2108.08964