Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Zhan, Weicheng"'
We study the radial symmetry properties of stationary and uniformly rotating solutions of the 2D Euler equation in the unit disc, both in the smooth setting and the patch setting. In the patch setting, we prove that every uniformly rotating patch wit
Externí odkaz:
http://arxiv.org/abs/2412.05973
In this paper we present some classification results for the steady Euler equations in two-dimensional exterior domains with free boundaries. We prove that, in an exterior domain, if a steady Euler flow devoid of interior stagnation points adheres to
Externí odkaz:
http://arxiv.org/abs/2406.16134
Autor:
Wang, Yuchen, Zhan, Weicheng
We consider rigidity properties of steady Euler flows in two-dimensional bounded domains. We prove that steady Euler flows in a disk with exactly one interior stagnation point and tangential boundary conditions must be circular flows, which confirms
Externí odkaz:
http://arxiv.org/abs/2307.00197
Autor:
Wang, Yuchen, Zhan, Weicheng
We are concerned with rigidity properties of steady Euler flows in two-dimensional bounded annuli. We prove that in an annulus, a steady flow with no interior stagnation point and tangential boundary conditions is a circular flow, which addresses an
Externí odkaz:
http://arxiv.org/abs/2306.06671
Autor:
Wang, Yuchen, Zhan, Weicheng
We present a symmetry result regarding stationary solutions of the 2D Euler equations in a disk. We prove that in a disk, a steady flow with only one stagnation point and tangential boundary conditions is a circular flow, which confirms a conjecture
Externí odkaz:
http://arxiv.org/abs/2306.00302
In this paper, we are concerned with the uniqueness and nonlinear stability of vortex rings for the 3D Euler equation. By utilizing Arnold 's variational principle for steady states of Euler equations and concentrated compactness method introduced by
Externí odkaz:
http://arxiv.org/abs/2206.10165
In this paper, we prove the nonlinear orbital stability of vortex dipoles for the quasi-geostrophic shallow-water (QGSW) equations. The vortex dipoles are explicit travelling wave solutions to the QGSW equations, which are analogues of the classical
Externí odkaz:
http://arxiv.org/abs/2206.02174
Autor:
Zhan, Weicheng, Liu, Guangxiang, Lang, Leiming, Gao, Xu-Sheng, Zheng, Bo, Zhang, Jian, Luo, Guoqiang, Hu, Linfeng, Chen, Wenshu
Publikováno v:
In Journal of Electroanalytical Chemistry 15 October 2024 971
This paper is concerned with steady vortex rings in an ideal fluid of uniform density, which are special global axi-symmetric solutions of the three-dimensional incompressible Euler equation. We systematically establish the existence, uniqueness and
Externí odkaz:
http://arxiv.org/abs/2201.08232
We are concerned with the existence of periodic travelling-wave solutions for the generalized surface quasi-geostrophic (gSQG) equation(including incompressible Euler equation), known as von K\'arm\'an vortex street. These solutions are of $C^1$ type
Externí odkaz:
http://arxiv.org/abs/2104.14052