Zobrazeno 1 - 10
of 126
pro vyhledávání: '"qin, Guolin"'
Autor:
Qin, Guolin, Wan, Jie
In this paper, we consider the existence of concentrated helical vortices of 3D incompressible Euler equations with swirl. First, without the assumption of the orthogonality condition, we derive a 2D vorticity-stream formulation of 3D incompressible
Externí odkaz:
http://arxiv.org/abs/2412.10725
Helical Kelvin waves were conjectured to exist for the 3D Euler equations in Lucas and Dritschel \cite{LucDri} (as well as in \cite{Chu}) by studying dispersion relation for infinitesimal linear perturbations of a circular helically symmetric vortex
Externí odkaz:
http://arxiv.org/abs/2411.02055
Autor:
Dai, Wei, Qin, Guolin
In this paper, we aim to introduce the method of scaling spheres (MSS) as a unified approach to Liouville theorems on general domains in $\mathbb R^n$, and apply it to establish Liouville theorems on arbitrary unbounded or bounded MSS applicable doma
Externí odkaz:
http://arxiv.org/abs/2302.13988
In this paper, we systematically study the existence, asymptotic behaviors, uniqueness, and nonlinear orbital stability of traveling-wave solutions with small propagation speeds for the generalized surface quasi-geostrophic (gSQG) equation. Firstly w
Externí odkaz:
http://arxiv.org/abs/2301.00368
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
Publikováno v:
In Journal of Functional Analysis 15 October 2024 287(8)
In this paper, we study the existence and asymptotic properties of the traveling vortex pairs for the two-dimensional inviscid incompressible Boussinesq equations. We construct a family of traveling vorticity pairs, which constitutes the de-singulari
Externí odkaz:
http://arxiv.org/abs/2203.16999
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
Publikováno v:
Canadian Journal of Mathematics, 2022
We investigate a steady planar flow of an ideal fluid in a (bounded or unbounded) domain $\Omega\subset \mathbb{R}^2$. Let $\kappa_i\not=0$, $i=1,\ldots, m$, be $m$ arbitrary fixed constants. For any given non-degenerate critical point $\mathbf{x}_0=
Externí odkaz:
http://arxiv.org/abs/2108.07436