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pro vyhledávání: '"Zhai, Cuili"'
In this paper, we obtain the global well-posedness and the asymptotic behavior of solution of non-resistive 2D MHD problem on the half space. We overcome the difficulty of zero spectrum gap by building the relationship between half space and the whol
Externí odkaz:
http://arxiv.org/abs/2401.10456
Autor:
Zhai, Cuili, Zhao, Weiren
In this paper, we study the nonlinear asymptotic stability of the Couette flow in the stably stratified regime, namely the Richardson number $\gamma^2>\frac{1}{4}$. Precisely, we prove that if the initial perturbation $(u_{in},\vartheta_{in})$ of the
Externí odkaz:
http://arxiv.org/abs/2204.09662
In this paper, we study the asymptotic stability for the two-dimensional Navier-Stokes Boussinesq system around the Couette flow with small viscosity $\nu$ and small thermal diffusion $\mu$ in a finite channel. In particular, we prove that if the ini
Externí odkaz:
http://arxiv.org/abs/2201.06832
In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity an
Externí odkaz:
http://arxiv.org/abs/2103.14614
Publikováno v:
In Journal of Functional Analysis 1 January 2023 284(1)
In this paper, we consider the generation of magnetic island for the linearized MHD equations around the steady flowing plasma with velocity field $U_s=(u(y),0)$ and magnetic field $H_s=(b(y),0)$ in the finite channel.
Externí odkaz:
http://arxiv.org/abs/1809.08544
Akademický článek
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Autor:
Zhai, Cuili, Zhang, Ting
In this article, we consider the global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity. More precisely, assuming $a_0 \in \dot{B}_{q,1}^{\frac{3}{q}}(\mathbb{R}^3)$ and $u_0=(u_0^h,u_0^3)
Externí odkaz:
http://arxiv.org/abs/1410.6300
Publikováno v:
Archive for Rational Mechanics & Analysis. Dec2021, Vol. 242 Issue 3, p1317-1394. 78p.
Autor:
Zhai, Cuili, Zhang, Ting
Publikováno v:
In Journal of Differential Equations 15 September 2016 261(6):3519-3550