Zobrazeno 1 - 10
of 423
pro vyhledávání: '"Zhao, Weiren"'
Autor:
Raees, Faiq, Zhao, Weiren
In this paper, we prove the local well-posedness of a scaled anisotropic Navier-Stokes-Maxwell system in a two-dimensional striped domain with a transverse magnetic field around $ (0,0,1)$ in Gevrey-2 class. We also justify the limit from the scaled
Externí odkaz:
http://arxiv.org/abs/2411.06527
Autor:
Li, Hui, Zhao, Weiren
In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipatio
Externí odkaz:
http://arxiv.org/abs/2410.23798
Autor:
Niu, Binqian, Zhao, Weiren
In this paper, we improve the size requirement of the perturbations for the asymptotic stability of the Couette flow in stratified fluids governed by the two-dimensional Navier-Stokes-Boussinesq system. More precisely, the size of perturbed temperatu
Externí odkaz:
http://arxiv.org/abs/2409.16216
In this article, we prove that the threshold of instability of the classical Couette flow in $H^s$ for large $s$ is $\nu^{1/2}$. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of wi
Externí odkaz:
http://arxiv.org/abs/2409.00307
In this paper, we investigate the asymptotic stability of the three-dimensional Couette flow in a stratified fluid governed by the Stokes-transport equation. We observe that a similar lift-up effect to the three-dimensional Navier-Stokes equation nea
Externí odkaz:
http://arxiv.org/abs/2405.12173
We study the Stokes-transport system in a two-dimensional channel with horizontally moving boundaries, which serves as a reduced model for oceanography and sedimentation. The density is transported by the velocity field, satisfying the momentum balan
Externí odkaz:
http://arxiv.org/abs/2405.12166
In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency $0 < \nu \ll 1$, exploring the interplay between the regularity and size of perturbations in the context of the asymptotic stability of the glob
Externí odkaz:
http://arxiv.org/abs/2402.14082
Autor:
Li, Hui, Zhao, Weiren
In this paper, we study the long-time behavior of the solutions to the two-dimensional incompressible free Navier Stokes equation (without forcing) with small viscosity $\nu$, when the initial data is close to stable monotone shear flows. We prove th
Externí odkaz:
http://arxiv.org/abs/2306.03555
Autor:
Zhao, Weiren, Zi, Ruizhao
In this paper, we prove the asymptotic stability of Couette flow in a strong uniform magnetic field for the Euler-MHD system, when the perturbations are in Gevrey-$\frac{1}{s}$, $(\frac12
Externí odkaz:
http://arxiv.org/abs/2305.04052
Autor:
Zhao, Weiren
We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb{T}\times [0,1]$ when the initial perturbation is in Gevrey-$\frac{1}{s}$ (
Externí odkaz:
http://arxiv.org/abs/2304.09841