Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Zhang, Yiping"'
Autor:
Zhang, Yiping
In this paper, we consider the higher-order convergence rates for the 2D stationary and non-stationary Navier-Stokes Equations over highly oscillating periodic bumpy John domains with $C^{2}$ regularity in some neighborhood of the boundary point (0,0
Externí odkaz:
http://arxiv.org/abs/2309.09252
Autor:
Jing, Wenjia, Zhang, Yiping
We study the quantitative homogenization of linear second order elliptic equations in non-divergence form with highly oscillating periodic diffusion coefficients and with large drifts, in the so-called ``centered'' setting where homogenization occurs
Externí odkaz:
http://arxiv.org/abs/2302.01157
Autor:
Zhang, Yiping
This paper investigates quantitative estimates in elliptic homogenization of non-divergence form with unbounded drift and an interface, which continues the study of the previous work by Hairer and Manson [Ann. Probab. 39(2011) 648-682], where they in
Externí odkaz:
http://arxiv.org/abs/2301.01411
Autor:
Zhang, Yiping
This paper considers a family of second-order periodic parabolic equations with highly oscillating potentials, which have been considered many times for the time-varying potentials in stochastic homogenization. Following a standard two-scale expansio
Externí odkaz:
http://arxiv.org/abs/2207.09363
Autor:
Zhang, Yiping
This paper considers a family of second-order parabolic equations in divergence form with rapidly oscillating and time-dependent periodic coefficients and an interface between two periodic structures. Following a framework initiated by Blanc, Le Bris
Externí odkaz:
http://arxiv.org/abs/2204.07279
Autor:
Zhang, Yiping
In this paper, for a family of second-order elliptic equations with rapidly oscillating periodic coefficients, we are interested in a Carleman-type inequality for these solutions satisfying an additional growth condition in elliptic periodic homogeni
Externí odkaz:
http://arxiv.org/abs/2102.06891
Autor:
Zhang, Yiping
In this paper, for a family of second-order elliptic equations with rapidly oscillating periodic coefficients and rapidly oscillating periodic potentials, we are interested in the $H^1$ convergence rates and the Dirichlet eigenvalues and bounds of th
Externí odkaz:
http://arxiv.org/abs/2010.04593
Autor:
Zhang, Yiping
In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogen
Externí odkaz:
http://arxiv.org/abs/2005.00989
Autor:
Zhang, Yiping
In this paper, we are interested in the error estimates of the reiterated Stokes systems in a bounded $C^{1,1}$ domain with Dirichlet boundary conditions. And we have obtained the $O(\varepsilon)$ error estimates for the velocity term and $O(\varepsi
Externí odkaz:
http://arxiv.org/abs/1910.01027
Autor:
Zhang, Yiping
In this paper, we are interested in the reiterated homogenization of linear elliptic equations of the form $-\frac{\partial}{\partial x_{i}} \left(a_{i j} \left(\frac{x}{\varepsilon}, \frac{x}{\varepsilon^{2}}\right) \frac{\partial u_\varepsilon}{\pa
Externí odkaz:
http://arxiv.org/abs/1909.13735