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pro vyhledávání: '"Ye, Zhuan"'
Autor:
Ye, Zhuan
This present paper is dedicated to the study of the Cauchy problem of the two-dimensional Euler-Boussinesq-B$\rm\acute{e}$nard equations which couple the incompressible Euler equations for the velocity and a transport equation with critical dissipati
Externí odkaz:
http://arxiv.org/abs/2306.10670
In this paper, we are concerned with the two-dimensional (2D) incompressible magnetohydrodynamic (MHD) equations with velocity dissipation given by $(-\Delta)^{\alpha}$ and magnetic diffusion given by reducing about logarithmic diffusion from standar
Externí odkaz:
http://arxiv.org/abs/2206.12666
Autor:
Ye, Zhuan
Publikováno v:
J. Evol. Equ. 18 (2018), no. 2, 821-844
Whether or not the classical solutions of the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) equations with only Laplacian magnetic diffusion (without velocity dissipation) are globally well-posed is a difficult problem and remains co
Externí odkaz:
http://arxiv.org/abs/2205.00688
Let $f_\omega(z)=\sum\limits_{j=0}^{\infty}\chi_j(\omega) a_j z^j$ be a random entire function, where $\chi_j(\omega)$ are independent and identically distributed random variables defined on a probability space $(\Omega, \mathcal{F}, \mu)$. In this p
Externí odkaz:
http://arxiv.org/abs/2012.07453
Autor:
Ye, Zhuan
In this paper, we focus on the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and fractional vertical thermal diffusion. On the one hand, when the dissipation powers are restricted to a suitable range, the g
Externí odkaz:
http://arxiv.org/abs/2012.02956
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Autor:
Ye, Zhuan
This article studies the global regularity problem of the two-dimensional zero thermal diffusion tropical climate model with fractional dissipation, given by $(-\Delta)^{\alpha}u$ in the barotropic mode equation and by $(-\Delta)^{\beta}v$ in the fir
Externí odkaz:
http://arxiv.org/abs/1905.05338