23 citations · 72 across the 16 of their papers we have counts for
16 papers
Global well-posedness for the 2D Euler-Boussinesq-Bnard equations with critical dissipation
Zhuan Ye
This present paper is dedicated to the study of the Cauchy problem of the two-dimensional Euler-Boussinesq-Bnard equations which couple the incompressible Euler equat…
Global regularity of 2D generalized incompressible magnetohydrodynamic equations
Chao Deng, Zhuan Ye, Baoquan Yuan +1
In this paper, we are concerned with the two-dimensional (2D) incompressible magnetohydrodynamic (MHD) equations with velocity dissipation given by and magnetic diffusion…
Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion
Zhuan Ye
Whether or not the classical solutions of the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) equations with only Laplacian magnetic diffusion (without velocity diss…
Inequalities Concerning Maximum Modulus and Zeros of Random Entire Functions
Hui Li, Jun Wang, Xiao Yao +1
Let be a random entire function, where are independent and identically distributed random variables defined on a probabil…
Global regularity and time decay for the SQG equation with anisotropic fractional dissipation
Zhuan Ye
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,…
Global regularity of 2D tropical climate model with zero thermal diffusion
Zhuan Ye
This article studies the global regularity problem of the two-dimensional zero thermal diffusion tropical climate model with fractional dissipation, given by in the barot…
Global regularity of the three-dimensional fractional micropolar equations
Dehua Wang, Jiahong Wu, Zhuan Ye
The global well-posedness of the smooth solution to the three-dimensional (3D) incompressible micropolar equations is a difficult open problem. This paper focuses on the 3D incompr…
Global regularity of the two-dimensional regularized MHD equations
Zhuan Ye
In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the…
Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier-Stokes equations with vacuum
Dehua Wang, Zhuan Ye
The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of…
On the global regularity for anisotropic dissipative surface quasi-geostrophic equation
Zhuan Ye
In this paper, we consider the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and fractional vertical thermal diffusion. Global existence…
On the Differentiability issue of the drift-diffusion equation with nonlocal Lévy-type diffusion
Liutang Xue, Zhuan Ye
We investigate the differentiability issue of the drift-diffusion equation with nonlocal Lévy-type diffusion at either supercritical or critical type cases. Under the suitable cond…
Global smooth solution to the 2D Boussinesq equations with fractional dissipation
Zhuan Ye
In this paper, we consider the two-dimensional (2D) incompressible Boussinesq system with fractional Laplacian dissipation and thermal diffusion. Based on the previous works and so…
Global regularity for the 2D Oldroyd-B model in the corotational case
Zhuan Ye, Xiaojing Xu
This paper is dedicated to the Oldroyd-B model with fractional dissipation for any . We establish the global smooth solutions to the Oldroyd-B model in the corotatio…
A note on global regularity results for 2D Boussinesq equations with fractional dissipation
Zhuan Ye
In this paper we study the Cauchy problem for the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian dissipation and thermal diffusion. Invoking the…
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
Zhuan Ye, Xiaojing Xu
As a continuation of the previous work [40], in this paper we focus on the Cauchy problem of the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian…
Epicycloids and Blaschke products
Chunlei Cao, Alastair Fletcher, Zhuan Ye
It is well known that the bounding curve of the central hyperbolic component of the Multibrot set in the parameter space of unicritical degree polynomials is an epicycloid with…