activity
20062023
most citedWell-posedness of the Cauchy problem for the fractional power dissipative equations

224 citations · 289 across the 15 of their papers we have counts for

collaborators

16 papers

math.AP2023

Global regularity for the 2D micropolar Rayleigh-Bénard convection system with velocity zero dissipation and temperature critical dissipation

Baoquan Yuan, Changhao Li

This paper studies the global regularity problem for the 2D micropolar Rayleigh-Bénard convection system with velocity zero dissipation, micro-rotation velocity Laplace dissipation…

math.AP2022

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…

math.AP2021

Global large solution for the tropical climate model with diffusion

Xia Chen, Baoquan Yuan, Ying Zhang

This paper studies the d-dimensional (d=2,3) tropical climate model with only the dissipation of the first baroclinic model of the velocity (). By choosing a class of special…

math.AP2021

Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations

Baoquan Yuan, Xueli Ke

This paper is concerned with the Cauchy problem of the multi-dimensional incompressible magnetohydrodynamic equations with inhomogeneous density and fractional dissipation. It is s…

math.AP2020

Existence and uniqueness of local weak solution of d-dimensional tropical climate model without thermal diffusion in inhomogeneous Besov space

Baoquan Yuan, Ying Zhang

This paper studies the existence and uniqueness of local weak solutions to the d-dimensional tropical climate model without thermal diffusion. We establish that, when , $…

math.AP2020

The global well-posedness of strong solutions to 2D MHD equations in Lei-Lin space

Baoquan Yuan, Yamin Xiao

In this paper, we study the Cauchy problem of the 2D incompressible magnetohydrodynamic equations in Lei-Lin space. The global well-posedness of a strong solution in the Lei-Lin sp…