97 citations · 440 across the 39 of their papers we have counts for
40 papers
Long time existence for semilinear wave equations with the inverse-square potential
Wei Dai, Daoyuan Fang, Chengbo Wang
In this paper, we study the semilinear wave equations with the inverse-square potential. By transferring the original equation to a "fractional dimensional" wave equation and analy…
Lifespan of solutions to the Strauss type wave system on asymptotically flat space-times
Wei Dai, Daoyuan Fang, Chengbo Wang
By assuming certain local energy estimates on -dimensional asymptotically flat space-time, we study the existence portion of the \emph{Strauss} type wave system. Firstly we…
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity
Hui Chen, Daoyuan Fang, Ting Zhang
In this paper, we consider the 3D Navier-Stokes equations in the whole space. We investigate some new inequalities and \textit{a priori} estimates to provide the critical regularit…
Global existence and lifespan for semilinear wave equations with mixed nonlinear terms
Wei Dai, Daoyuan Fang, Chengbo Wang
Firstly, we study the equation with small data, where is the critical power of Strauss conjecture and We obtain the optim…
Muliti-scale regularity of axisymmetric Navier-Stokes equations
Daoyuan Fang, Hui Chen, Ting Zhang
By applying the delicate \textit{a priori} estimates for the equations of , which is introduced in the previous work, we obtain some multi-scale regularity criteria of the s…
Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data
Daoyuan Fang, Ting Zhang, Ruizhao Zi
In this paper, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space with . In order to better refle…