97 citations · 440 across the 39 of their papers we have counts for
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Some new regularity criteria for the 3D Navier-Stokes Equations
Daoyuan Fang, Chenyin Qian
Several types of new regularity criteria for Leray-Hopf weak solutions to the 3D Navier-Stokes equations are obtained. Some of them are based on the third component of ve…
Global existence in critical spaces for density-dependent incompressible viscoelastic fluids
Daoyuan Fang, Bin Han, Ting Zhang
In this paper we consider the local and global well-posedness to the density-dependent incompressible viscoelastic fluids. We first study some linear models associated to the incom…
Regularity criterion for 3D Navier-Stokes Equations in Besov spaces
Daoyuan Fang, Chenyin Qian
Several regularity criterions of Leray-Hopf weak solutions to the 3D Navier-Stokes equations are obtained. The results show that a weak solution becomes regular if the grad…
Global existence results for the Navier-Stokes equations in the rotational framework
Daoyuang Fang, Bin Han, Matthias Hieber
Consider the equations of Navier-Stokes in in the rotational setting, i.e. with Coriolis force. It is shown that this set of equations admits a unique, global mild solution…
The regularity criterion for 3D Navier-Stokes Equations
Daoyuan Fang, Chenyin Qian
In this article, we establish sufficient conditions for the regularity of solutions of Navier-Stokes equations based on one of the nine entries of the gradient tensor. We improve t…
Global existence results for Oldroyd-B Fluids in exterior domains: The case of non-small coupling parameters
Daoyuang Fang, Matthias Hieber, Ruizhao Zi
Consider the set of equations describing Oldroyd-B fluids in an exterior domain. It is shown that this set of equations admits a unique, global solution in a certain function space…