123 citations · 408 across the 29 of their papers we have counts for
30 papers
Sharp decay estimates for global solutions to the incompressible rotating Navier--Stokes equations
Mikihiro Fujii, Yang Li, Jiang Xu
In this paper, we consider the three-dimensional incompressible rotating Navier--Stokes equations and establish the sharp decay estimates of global solutions. We reveal that…
Decay of higher order derivatives for solutions to the compressible fluid model of Korteweg type
Zihao Song, Jiang Xu
We present a new derivation for the optimal decay of \textit{arbitrary} higher order derivatives for solutions to the compressible fluid model of Korteweg type. This approach…
Global existence and analyticity of solutions to the compressible fluid model of Korteweg type
Zihao Song, Jiang Xu
We are concerned with a system of equations in governing the evolution of isothermal, viscous and compressible fluids of Korteweg type, that can be used as…
The large-time behavior of solutions in the critical framework for compressible viscous and heat-conductive gas flows
Weixuan Shi, Jiang Xu
The theory for non-isentropic Navier-Stokes equations governing compressible viscous and heat-conductive gases is not yet proved completely so far, because the critical reg…
Global existence in critical spaces for non Newtonian compressible viscoelastic flows
Xinghong Pan, Jiang Xu, Yi Zhu
We are interested in the multi-dimentional compressible viscoelastic flows of Oldroyd type, which is one of non-Newtonian fluids exhibiting the elastic behavior. In order to captur…
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
Hongmei Cao, Hao-Guang Li, Chao-Jiang Xu +1
In this work, we investigate the Cauchy problem for the spatially inhomogeneous non-cutoff Kac equation. If the initial datum belongs to the spatially critical Besov space, we can…