380 citations · 992 across the 26 of their papers we have counts for
26 papers
Nonlinear stability of a background magnetic field for the 3D compressible MHD equations with anisotropic dissipation
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
We study the nonlinear stability of an equilibrium with a background magnetic field for the three-dimensional compressible magnetohydrodynamic (MHD) equations in the whole space $\…
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
This paper resolves the global regularity problem for the three-dimensional compressible magnetohydrodynamics (MHD) equations in the three-dimensional whole space, in the presence…
Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
Hengrong Du, Xianpeng Hu, Changyou Wang
In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris-Edwards -tensor system modeling the hydrodynamic motion of nematic liquid…
Hausdorff dimension of concentration for isentropic compressible Navier-Stokes equations
Xianpeng Hu
The concentration phenomenon of the kinetic energy, , associated to isentropic compressible Navier-Stokes equations, is addressed in with an…
On the Cauchy problem for two dimensional incompressible viscoelastic flows
Xianpeng Hu, Fanghua Lin
We study the large-data Cauchy problem for two dimensional Oldroyd model of incompressible viscoelastic fluids. We prove the global-in-time existence of the Leray-Hopf type weak so…
Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
Xianpeng Hu, Hao Wu
We consider the Cauchy problem for incompressible viscoelastic fluids in the whole space (). By introducing a new decomposition via Helmholtz's projections, w…