Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Hu Xianpeng"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 660-685 (2023)
We are concerned with the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the three-dimensional compressible viscoelastic equations. The incompressibility is achieved by the large value of the volume
Externí odkaz:
https://doaj.org/article/de498145cc124ae4b667a8e8b32b551b
In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris-Edwards $Q$-tensor system modeling the hydrodynamic motion of nematic liquid crystals with either Landau-De Gennes bulk potential in $\mathbb R^3$
Externí odkaz:
http://arxiv.org/abs/1905.08440
Autor:
Cui, Xiufang1 (AUTHOR), Hu, Xianpeng2 (AUTHOR) xianpehu@cityu.edu.hk
Publikováno v:
Communications in Mathematical Physics. Sep2023, Vol. 402 Issue 3, p3253-3336. 84p.
Autor:
Hu, Xianpeng
The concentration phenomenon of the kinetic energy, $\rho|\mathbf{u}|^2$, associated to isentropic compressible Navier-Stokes equations, is addressed in $\mathbb{R}^n$ with $n=2,3$ and the adiabatic constant $\gamma\in[1,\frac{n}{2}]$. Except a space
Externí odkaz:
http://arxiv.org/abs/1606.06825
Autor:
Hu, Xianpeng, Lin, Fanghua
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 solutions in the physical energy space. Our method relies on a new $\tex
Externí odkaz:
http://arxiv.org/abs/1601.03497
Autor:
Hu, Xianpeng, Wu, Hao
Publikováno v:
Discrete Contin. Dyn. Syst., 35(8) (2015), 3437-3461
We consider the Cauchy problem for incompressible viscoelastic fluids in the whole space $\mathbb{R}^d$ ($d=2,3$). By introducing a new decomposition via Helmholtz's projections, we first provide an alternative proof on the existence of global smooth
Externí odkaz:
http://arxiv.org/abs/1411.0518
Autor:
Hu, Xianpeng, Wu, Guochun
Publikováno v:
In Journal of Differential Equations 5 November 2020 269(10):8132-8172
Autor:
Hu, Xianpeng, Zhao, Wenbin
Publikováno v:
In Journal of Differential Equations 5 February 2020 268(4):1658-1685
Autor:
Hu, Xianpeng, Lin, Fanghua
The existence of global-in-time classical solutions to the Cauchy problem of incompressible Magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions. The linearization of equations is a degenerated parabolic-hyperbolic
Externí odkaz:
http://arxiv.org/abs/1405.0082
Autor:
Hu, Xianpeng
The existence of global-in-time classical solutions to the Cauchy problem of compressible magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions. The linear structure is a degenerated hyperbolic-parabolic system. The
Externí odkaz:
http://arxiv.org/abs/1405.0274