16 citations · 22 across the 6 of their papers we have counts for
5 papers · 1 filter
Energy transfer and radiation in Hamiltonian nonlinear Klein-Gordon equations: general case
Zhen Lei, Jie Liu, Zhaojie Yang
In this paper, we consider Klein-Gordon equations with cubic nonlinearity in three spatial dimensions, which are Hamiltonian perturbations of the linear one with potential. It is a…
Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy
Ke Chen, Jie Liu
We construct weak solutions to the 3D hypoviscous incompressible elastodynamics with finite kinetic energy which was unknown in literatures. Our result holds for fractional hypovis…
On the Constantin-Lax-Majda Model with Convection
Zhen Lei, Jie Liu, Xiao Ren
The well-known Constantin-Lax-Majda (CLM) equation, an important toy model of the 3D Euler equations without convection, can develop finite time singularities [5]. De Gregorio modi…
On Incompressible Navier-Stokes Dynamics: A New Approach for Analysis and Computation
Jian-Guo Liu, Jie Liu, Robert L. Pego
We show that in bounded domains with no-slip boundary conditions, the Navier-Stokes pressure can be determined in a such way that it is strictly dominated by viscosity. As a conseq…
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics
Jian-Guo Liu, Jie Liu, Robert L. Pego
We show that in bounded domains with no-slip boundary conditions, the Navier-Stokes pressure can be determined in a such way that it is strictly dominated by viscosity. As a conseq…