18 citations · 42 across the 20 of their papers we have counts for
20 papers
Liouville theorem for a class of p-Laplace type equations on manifolds
Xi-Nan Ma, Wei Wei, Tian Wu +1
We study a class of -Laplace equations on a closed -dimensional Riemannian manifold with . For $1<p<2…
On the energy and helicity conservation of the incompressible Euler equations
Yanqing Wang, Wei Wei, Gnag Wu +1
In this paper, we are concerned with the minimal regularity of weak solutions implying the law of balance for both energy and helicity in the incompressible Euler equations. In the…
The -curvature equation on a compact manifold with boundary
Xuezhang Chen, Wei Wei
We first establish local estimates of solutions to the -curvature equation with nonlinear Neumann boundary condition. Then, under assumption that the mean curvature of a…
Yaglom's law and conserved quantity dissipation in turbulence
Yanqing Wang, Wei Wei, Yulin Ye
In this paper, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equation…
Analytical validation of the helicity conservation for the compressible Euler equations
Yanqing Wang, Wei Wei, Yulin Ye
In [25], Moffatt introduced the concept of helicity in an inviscid fluid and examined the helicity preservation of smooth solution to barotropic compressible flow. In this paper, i…
Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations
Yanqing Wang, Yike Huang, Wei Wei +1
In this paper, we establish several new anisotropic Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces, which covers many known corresponding results. As…