40 citations · 194 across the 24 of their papers we have counts for
4 papers · 2 filters
Decay and vanishing of some D-solutions of the Navier-Stokes equations
Bryan Carrillo, Xinghong Pan, Qi S. Zhang +1
An old problem since Leray \cite{Le:1} asks whether homogeneous D solutions of the 3 dimensional Navier-Stokes equation in or some noncompact domains are 0. In this…
Some Remarks on Regularity Criteria of Axially Symmetric Navier-Stokes Equations
Zijin Li, Xinghong Pan
Two main results will be presented in our paper. First, we will prove the regularity of solutions to axially symmetric Navier-Stokes equations under a supercritical assumptio…
Blow up of solutions for semilinear wave equations with noneffective damping
Zijin Li, Xinghong Pan
In this paper, we study the finite-time blow up of solutions to the following semilinear wave equation with time-dependent damping \[ \partial_t^2u-Δu+\fracμ{1+t}\partial_tu=|u|^p…
Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations
Bryan Carrillo, Xinghong Pan, Qi S. Zhang
We study axially symmetric D-solutions of the 3 dimensional Navier-Stokes equations. The first result is an a priori decay estimate of the velocity for general domains. The second…