摘要
Let(u,B)be a strong solution of the magneto-hydrodynamic system on three dimensional torus T^(3).In this note,using the properties of the curl operator,we show that‖(▽×(u-B),▽×(u+B))(·,t)‖L^(1)+1/2v‖(u-B,u+B)(·,t)‖_(L^(2))^(2)is decreasing in time t as long as the solution(u,B)(·,t)exists,where∇×w means the curl of the vector function w,and v>0 is the viscosity coefficient.
基金
supported by the National Natural Science Foundation of China(12371123).
