稳态N—S流的能量衰减估计

Energy Decay Estimates in Steady Navier-Stokes Flow

对平面半无限带状区域上的稳态Navier—Stokes流的速度场建立了Saint—Venant原理，利用一个二阶微分不等式，在一定条件下，证明了以Navier—Stokes流边值问题的解所定义的加权能量积分随着与区域有限端的距离增大呈指数形式衰减．

The Saint-Venant's principle for velocity field of a steady Navier-Stokes flow in a semi-infinite strip is established. Exponential decay estimates in terms of the distance from the finite end of the strip is obtained by a second order differential ineguality for a weighted energy integral defined on the solution of Navier-Stokes flow boundary value problem under some condition.