Decay Properties of Axially Symmetric D-Solutions to the Steady Navier-Stokes Equations

作者：Weng, Shangkun^*

来源：Journal of Mathematical Fluid Mechanics, 2018, 20(1): 7-25.

DOI：10.1007/s00021-016-0310-5

• Navier-Stokes
• axially symmetric
• decay
• A(p) weight

We investigate the decay properties of smooth axially symmetric D-solutions to the steady Navier-Stokes equations. The achievements of this paper are two folds. One is improved decay rates of and , especially we show that for any smooth axially symmetric D-solutions to the Navier-Stokes equations. These improvement are based on improved weighted estimates of and weight for singular integral operators, which yields good decay estimates for and , where . Another is the first decay rate estimates in the Oz-direction for smooth axially symmetric flows without swirl. We do not need any small assumptions on the forcing term.

• 出版日期2018-3
• 单位武汉大学