平稳Navier-Stokes方程精确解的确定

Iurie Baltag
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摘要

本文确定了描述不可压缩液体(或气体)平面流动的平稳Navier-Stokes方程的各种精确解,即包含流速分量的解——函数u、v和产生的压力p。文中提到,得到了一系列精确解,其中粘性系数lambda显式参与。
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On determination on some exact solutions of the stationary Navier-Stokes equations
In this paper, various exact solutions of the stationary Navier-Stokes equations, which describe the planar flow of an incompressible liquid (or gas), are determined, i.e., solutions containing the components of the velocity of flow - the functions u, v and the created pressure P. We mention that in the paper a series of exact solutions is obtained, in which the viscosity coefficient lambda participates explicitly.
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