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Navier-Stokes方程的相似解 被引量:2

SIMILARITY SOLUTIONS OF THE NAVIERSTOKES EQUATIONS
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摘要 综述了Navier-stokes方程的相似解,表明几乎所有已知的非线性相似解都可以通过伸缩变换的方法得到。论述了相似解所需要满足的条件:定常解下,速度或与坐标成正比或与坐标成反比;非定常解的存在,还依赖于某些特殊的时间关系。 Similarity solutions of the Navier-Stokes equations are reviewed. It is shown stretching leads to all existing significant nonlinear solutions. The steady state solutions proportional or proportional to distance. The unsteady solutions have a very specific time that the method of are either inversely dependence.
作者 王昌逸 洪柳
出处 《力学进展》 EI CSCD 北大核心 2006年第1期31-35,共5页 Advances in Mechanics
关键词 NAVIER-STOKES方程 相似解 精确解 伸缩变换 Navier-Stokes equations, similarity solution, exact solution, stretching transform
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