期刊文献+

不可压流体的边界层问题 被引量:4

Boundary Layer Associated with Incompressible Navier-Stokes Eqations
下载PDF
导出
摘要 研究三维有界区域在边界上有流动的不可压流体的边界层问题,导出了Navier-Stokes方程区域内部的近似方程(Euler方程和线性化的Euler方程)和边界附近近似的方程(零阶边界层方程与一阶边界层方程),证明了这种近似的合理性。 The authors study the boundary layer of wall bounded flows in a channel at small viscosity when the boundaries are permeable, and prove that there exists the first order boundary layer at the outlet.
作者 谢晓强 张蕾
出处 《数学年刊(A辑)》 CSCD 北大核心 2009年第3期309-332,共24页 Chinese Annals of Mathematics
关键词 不可压缩流体 EULER方程 边界层 Incompressible fluid, Euler equations, Boundary layer
  • 相关文献

参考文献12

  • 1Ladyzhenskaya O. A., The Mathematical Theory of Viscous Incompressible Flows [M], 2nd Ed., New York: Gordon and Breach, 1969.
  • 2Tosio Kato, Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary [M] // Seminar on Nonlinear Partial Differential Equations (Berkeley, Calif., 1983), 85-98, Math. Sci. Res. Inst. Publ. 2, New York: Springer-Verlag, 1984.
  • 3Sammartino M. and Calisch R. E., Zero viscosity limit for analytic solutions of the Navier-Stokes equations, Proceedings of the Ⅷ International Conference on Waves and Stability in Continuous Media, Part Ⅱ [J], Rend. Circ. Mat. Palermo, 1996, 45:595- 605.
  • 4Alekseenko S. N., Existence and asymptotic representation of weak solutions to the flowing problem under the condition of regular slippage on solid walls [J], Siberian Math. J., 1994, 35(2):209-230.
  • 5Constantin P. and Foias C., Navier-Stokes Equations [M], Chicago: University of Chicago Press, 1988.
  • 6Lions J. L., Methodes de Resolution des Problemes Qux Aux Limites Non Lineaires [M], Paris: Dunod, 1969.
  • 7Temam R., Navier-Stokes Equations [M], 3rd Ed. Amsterdam: North-Holland, 1984. Reedited in the AMS-Chelsea Series, Providence, RI: Amer. Math. Soc., 2001.
  • 8Temam R., Navier-Stokes Equations and Nonlinear Functional Analysis [M]//CBMSNSF Regional Conference Series in Applied Mathematics, 2nd Ed., Philadelphia: SIAM, 1995.
  • 9Temam R. and Wang X., Remarks on the Prandtl equation for a permeable wall [J], Zeitschri ft fiir A ngewandte Mathematik und Mechanik, 2000, 80(11-12):835-843.
  • 10Temam R. and Wang X., Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case [J], Journal of Differential Equations, 2002, 179:647-686.

同被引文献27

引证文献4

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部