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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (10): 935-942.

• 论文 • 上一篇    下一篇

THE SOLUTIONS OF STEADY-STATE CONVECTION EQUATIONS IN THE SPACES THAT POSSESS RESTORING NUCLEUS

张池平, 崔明根   

  1. Harbin University of Technology, Harbin
  • 收稿日期:1993-10-27 出版日期:1994-10-18 发布日期:1994-10-18
  • 基金资助:

    Project surrortcd by the Nationall Natural Science Foundation of China

THE SOLUTIONS OF STEADY-STATE CONVECTION EQUATIONS IN THE SPACES THAT POSSESS RESTORING NUCLEUS

Zhang Chi-ping, Cui Ming-gen   

  1. Harbin University of Technology, Harbin
  • Received:1993-10-27 Online:1994-10-18 Published:1994-10-18
  • Supported by:

    Project surrortcd by the Nationall Natural Science Foundation of China

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摘要： In this paper ,in the space W21 that possesses restoring nucleus, we obtain analyticsolutions in the series form for the steady-state convection diffusion equation The solutions have the following characteristics: (1) they ave given in the accurate form:(2)they can be calculated in the explicit way, without solving the eguations;(3) the error of the approximate solution will be monotonically decreased under the meaning of the norm of the spaces when a cardinal term is added in the procedure of numerical solution.Finally, we calculated the example in [2] the result shows that our solution is more accurate than that in [2].

关键词: generalized Ginzburg-Landau equation, squeezing property, exponential attractor

Abstract: In this paper ,in the space W21 that possesses restoring nucleus, we obtain analyticsolutions in the series form for the steady-state convection diffusion equation The solutions have the following characteristics: (1) they ave given in the accurate form:(2)they can be calculated in the explicit way, without solving the eguations;(3) the error of the approximate solution will be monotonically decreased under the meaning of the norm of the spaces when a cardinal term is added in the procedure of numerical solution.Finally, we calculated the example in [2] the result shows that our solution is more accurate than that in [2].

Key words: generalized Ginzburg-Landau equation, squeezing property, exponential attractor

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