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Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (5): 607-611.

• 论文 • 上一篇    下一篇

TO CONSTRUCT A VECTOR FIELD WITH GIVEN CURL FUNCTION AND DIVERGENCE FUNCTION

李春宝   

  1. Dalian Marine Transport Institute, Liaoning
  • 收稿日期:1980-04-16 出版日期:1981-09-18 发布日期:1981-09-18

TO CONSTRUCT A VECTOR FIELD WITH GIVEN CURL FUNCTION AND DIVERGENCE FUNCTION

Li Chun-bao   

  1. Dalian Marine Transport Institute, Liaoning
  • Received:1980-04-16 Online:1981-09-18 Published:1981-09-18

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摘要： Two conclusions have been achieved in this paper.Firstly, a formal solution of the equations ∇×E=ω, ∇·E=P has been derived with different point of view from commonly known classical method developed by He-lmholtz(1),(2),(3).Secondly, a method to construct a vector field with given curl function and divergence function has been given in terms of the above solution.

关键词: Hilbert space, system of differential equations, two-point boundary value problem, solution

Abstract: Two conclusions have been achieved in this paper.Firstly, a formal solution of the equations ∇×E=ω, ∇·E=P has been derived with different point of view from commonly known classical method developed by He-lmholtz(1),(2),(3).Secondly, a method to construct a vector field with given curl function and divergence function has been given in terms of the above solution.

Key words: Hilbert space, system of differential equations, two-point boundary value problem, solution

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