从给定的旋度函数和散度函数构造矢量场
To Construct a Vector Field with Given Curl Function and Divergence Function
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摘要: 一、与经典解法不同,本文从不同的思路给出新的求解方程组∇×=, ∇·=P的公式.二、给出构造具有指定旋度函数和散度函数的矢量场的方法.Abstract: Two conclusions have been achieved in this paper.Firstly, a formal solution of the equations ∇×=, ∇·=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.
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[1] Coffin,J.G.,Vector Analysis,New York,USA,(1911). [2] Кочин.Н.Е.,Векморное Исчцсленце Ц Начала Теозорносо Исчцсления(1951)(Издателъство Академии Наук СССР) [3] 复旦大学数学系编,《流体力学》,上海科学技术出版社,(1960). -
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