摘要
本文首先建立复向量Ｓｏｂｏｌｅｖ空间，接着提出并严格证明了二维似稳正弦磁场的对偶变分原理。通过对于对偶复泛函相应的一对实部泛函和一对虚部泛函的一阶、二阶变分的讨论，分析了它们对偶性的真实含义，从而为工程应用提供了理论基础。
In this paper. on the basis of constructing the Sobolev spaces of complex vector-valued functions. the dual variational principles for 2D quasi-stationary sinusoidal magnetic field are proposed and analysed rigorously. The real meaning of the duality is discussed using the pairs of real and imaginary part of the complex- valued functionals pairs. and the theoretical basis for engineering application is established.
基金
国家自然科学基金
关键词
对偶变分原理
似稳正弦磁场
磁场
dual variational principles. quasi- stationary sinusoidal magnetic field
