亥姆霍兹分解

在物理学和数学中的矢量分析中，亥姆霍兹定理（英语：Helmholtz's theorem），或称矢量分析基本定理（fundamental theorem of vector calculus），宣称对于任意足够平滑、快速衰减的三维矢量场可解为一个保守矢量场和一个螺线矢量场的和，这个过程被称作亥姆霍兹分解（英语：Helmholtz decomposition）。

参考文献

• George B. Arfken and Hans J. Weber, Mathematical Methods for Physicists, 4th edition, Academic Press: San Diego (1995) pp. 92–93
• George B. Arfken and Hans J. Weber, Mathematical Methods for Physicists International Edition, 6th edition, Academic Press: San Diego (2005) pp. 95–101
• C. Amrouche, C. Bernardi, M. Dauge, and V. Girault. "Vector potentials in three dimensional non-smooth domains." Mathematical Methods in the Applied Sciences, 21, 823–864, 1998.
• R. Dautray and J.-L. Lions. Spectral Theory and Applications, volume 3 of Mathematical Analysis and Numerical Methods for Science and Technology. Springer-Verlag, 1990.
• V. Girault and P.A. Raviart. Finite Element Methods for Navier–Stokes Equations: Theory and Algorithms. Springer Series in Computational Mathematics. Springer-Verlag, 1986.

外部链接

• Helmholtz theorem（MathWorld）