Decompositions

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 5 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 151-167 from Springer

Abstract: Abstract A vector field is a notion in multidimensional analysis. Specifically, to point x in a domain $$G\;\subset\;\mathbb{R}^n$$ one assigns a vector $${\bf{ u}}(x)\;=\;(u_1,\ldots,u_n)^T$$ . Vector fields play an important role in the description of physical relevant equations in the plane and space. In particular, vector fields describe the intensity and direction of a force, the velocity and direction of particles in a moving fluid, or the magnitude and direction of electric and magnetic forces.

Keywords: Fundamental Solution; Dirac Operator; Hilbert Module; Hodge Decomposition; Helmholtz Decomposition (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-0348-0964-1_5

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