Oliver Richters
Termine:
Forschungspapiere:
@RichtersOliver
- Modeling the out-of-equilibrium dynamics of bounded rationality and economic constraints (JEBO)
- Making Markets Just (pdf)
- Analytical Helmholtz Decomposition and Potential Functions for many n-dimensional unbounded vector fields (arXiv)
- Growth imperatives: Substantiating a contested concept (SCED)
- From constrained optimization to constrained dynamics (JEIC)... mehr
@RichtersOliver
Helmholtz Decomposition
This page by Oliver Richters contains some material on the Helmholtz decomposition, developed together with Erhard Glötzl.
The Helmholtz decomposition splits a sufficiently smooth vector field into an irrotational (curl-free) and a solenoidal (divergence-free) vector field. We extended its application to n-dimensional vector fields that need not decay at infinity.
Publications
- Erhard Glötzl, Oliver Richters: Helmholtz decomposition and potential functions for n-dimensional analytic vector fields. In: Journal of Mathematical Analysis and Applications, 2023, doi:10.1016/j.jmaa.2023.127138 (arXiv:2102.09556).
- Erhard Glötzl, Oliver Richters: Helmholtz Decomposition and Rotation Potentials in n-dimensional Cartesian Coordinates, December 2020, 2nd version February 2021, arXiv:2012.13157.
Worksheets for download
For the paper Helmholtz decomposition and potential functions for n-dimensional analytic vector fields (Journal of Mathematical Analysis and Applications), you can download a Mathematica worksheet. If you don't have Mathematica, use this .pdf version to see the results.
This download is also available at Zenodo under doi:10.5281/zenodo.7512798.