Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26889
Title: | Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds |
Author: | Cerejeiras, Paula Kähler, Uwe Kraußhar, Sören R. |
Keywords: | Quaternionic integral operator calculus Instationary incompressible viscous magnetohydrodynamics equations Parabolic Dirac operators Fundamental solutions Conformally flat manifolds PDE on spin manifolds |
Issue Date: | 2019 |
Publisher: | Birkhäuser |
Abstract: | In this paper we apply classical and recent techniques from quaternionic analysis using parabolic Dirac type operators and related Teodorescu and Cauchy-Bitzadse type operators to set up some analytic representation formulas for the solutions to the time dependent incompressible viscous magnetohydrodynamic equations on some conformally flat manifolds, such as cylinders and tori associated with different spinor bundles. Also in this context a special variant of hypercomplex Eisenstein series related to the parabolic Dirac operator serve as kernel functions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26889 |
DOI: | 10.1007/978-3-030-23854-4_8 |
ISBN: | 978-3-030-23853-7 |
Appears in Collections: | CIDMA - Capítulo de livro DMat - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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Kraushaar.pdf | 391.92 kB | Adobe PDF | View/Open |
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