Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24148
Title: | Some applications of parabolic Dirac Operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in R^3 |
Author: | Cerejeiras, P. Kahler, U. Krausshar, Soeren |
Keywords: | Instationary PDE Navier-Stokes equations Conformally flat 7 manifolds Clifford algebra valued integral calculus |
Issue Date: | 2018 |
Publisher: | Springer International Publishing |
Abstract: | In this paper we give a survey on how to apply recent techniques of Clifford analysis over conformally flat manifolds to deal with instationary flow problems on cylinders and tori. Solutions are represented in terms of integral operators involving explicit expressions for the Cauchy kernel that are associated to the parabolic Dirac operators acting on spinor sections of these manifolds. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24148 |
DOI: | 10.1007/978-3-030-00049-3_2 |
ISBN: | 978-3-030-00047-9 |
Publisher Version: | https://www.springer.com/us/book/9783030000479 |
Appears in Collections: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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CKK-Dirac-conference-Florida_final.pdf | 332.53 kB | Adobe PDF | View/Open |
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