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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
ISBN: 978-3-030-00047-9
Publisher Version:
Appears in Collections:CHAG - Capítulo de livro

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