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Mathematics > Analysis of PDEs

arXiv:1804.01767 (math)
[Submitted on 5 Apr 2018]

Title:Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in $\mathbb{R}^3$

Authors:Paula Cerejeiras, Uwe Kähler, Rolf Sören Kraußhar
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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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 30 G 35, 76 W 05
Cite as: arXiv:1804.01767 [math.AP]
  (or arXiv:1804.01767v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.01767

Submission history

From: Rolf Sören Krausshar [view email]
[v1] Thu, 5 Apr 2018 10:33:10 UTC (19 KB)
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