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Mathematics > Analysis of PDEs

arXiv:1401.2734 (math)
[Submitted on 13 Jan 2014 (v1), last revised 20 Oct 2015 (this version, v6)]

Title:Trotter product formulas and global regular upper bounds of the Navier Stokes equation solution

Authors:Joerg Kampen
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Abstract:Global upper bounds with respect to regular norms of the incompressible Navier Stokes equation solution with regular data are constructed by an infinite scheme, where we work in bounded ZFC with bounded quantifiers and explicit infinitesimals. Trotter product formulas with infinitesimal error are obtained, which simplify for calculi with explicit infinitesimal and make the spatial effects needed in order to obtain global schemes more transparent.
Comments: 27p., thoroughly revised version, results sharpened, arXiv admin note: text overlap with arXiv:1112.4660
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1401.2734 [math.AP]
  (or arXiv:1401.2734v6 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1401.2734

Submission history

From: Joerg Kampen [view email]
[v1] Mon, 13 Jan 2014 07:27:41 UTC (17 KB)
[v2] Tue, 25 Mar 2014 10:33:52 UTC (18 KB)
[v3] Sun, 27 Apr 2014 20:19:22 UTC (27 KB)
[v4] Tue, 23 Sep 2014 09:05:11 UTC (29 KB)
[v5] Wed, 1 Oct 2014 08:56:53 UTC (32 KB)
[v6] Tue, 20 Oct 2015 11:33:31 UTC (35 KB)
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