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

2014/01/13 by Joerg Kampen, Kampen, Joerg
Engineering · Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Analysis #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1401.2734

27p., thoroughly revised version, results sharpened, arXiv admin note: text overlap with arXiv:1112.4660

openalex publication_date 2014/01/13 · arxiv created 2015/10/20 · arxiv updated 2015/10/21 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

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.

Citations

• Generalized Brownian motion from a logical point of view

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