On analyticity of incompressible viscid fluid flow in n-dimensional torus

2002/10/22 by Oleg Zubelevich, O. Zubelevich, Zubelevich, O.
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0210041

15 pages, LaTeX2e

openalex publication_date 2002/10/22 · arxiv created 2003/03/17 · openalex created_date 2016/06/24 · arxiv updated 2016/09/07 · openalex updated_date 2026/07/28

Abstract

We prove that the evolutionary Navier-Stokes equation in n-D torus with initial data in the class of distributions has an unique solution (local in t) that is analytic by all variables. This solution presents as a series globally.

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