On unique continuation for Navier-Stokes equations
type: Item
instance of: scholarly article
title: On unique continuation for Navier-Stokes equations
zbMATH Open document ID: 1356.35158
DOI: 10.1155/2015/597946
author: Zhiwen Duan
author: Shuxia Han
author: Peipei Sun
published in: Abstract and Applied Analysis
publication date: 2016-12-13T00:00:00Z
review text: Summary: We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the ``logarithmic convexity'' of certain quantities, which measure the suitable Gaussian decay at infinity to obtain the Gaussian decay weighted estimates, as well as Carleman inequality. As a consequence we obtain sufficient conditions on the behavior of the solution at two different times \(t_0 = 0\) and \(t_1 = 1\) which guarantee the ``global'' unique continuation of solutions for the Navier-Stokes equations.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6662985
zbMATH Keywords: unique continuation
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Carleman inequality
Wikidata QID: Q59101380
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/597946
OpenAlex ID: W2169371087
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description: scientific article