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On time-periodic Navier-Stokes flows with fast spatial decay in the whole space
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SYSNO ASEP 0489054 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On time-periodic Navier-Stokes flows with fast spatial decay in the whole space Author(s) Nakatsuka, Tomoyuki (MU-W) RID, SAI Source Title Journal of Elliptic and Parabolic Equations. - : Springer - ISSN 2296-9020
Roč. 4, č. 1 (2018), s. 51-67Number of pages 17 s. Language eng - English Country CH - Switzerland Keywords Navier-Stokes equation ; time-periodic solution ; asymptotic property Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000432918400003 EID SCOPUS 85071267219 DOI 10.1007/s41808-018-0011-8 Annotation We investigate the pointwise behavior of time-periodic Navier–Stokes flows in the whole space. We show that if the time-periodic external force is sufficiently small in an appropriate sense, then there exists a unique time-periodic solution {u,p} of the Navier–Stokes equation such that ... Our solution decays more rapidly than the time-periodic Stokes fundamental solution. The proof is based on the representation formula of a solution via the time-periodic Stokes fundamental solution and its properties. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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