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On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics
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SYSNO ASEP 0333022 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics Title O pertubacích řešení Navierových-Stokesových rovnic s velkými počátečními daty a jejich dynamice Author(s) Kučera, P. (CZ)
Neustupa, Jiří (MU-W) RID, SAI, ORCIDSource Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 71, č. 12 (2009), s. 2690-2695Number of pages 6 s. Language eng - English Country GB - United Kingdom Keywords Navier-Stokes equations ; stability ; dynamics of solutions Subject RIV BA - General Mathematics R&D Projects IAA100190905 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000277952800190 DOI 10.1016/j.na.2009.06.021 Annotation We prove a theorem on stability of a strong solution of the Navier-Stokes equations with respect to perturbation of the initial velocity in the norm of A^{1/4} (where A is the Stokes operator) and also with respect to certain perturbations of the acting body force. The theorem is applied to obtain new results on the dynamics of solutions of the Navier-Stokes equations. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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