On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3

0343675 - ÚH 2011 RIV US eng J - Článek v odborném periodiku
Skalák, Zdeněk
On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3.
Discrete and Continuous Dynamical systems - Series S. Roč. 3, č. 2 (2010), s. 361-370. ISSN 1937-1632. E-ISSN 1937-1179
Grant CEP: GA AV ČR IAA100190905
Výzkumný záměr: CEZ:AV0Z20600510
Klíčová slova: Navier–Stokes equations * asymptotic behavior * decay of higher-order norms
Kód oboru RIV: BA - Obecná matematika

In this paper we study the large-time behavior of global weak solutions of the Navier-Stokes equations in the whole space satisfying the strong energy inequality. We especially show that any space derivative of the solution measured in L2-norm decreases with time going to infinity quickly than the L2-norm of the solution itself.
Trvalý link: http://hdl.handle.net/11104/0186100