Weak Solutions and Their Kinetic Energy Regarding Time-Periodic Navier–Stokes Equations in Three Dimensional Whole-Space

Mads Kyed
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Mads Kyed: Fachbereich Maschinenbau, Flensburg University of Applied Sciences, Kanzleistrasse 91-93, 24943 Flensburg, Germany

Mathematics, 2021, vol. 9, issue 13, 1-28

Abstract: The existence of weak time-periodic solutions to Navier–Stokes equations in three dimensional whole-space with time-periodic forcing terms are established. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained. No restrictions on either the size or structure of the external force are required.

Keywords: Navier–Stokes; time-periodic solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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