Weak solutions and their kinetic energy regarding time-periodic navier–stokes equations in three dimensional whole-space

Mads Kyed

doi:10.3390/math9131528

Weak solutions and their kinetic energy regarding time-periodic navier–stokes equations in three dimensional whole-space

Mads Kyed^*

^*Corresponding author for this work

Graduate School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	1528
Journal	Mathematics
Volume	9
Issue number	13
DOIs	https://doi.org/10.3390/math9131528
Publication status	Published - 2021 Jul 1

Keywords

Navier
Stokes; time-periodic solutions

ASJC Scopus subject areas

Mathematics(all)

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10.3390/math9131528

Cite this

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title = "Weak solutions and their kinetic energy regarding time-periodic navier–stokes equations in three dimensional whole-space",

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",

author = "Mads Kyed",

note = "Publisher Copyright: {\textcopyright} 2021 by the author. Licensee MDPI, Basel, Switzerland.",

year = "2021",

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AB - 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.

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KW - Stokes; time-periodic solutions

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Weak solutions and their kinetic energy regarding time-periodic navier–stokes equations in three dimensional whole-space

Abstract

Keywords

ASJC Scopus subject areas

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