Time-periodic solutions to the navier-stokes equations

Giovanni P. Galdi; Mads Kyed

doi:10.1007/978-3-319-13344-7_10

Time-periodic solutions to the navier-stokes equations

Giovanni P. Galdi^*, Mads Kyed

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

13 Citations (Scopus)

Abstract

The Navier-Stokes equations with time-periodic data are investigated with respect to solutions of the same period. In the physical terms, such a system models the flow of a viscous liquid under the influence of a time-periodic force. The three most relevant types of flow domains, from a physical point of view, are considered: a bounded domain, an exterior domain, and an infinite pipe. Methods to show existence of both weak and strong solutions are introduced. Moreover, questions regarding regularity, uniqueness, and asymptotic structure at spatial infinity of solutions are addressed.

Original language	English
Title of host publication	Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Publisher	Springer International Publishing
Pages	509-578
Number of pages	70
ISBN (Electronic)	9783319133447
ISBN (Print)	9783319133430
DOIs	https://doi.org/10.1007/978-3-319-13344-7_10
Publication status	Published - 2018 Apr 19
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Physics and Astronomy(all)
Engineering(all)

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10.1007/978-3-319-13344-7_10

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AB - The Navier-Stokes equations with time-periodic data are investigated with respect to solutions of the same period. In the physical terms, such a system models the flow of a viscous liquid under the influence of a time-periodic force. The three most relevant types of flow domains, from a physical point of view, are considered: a bounded domain, an exterior domain, and an infinite pipe. Methods to show existence of both weak and strong solutions are introduced. Moreover, questions regarding regularity, uniqueness, and asymptotic structure at spatial infinity of solutions are addressed.

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Time-periodic solutions to the navier-stokes equations

Abstract

ASJC Scopus subject areas

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