On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line

Matthias Georg Hieber*, Thieu Huy Nguyen, Anton Seyfert

*この研究の対応する著者

研究成果: Conference contribution

7 被引用数 (Scopus)

抄録

It is shown that a large class of semilinear evolution equations on the whole line with periodic or almost periodic forces admit periodic or almost periodic mild solutions. The approach presented generalizes the method described in [28] to the case of the whole line and to forces which are almost periodic in the sense of H. Bohr. It relies on interpolation methods and on Lp- Lq -smoothing properties of the underlying linearized equation. Applied to incompressible fluid flow problems, the approach yields new results on (almost) periodic solutions to the Navier-Stokes-Oseen equations, to the flow past rotating obstacles, to the Navier-Stokes equations in the rotational setting as well as to Ornstein–Uhlenbeck type equations.

本文言語English
ホスト出版物のタイトルMathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday
出版社Springer New York LLC
ページ51-81
ページ数31
215
ISBN(印刷版)9783319667621
DOI
出版ステータスPublished - 2017 1月 1
外部発表はい
イベントInternational Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015 - Sapporo, Japan
継続期間: 2015 8月 162015 8月 18

Other

OtherInternational Conference on Mathematics for Nonlinear Phenomena: Analysis and Computation in Honor of Professor Yoshikazu Giga on his 60th Birthday, MNP 2015
国/地域Japan
CitySapporo
Period15/8/1615/8/18

ASJC Scopus subject areas

  • 数学 (全般)

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