The Navier–Stokes equations on the plane with time-dependent external forces

Masao Yamazaki ()
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Masao Yamazaki: Waseda University

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-42

Abstract: Abstract We are concerned with the non-stationary Navier–Stokes equations on the whole plane with external forces which are non-decaying in time, and give a sufficient condition on the external forces for the existence of a solution which exists for whole time. Typical examples are time-periodic solutions and solutions almost periodic in time. The stability under perturbation is also verified.

Keywords: Navier–Stokes equation; Time-periodic function; Almost periodic function; Weighted Lorentz spaces; 35Q30 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00107-6

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