Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations

DOI10.1007/s10440-023-00612-3arXiv2204.11290OpenAlexW4387673273MaRDI QIDQ6089341

Thomas Eiter, Mads Kyed, Yoshihiro Shibata

Publication date: 17 November 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11290

zbMATH Keywords

Navier-Stokes equationsevolution equationstime-periodic solutions\(L_p\) estimatesinhomogeneous boundary data

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Nonlinear evolution equations (47J35)

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