\(H^\infty\)-calculus for the surface Stokes operator and applications

DOI10.1007/s00021-022-00742-yzbMath1502.35127arXiv2111.12586OpenAlexW3215645930MaRDI QIDQ2096359

Gieri Simonett, Mathias Wilke

Publication date: 16 November 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12586

zbMATH Keywords

global existence\(H^\infty\)-calculuscritical spacesKilling vector fieldsKorn's inequalitysurface Navier-Stokes equationssurface Stokes operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Multilinear algebra, tensor calculus (15A69) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

The restriction problem on the ellipsoid ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations

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