On linearization principle for Navier-Stokes system with dynamic slip boundary condition

DOI10.3934/cpaa.2023034zbMath1525.76024OpenAlexW4322747574MaRDI QIDQ6166256

Dalibor Pražák, Michael Zelina

Publication date: 6 July 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023034

zbMATH Keywords

weak solutioneigenvaluespectrumnonlinear stabilityenergy inequalityHilbert-Schmidt operatordynamic Stokes operatorgeneralized eigenfunction basis

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity
• One-Parameter Semigroups for Linear Evolution Equations
• An Introduction to Partial Differential Equations
• On the dynamic slip boundary condition for Navier–Stokes-like problems

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