Regularity for the 3D evolution Navier-Stokes equations under Navier boundary conditions in some Lipschitz domains

DOI10.3934/dcds.2021151zbMath1483.35151OpenAlexW3208465290MaRDI QIDQ2076479

Alessio Falocchi, Gazzola, Filippo

Publication date: 17 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021151

zbMATH Keywords

three-dimensional Navier-Stokes equationsregularity of solutionsLipschitz domains with symmetries

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for second-order parabolic equations (35K20) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

The evolution Navier-Stokes equations in a cube under Navier boundary conditions: rarefaction and uniqueness of global solutions

Cites Work

• Stokes and Navier-Stokes equations with Navier boundary condition
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• Navier-Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary
• \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition
• Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
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