On the Navier-Stokes equations on surfaces

DOI10.1007/s00028-020-00648-0zbMath1486.35348arXiv2005.00830OpenAlexW3104329228MaRDI QIDQ2062839

Mathias Wilke, Gieri Simonett, Jan W. Prüss

Publication date: 3 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00830

zbMATH Keywords

Navier-Stokes equationsKilling vector fieldsstability of equilibriaBoussinesq-Scriven surface stress tensor

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 (8)

Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ The restriction problem on the ellipsoid ⋮ A numerical approach for fluid deformable surfaces with conserved enclosed volume ⋮ Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations ⋮ On derivations of evolving surface Navier-Stokes equations ⋮ \(H^\infty\)-calculus for the surface Stokes operator and applications ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

Cites Work

• Unnamed Item
• Unnamed Item
• Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
• Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
• On critical spaces for the Navier-Stokes equations
• On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
• Infinite-dimensional dynamical systems in mechanics and physics
• Critical spaces for quasilinear parabolic evolution equations and applications
• Incompressible fluid problems on embedded surfaces: modeling and variational formulations
• On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid
• A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
• The formulation of the Navier-Stokes equations on Riemannian manifolds
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• Energetic variational approaches for incompressible fluid systems on an evolving surface
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• A Finite Element Method for the Surface Stokes Problem
• Besov-Morrey spaces: Function space theory and applications to non-linear PDE
• Numerical simulation of incompressible two‐phase flows with a Boussinesq–Scriven interface stress tensor
• Shorter Note: Orientability of Hypersurfaces in R n

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