Periodic solutions of the Navier-Stokes equations in a perturbed half-space and an aperture domain

DOI10.1002/mma.618zbMath1112.76015OpenAlexW2133250865MaRDI QIDQ5463660

Takayuki Kubo

Publication date: 5 August 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.618

zbMATH Keywords

Navier-Stokes equationsperiodic solutionsaperture domainperturbed half-space

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

A general approach to time periodic incompressible viscous fluid flow problems ⋮ The Navier-Stokes equations on the plane with time-dependent external forces ⋮ Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving boundary condition ⋮ The MHD equations in the Lorentz space with time dependent external forces ⋮ Uniqueness of Solutions on the Whole Time Axis to the Navier-Stokes Equations in Unbounded Domains ⋮ Time periodic strong solutions to the incompressible Navier-Stokes equations with external forces of non-divergence form ⋮ Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains ⋮ Periodic and almost periodic motions of Navier-Stokes flows and their stability in a perturbed half-space ⋮ Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains ⋮ On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains ⋮ A remark on the uniqueness of Kozono-Nakao's mild \(L^3\)-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains ⋮ Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\)

Cites Work

• The Stokes and Navier-Stokes equations in an aperture domain
• On stability of periodic solutions of the Navier-Stokes equations in unbounded domains
• \(L_q\)-\(L_r\)-estimates for non-stationary Stokes equations in an aperture domain
• HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES

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