Navier–Stokes equations in aperture domains: Global existence with bounded flux and time‐periodic solutions

DOI10.1002/mma.903zbMath1135.35062OpenAlexW2099595672MaRDI QIDQ5448588

Paolo Maremonti, Francesca Crispo

Publication date: 7 March 2008

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

Full work available at URL: https://doi.org/10.1002/mma.903

zbMATH Keywords

Navier-Stokes equationsperiodic solutionsaperture domainnon-null flux

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 (9)

A general approach to time periodic incompressible viscous fluid flow problems ⋮ The Navier-Stokes equations on the plane with time-dependent external forces ⋮ Uniqueness of Solutions on the Whole Time Axis to the Navier-Stokes Equations in Unbounded Domains ⋮ Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains ⋮ Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity ⋮ A note on the existence and uniqueness of time-periodic electro-rheological flows ⋮ Uniqueness of almost periodic-in-time solutions to 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

• Asymptotic study of the solution for pinched cylindrical shells
• HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES

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