On the unsteady Navier-Stokes equations in a time-moving domain with velocity-pressure boundary conditions

DOI10.1016/S0362-546X(01)00123-7zbMath1007.35061OpenAlexW1977247921MaRDI QIDQ1599972

K. Amedodji, Guy Bayada, Michèle Chambat

Publication date: 22 July 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00123-7

zbMATH Keywords

weak formulationnoncylindrical domainexistence of solutionbilinear operatorelliptic regularizationcoercivity conditionpenalized problemjournal bearing flowFrechet-Kolmogorov techniquetensorial space-time test functionstime-moving domaintime-periodic boundary conditionsWhitney cubes

Mathematics Subject Classification ID

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

Related Items

ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS ⋮ Rigorous justification of the asymptotic model describing a curved‐pipe flow in a time‐dependent domain ⋮ The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ Reaction of the fluid flow on time-dependent boundary perturbation ⋮ On a time-dependent fluid-solid coupling in 3D with nonstandard boundary conditions. Steps towards modeling blood flow ⋮ Equatorial wave-current interactions

Cites Work

• Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain
• On the Navier-Stokes equations in non-cylindrical domains: On the existence and regularity
• On the Navier-Stokes equations in noncylindrical domains
• An analysis of a mixed finite element method for the Navier-Stokes equations
• On the existence of periodic weak solutions of Navier-Stokes equations in regions with periodically moving boundaries
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item