On the nonstationary linearized Navier-Stokes problem in domains with cylindrical outlets to infinity

DOI10.1007/s00208-005-0632-8zbMath1096.35106OpenAlexW1985393717MaRDI QIDQ1779186

Konstantinas Pileckas

Publication date: 1 June 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0632-8

zbMATH Keywords

existenceuniqueness

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 (13)

Time periodic Navier-Stokes equations in a thin tube structure ⋮ Weak Neumann implies Stokes ⋮ Leray's problem for the nonstationary micropolar fluid flow ⋮ Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition ⋮ Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity ⋮ Non-Newtonian flows in domains with non-compact boundaries ⋮ Rigorous justification of the asymptotic model describing a curved‐pipe flow in a time‐dependent domain ⋮ Global solvability for a large flux of a three‐dimensional time‐dependent Navier–Stokes problem in a straight cylinder ⋮ On a non-stationary fluid flow problem in an infinite periodic pipe ⋮ Time-periodic Poiseuille flow in a pipe for some classes of fluids ⋮ Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case ⋮ On the time-periodic problem for the Stokes system in domains with cylindrical outlets to infinity ⋮ Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity

Cites Work

• On uniqueness questions in the theory of viscous flow
• On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries
• Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity
• Improved decay estimates in time-dependent Stokes flow.
• WEIGHTED L^q-SOLVABILITY OF THE STEADY STOKES SYSTEM IN DOMAINS WITH NONCOMPACT BOUNDARIES
• CLASSICAL SOLVABILITY AND UNIFORM ESTIMATES FOR THE STEADY STOKES SYSTEM IN DOMAINS WITH NONCOMPACT BOUNDARIES
• SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID
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