Special global regular solutions to the Navier-Stokes equations

DOI10.1007/s10958-009-9456-5zbMath1179.35229OpenAlexW2101805038MaRDI QIDQ1037181

Wojciech M. Zajączkowski

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9456-5

zbMATH Keywords

slip boundary conditionsprolongationmethod of successive approximations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

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• On cylindrical symmetric flows through pipe-like domains
• Stability of 2D incompressible flows in \(\mathbb R^3\)
• Large time regular solutions to the Navier-Stokes equations in cylindrical domains
• Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• Global regular solutions to the Navier-Stokes equations in a cylinder
• Some global regular solutions to Navier–Stokes equations
• Global attractor for Navier–Stokes equations in cylindrical domains
• Global existence for the inflow-outflow problem for the Navier–Stokes equations in a cylinder
• Stability of Constant Solutions to the Navier–Stokes System in R³
• Long time existence of regular solutions to Navier–Stokes equations in cylindrical domains under boundary slip conditions
• On existence of solutions for the nonstationary Stokes system with boundary slip conditions
• Global existence of axially symmetric solutions to Navier–Stokes equations with large angular component of velocity
• Global attractor for the Navier–Stokes equations with the heat convection in a cylindrical pipe
• Existence of solutions to the nonstationary Stokes system in H_-μ^2,1, μ∈(0,1), in a domain with a distinguished axis. Part 1. Existence near the axis in 2d
• Existence of solutions to the nonstationary Stokes system in H_-μ^2,1, μ∈(0,1), in a domain with a distinguished axis. Part 2. Estimate in the 3d case
• Global regular nonstationary flow for the Navier–Stokes equations in a cylindrical pipe
• Stability of nontrivial solutions of the Navier-Stokes system on the three-dimensional torus

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