On cylindrical symmetric flows through pipe-like domains

DOI10.1016/j.jde.2004.03.007zbMath1057.35032OpenAlexW1980240054MaRDI QIDQ596599

Piotr Bogusław Mucha

Publication date: 10 August 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.007

zbMATH Keywords

Navier-Stokes equationsHölder spacessubharmonic functionsweighted estimatesInhomogeneous boundary datalarge data and fluxsubharmonic analysis

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

On the steady compressible Navier-Stokes-Fourier system ⋮ Nonstationary flow for the Navier-Stokes equations in a cylindrical pipe ⋮ Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions ⋮ Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions ⋮ Analysis of semidiscretization of the compressible Navier-Stokes equations ⋮ Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid ⋮ WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS ⋮ On an inhomogeneous slip-inflow boundary value problem for a steady flow of a viscous compressible fluid in a cylindrical domain ⋮ Special global regular solutions to the Navier-Stokes equations ⋮ On the existence of traveling waves in the 3D Boussinesq system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions to some elliptic system in Sobolev spaces with the weight as a power of the distance from some axis
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Inhomogeneous boundary value problems for the three-dimensional evolutionary Navier-Stokes equations
• Stationary Solutions of Compressible Navier–Stokes Equations with Slip Boundary Conditions
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• On the inviscid limit of the Navier–Stokes equations for flows with large flux
• The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition
• On imbedding theorems for weighted anisotropic Sobolev spaces

This page was built for publication: On cylindrical symmetric flows through pipe-like domains