The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition

DOI10.1017/S0308210500000457zbMath0962.35136OpenAlexW2030139579MaRDI QIDQ4507992

Atusi Tani, Shigeharu Itoh

Publication date: 5 June 2001

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500000457

zbMATH Keywords

a priori estimatesglobal strong solutionslip boundary conditionsnon-homogeneous Navier-Stokes equationslocal strong solutionHölder estimates of the density

Mathematics Subject Classification ID

Related Items (12)

Global well-posedness to the Cauchy problem of two-dimensional nonhomogeneous heat conducting Navier-Stokes equations ⋮ ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS ⋮ Navier's slip problem for motion of inhomogeneous incompressible fluid-like bodies ⋮ On cylindrical symmetric flows through pipe-like domains ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous Navier–Stokes equations with density-dependent viscosity and large initial velocity ⋮ Regularity for the Navier--Stokes equations with slip boundary condition ⋮ Pressure representation and boundary regularity of the Navier-Stokes equations with slip boundary condition ⋮ Uniform regularity for the incompressible Navier-Stokes system with variable density and Navier boundary conditions ⋮ Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat conducting Navier–Stokes equations ⋮ STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS ⋮ Steady-state solutions to the equations of motion of second-grade fluids with general Navier type slip boundary conditions in Hölder spaces ⋮ Steady solution and its stability for Navier-Stokes equations with general Navier slip boundary condition

This page was built for publication: The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition