Point singularities of 3D stationary Navier-Stokes flows

DOI10.1007/s00021-010-0046-6zbMath1294.35071arXiv0810.2004OpenAlexW2121763658MaRDI QIDQ407413

Hideyuki Miura, Tai-Peng Tsai

Publication date: 1 September 2014

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2004

zbMATH Keywords

point singularitystationary Navier-Stokes equationsvery weak solutionLandau solution

Mathematics Subject Classification ID

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

Related Items (8)

On the existence of singular solutions of the stationary Navier-Stokes problem ⋮ Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data ⋮ Singularities of certain finite energy solutions to the Navier-Stokes system ⋮ Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle ⋮ Stability of singular solutions to the Navier-Stokes system ⋮ Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations ⋮ Removable time-dependent singularities of solutions to the Stokes equations ⋮ Time-dependent singularities in the Navier-Stokes system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-point singular solutions to the Navier-Stokes equations
• Smooth or singular solutions to the Navier-Stokes system?
• Isolated singularity for the stationary Navier-Stokes system
• Convolution operators and L(p, q) spaces
• A removable isolated singularity theorem for the stationary Navier-Stokes equations
• Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
• Isolated Singularities in Steady State Fluid Flow
• An Introduction to Fluid Dynamics
• On the spatial decay of 3-D steady-state navier-stokes flows
• Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains
• Isolated Singularities for Solutions of the Nonlinear Stationary Navier-Stokes Equations
• Removable Singularities of Solutions of the Navier-Stokes Equations
• On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain

This page was built for publication: Point singularities of 3D stationary Navier-Stokes flows