A new energy inequality and partial regularity for weak solutions of Navier-Stokes equations

DOI10.1007/PL00000963zbMath0991.35060OpenAlexW2046917739MaRDI QIDQ5943910

Takeyuki Nagasawa

Publication date: 28 August 2002

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

Full work available at URL: https://doi.org/10.1007/pl00000963

zbMATH Keywords

Navier-Stokes equationsenergy inequalityLeray-Hopf weak solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items

Navier-Stokes equations: a new estimate of a possible gap related to the energy equality of a suitable weak solution ⋮ Some new properties of a suitable weak solution to the Navier-Stokes equations ⋮ On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force ⋮ On the Navier-Stokes equations with temperature-dependent transport coefficients ⋮ On the dynamics of gaseous stars ⋮ On a class of physically admissible variational solutions to the Navier-Stokes-Fourier system ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems