On partial regularity results for the navier‐stokes equations
- 1 June 1988
- journal article
- research article
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 41 (4) , 437-458
- https://doi.org/10.1002/cpa.3160410404
Abstract
Looking at the regularity results of Scheffer, respectively, Caffarelli, Kohn and Nirenberg from a new point of view indicates that estimates for the pressure do not play an essential role in partial regularity results for the Navier‐Stokes equations.Keywords
This publication has 14 references indexed in Scilit:
- Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes systemPublished by Elsevier ,2004
- On the regularity of the pressure of weak solutions of Navier-Stokes equationsArchiv der Mathematik, 1986
- A solution to the Navier-Stokes inequality with an internal singularityCommunications in Mathematical Physics, 1985
- Partial regularity of suitable weak solutions of the navier‐stokes equationsCommunications on Pure and Applied Mathematics, 1982
- Stationary solutions to the Navier-Stokes equations in dimension fourMathematische Zeitschrift, 1979
- Partial regularity of solutions to the Navier-Stokes equationsPacific Journal of Mathematics, 1976
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions IICommunications on Pure and Applied Mathematics, 1964
- On the interior regularity of weak solutions of the Navier-Stokes equationsArchive for Rational Mechanics and Analysis, 1962
- Interior regularity of weak solutions of the time-dependent Navier-Stokes equationProceedings of the Japan Academy, Series A, Mathematical Sciences, 1960
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmetMathematische Nachrichten, 1950