Instationary Navier-Stokes equations and parabolic systems

Wolf von Wahl

Vol. 72 (1977), No. 2, 557–569

DOI: 10.2140/pjm.1977.72.557

Abstract

This paper mainly deals with instationary Navier-Stokes equations in two space dimensions. We derive the regularity results which are known to be valid for the corresponding linear system. Moreover, our method applies to parabolic semilinear systems with one-sided conditions.

Mathematical Subject Classification 2000

Primary: 35Q10, 35Q10

Secondary: 35K55

Milestones

Received: 24 December 1974

Published: 1 October 1977