L-INFINITY STABILITY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN R(3) WITH SINGULAR INITIAL DATA IN MORREY SPACES

[摘要] In this paper we study the L(infinity) stability of weak solutions of the Navier-Stokes equations when the initial data is a measure belonging to a suitable Morrey space. It is also assumed that these measures are sufficiently small in the corresponding norms. The physically relevant cases of vortex filament, vortex ring and vortex sheet structure of vorticity are included in this analysis. (C) 1994 Academic Press, Inc.

[发布日期] 1994-10-15