06-215 Armen Shirikyan

Qualitative properties of stationary measures for three-dimensional Navier-Stokes equations (451K, Postscript) Aug 2, 06

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. The paper is devoted to studying the distribution of stationary solutions for 3D Navier-Stokes equations perturbed by a random force. Under a non-degeneracy assumption, we show that the support of such a distribution coincides with the entire phase space, and its finite-dimensional projections are minorised by a measure possessing an almost surely positive smooth density with respect to the Lebesgue measure. Similar assertions are true for weak solutions of the Cauchy problem with a regular initial function.

Files: 06-215.src( 06-215.comments , 06-215.keywords , article.ps )