Accession Number : AD0266672

Title :   ON PROBABILITY MEASURES RELATED TO THE NAVIER-STOKES EQUATIONS IN THE 3-DIMENSIONAL CASE

Corporate Author : TRIESTE UNIV (ITALY)

Personal Author(s) : PRODI,GIOVANNI

Report Date : 28 JUL 1961

Pagination or Media Count : 1

Abstract : For the Navier Stokes system in 3-dimensional case, no theorem is known about existence and uniqueness in the large. The notion of halfinvariant measure, based on the only prerequisite of a local existence and uniqueness theorem is introduced. Under certain hypothesis for a halfinvariant measure, the existence and uniqueness theorem holds for almost all initial values, and the measure is invariant. The research is concluded by giving two criteria for the existence of half-invariant measures. (Author)

Descriptors :   *MEASURE THEORY, *PARTIAL DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS, PROBABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE