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

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 28, 1961
Accession Number
AD0266672

Entities

People

  • Giovanni Prodi

Organizations

  • University of Trieste

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Equations Of Motion
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Probability
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Regression Analysis.