On the Probability measures related to the Navier-Stokes equations in the 3-dimensional case /
Giovanni Prodi, Mathematical Institute, University of Trieste, Trieste, Italy.

Description

Main Author

Prodi, G. (Giovanni), 1925-

Related Names

United States. Air Force.
Universit©Ła degli studi di Trieste.

Language(s)

English

Published

[Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961.

Subjects

Navier-Stokes equations.
Measure theory.
Statistics.
Probabilities.
Navier-Stokes equations.
Differential equations, Partial.
Measure theory.

Summary

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.

Note

Research supported by the United States Air Force through the European Office Air Research and Development Command, and performed by the University of Trieste, Italy.
AD0266672. (from http://www.dtic.mil).
Contract Nr. AF 61(052)-414.
Technical Note Nr. 2.
"July 28, 1961."

Physical Description

[1], 48 pages ; 25 cm.

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