Accession Number:

AD0744330

Title:

A Priori Bounds for Some Bifurcation Problems in Fluid Dynamics.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Rabinowitz,Paul H.

Report Date:

1972-04-01

Pagination or Media Count:

30.0

Abstract:

A priori bounds are obtained for some bifurcation problems in fluid dynamics, in particular for the Taylor and the usual Benard problem as well as the generalization of the latter to the case where there is an external magnetic field. It is also shown how the bounds can be used to obtain existence results. Author

Descriptors:

• (*FLUID FLOW
• FUNCTIONAL ANALYSIS)
• INEQUALITIES
• INTEGRALS
• INTERPOLATION
• CONVECTION(HEAT TRANSFER)
• MAGNETIC FIELDS
• NAVIER STOKES EQUATIONS

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE