Accession Number:

ADA093574

Title:

Elementary Proofs of an Inequality for Symmetric Functions for n < or = 5.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-08-01

Pagination or Media Count:

18.0

Abstract:

Some aspects of the heat transfer in the emergency cooling of nuclear reactors lead to a nonlinear eigenvalue problem, the so-called model quelch front problem. Laquer and Wendroff suggested a procedure for computing bounds of the eigenvalue which depend - among other things - on the validity of a certain inequality for elementary symmetric functions. This inequality is of interest in itself and was recently proved by Efroymson, Swartz and Wendroff using a fairly complicated argument. We give an elementary proof for n or 5.

Subject Categories:

  • Theoretical Mathematics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE