Accession Number:

ADA099354

Title:

Minimization Problems in L1(R3).

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-03-01

Pagination or Media Count:

60.0

Abstract:

In this paper, minimization problems in L1IR3 are considered. These problems arise in astrophysics for the determination of equilibrium configurations of axially symmetric rotating fluids rotating stars. Under nearly optimal assumptions a minimizer is proved to exist by a direct variational method, which uses heavily the symmetry of the problem in order to get some compactness. Finally, by looking directly at the Euler equation, we give some existence results of solutions of the Euler equation even if the infimum is not finite. Author

Subject Categories:

  • Astrophysics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE