Minimization Problems in L1(R3).

Abstract

In this paper, minimization problems in L1(IR3) 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)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA099354

Entities

People

  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Mechanics
  • Geometry
  • Inequalities
  • Mathematics
  • Mechanics
  • Nonlinear Analysis
  • Partial Differential Equations
  • Quantum Mechanics
  • Sequences
  • Theorems
  • United States
  • Variational Methods
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space