CONSTRUCTION OF WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATION IN A NON-CYLINDRICAL DOMAIN.

Abstract

An existence theorem for time dependent solutions of the Navier-Stokes equation in regions bounded by moving boundaries is established by means of a new approximating procedure. This generalizes E. Hopf's result in 1951. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0681486

Entities

People

  • Hiroshi Fujita
  • Niko Sauer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Construction
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Mathematics
  • Navier Stokes Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.