Accession Number:

ADA277453

Title:

A Study of Weak Solutions and their Regularizations by Numerical Methods

Descriptive Note:

Final rept. 1 Jul 1992-30 Jun 1993

Corporate Author:

OHIO STATE UNIV COLUMBUS DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1993-06-30

Pagination or Media Count:

17.0

Abstract:

Consider the incompressible Euler equations with vortex sheet initial data. For this initial value problem, there are a number of outstanding conjectures This initial value problem does not have a unique weak or measure- valued solution, a selection principle is required to pick out a unique solution. The limit of vanishing viscosity in the Navier Stokes equations provides the correct selection principle, and different regularizations, such as adding viscosity or smoothing the initial vortex sheet, may converge to different limits as the regularization tends to zero.

Subject Categories:

  • Fluid Mechanics
  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE