FINAL REPORT. MACROSCOPIC MAGNETO-FLUID DYNAMICS ,

Abstract

A general program was undertaken to understand the mathematical structure and content of the basic equations of the subject, paying special attention to nonstandard mathematical problems which arise. The steady flow past a wedge was studied. The Mach cones in three dimensions were computed and found to be extremely singular. The flow past an airfoil, governed at certain intermediate speeds by a fourth order 'composite' system which is partly elliptic and partly hyperbolic, was studied. An extensive existence theory of the linear Boltzmann equation was developed using newly discovered estimates for the Boltzmann collison operator. Also, a detailed study of wave propagation using normal modes was made.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0605532

Entities

People

  • Harold Grad
  • J. Berkowitz

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Composite Materials
  • Dynamics
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Physics
  • Steady Flow
  • Wave Propagation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.