EXISTENCE AND UNIQUENESS OF FLOWS BEHIND THREE-DIMENSIONAL STATIONARY AND PSEUDO-STATIONARY SHOCKS

Abstract

An attempt was made to show that the integration of the various conservation equations is equivalent to the solution of a Cauchy problem with the shock front as surface on which the initial data is given. By Cauchy-Kowaleski theorem it is proved that in a neighborhood of the shock the flow behind the shock exists and is uniquely determined. The paper is divided into two parts. The first part deals with the stationary flows, while the second part deals with the pseudostationary flows. The detailed analysis is given only for the stationary flows. Formal methods of tensor analysis are used throughout the paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 09, 1957
Accession Number
AD0286397

Entities

People

  • Ram P. Kanwal

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Linear Algebra
  • Mathematics
  • Stationary
  • Tensor Analysis
  • Tensors
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Mechanics and Fluid Dynamics.