Accession Number : AD0286397

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

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : KANWAL,RAM P.

Report Date : 09 SEP 1957

Pagination or Media Count : 1

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)

Descriptors :   *SHOCK WAVES, *TENSOR ANALYSIS, EQUATIONS, FUNCTIONS(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE