Accession Number : AD0469972

Title :   UNIFORMISATION OF A QUASI-LINEAR HYPERBOLIC EQUATION, PART I, THE FORMAL SOLUTION.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV-MADISON DEPT OF MATHEMATICS

Personal Author(s) : Meyer, Richard E.

Report Date : 30 MAR 1965

Pagination or Media Count : 42

Abstract : The Cauchy and characteristic boundary value problems for a typical system (Section 3) of homogeneous differential equations in two independent and two dependent variables are studied and a generalised 'formal' solution is established which (1) exists on the maximal domain of uniqueness and (2) is identical with the classical solution where that exists uniquely. The formal solution removes the obstacle which the limitations of the classical existence theorem puts in the way of a study of the solution structure. It is hoped that the understanding thus opened up will advance the study of the solutions of n conservation laws for n greater than 1. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS), (*BOUNDARY VALUE PROBLEMS, SPECIAL FUNCTIONS(MATHEMATICAL)), DIFFERENTIAL GEOMETRY, OCEAN BOTTOM TOPOGRAPHY, GAS FLOW, FLUID MECHANICS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE