Accession Number : AD0691777

Title :   AVERAGED STATIONARY PRINCIPLES.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Bisshopp,Frederic ; Wilson,Raymond B.

Report Date : NOV 1968

Pagination or Media Count : 49

Abstract : Solutions of certain hyperbolic systems of nonlinear partial differential equations are discussed. For convenience only two independent variables are considered, namely x and t, and if the equations have coefficients which are independent of x and t one can seek plane wave solutions of the form f(kx-omega t), with k and omega constant. If the coefficients have only slow explicit dependence on x and t one no longer has plane wave solutions, but one can seek solutions in the form of almost plane waves, f(theta), where k(x,t) is identically equal to theta sub x, omega (x,t) is identically equal to minus theta sub t are slowly varying functions of x and t. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, PROBLEM SOLVING), (*NONLINEAR DIFFERENTIAL EQUATIONS, PROBLEM SOLVING), FOURIER ANALYSIS, NUMERICAL INTEGRATION, SERIES(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE