Accession Number : AD0665984

Title :   ON A NONLINEAR VIBRATING STRING.

Descriptive Note : Doctoral thesis,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Johnson,Gary D.

Report Date : 1967

Pagination or Media Count : 129

Abstract : A nonlinear vibrating string equation is obtained from a careful derivation of the (linear) wave equation. The problem is shown to be not well-posed by construction of arbitrarily smooth initial data such that a singularity in the solution is produced, say at time t = T sub b. A result from the theory of monotone operators is used to obtain a lower bound of T sub b for a large class of initial data. (Author)

Descriptors :   (*VIBRATION, NONLINEAR SYSTEMS), CONTINUUM MECHANICS, PERIODIC VARIATIONS, BOUNDARY VALUE PROBLEMS, CAUCHY PROBLEM, PARTIAL DIFFERENTIAL EQUATIONS, SET THEORY, THEOREMS, THESES

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE