An investigation on the breakdown of solutions of models of nonlinear vibrating strings
Abstract
The mixed initial boundary value problem of the quasilinear wave equation is considered by applying methods of Riemann invariants. It is shown that a local existence theorem can satisfy some convexity conditions and that solution eventually breaks down in the sense that some second order derivatives of the solution become unbounded.
 Publication:

Ph.D. Thesis
 Pub Date:
 August 1975
 Bibcode:
 1975PhDT........44C
 Keywords:

 Nonlinear Equations;
 Problem Solving;
 Strings;
 Vibration Mode;
 Existence Theorems;
 Invariance;
 Riemann Waves;
 Wave Equations;
 Physics (General)