An investigation on the break-down 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)