𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Mathematical analysis of the nonlinear model for the vibrations of a string

✍ Scribed by Marivaldo Pereira Matos

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
689 KB
Volume
17
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Formation of singularities for wave equa
Formation of singularities for wave equations including the nonlinear vibrating string
✍ Sergiu Klainerman; Andrew Majda πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 726 KB

## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with small‐amplitude periodic initial data always develop singularities in the second derivatives in finite time. One consequence of these results is the fact that all solutions of the