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The solution of vibration equation of piano string by singular perturbation method

✍ Scribed by B.Z. Zheng; J. Bai; Y.Z. Niu; C.P. Li


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
260 KB
Volume
16
Category
Article
ISSN
0093-6413

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Formation of singularities for wave equa
✍ 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