On the Formation of Singularities in Magnetohydrodynamic Waves
β Scribed by M.A. Rammaha
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 376 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The waves considered here are solutions of a first-order strictly hyperbolic system of differential equations, written in the form \* This work was performed at the Courant Institute and supported by the Office of Naval Research under Contract No. N00014-67-A-0467-0030. Reproduction in whole or in p
## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with smallβamplitude 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