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Formation of singularities in solutions of a wave equation

✍ Scribed by M.A. Salim

Book ID
104350207
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
245 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

We prove a blow up result for the equation wtt(x, t) = a(x)~o(wx(x, t))w,x(x, t), which can be taken as a model for a transverse motion of a string with nonconstant density. (~) 1999 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Singularities of a Variational Wave Equa
Singularities of a Variational Wave Equation
✍ Robert T. Glassey; John K. Hunter; Yuxi Zheng πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 782 KB

We analyze several aspects of the singular behavior of solutions of a variational nonlinear wave equation which models orientation waves in a massive nematic liquid crystal director field. We prove that smooth solutions develop singularities in finite time. We construct exact travelling wave solutio