An example where separation of variables fails
✍ Scribed by Vassilis G. Papanicolaou
- Book ID
- 108178756
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 120 KB
- Volume
- 373
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The dynamical problem of a brake-like mechanical system composed of an elastic cylindrical tube with Coulomb's friction in contact with a rigid and rotating cylinder is considered. This model problem enables us to give an example of non-trivial periodic solutions in the form of stick-slip or stick-s
## Abstract Separation of variables is a well‐known technique for solving differential equations. However, it is seldom used in practical applications since it is impossible to carry out a separation of variables in most cases. In this paper, we propose the amplitude–shape approximation (ASA) which