On the local vibrations for systems with many concentrated masses
✍ Scribed by Miguel Lobo; Eugenia Pérez
- Book ID
- 108488726
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 543 KB
- Volume
- 324
- Category
- Article
- ISSN
- 1251-8069
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## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as ∣__x__∣ → ∞. Thus, the total positive charge and the total
## Abstract We consider the vibrations of an elastic plate that contains a small region whose size depends on a small parameter __ε__. The density is of order __O__(__ε^–m^__) in the small region, the __concentrated mass__, and it is of order __O__(1) outside; __m__ is a positive parameter. The __t