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On the existence of the free-boundary for some problems arising in plasma physics

✍ Scribed by M.B. Lerena


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
218 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis


We study some conditions for the existence of a free-boundary for two di erent bidimensional models arising in the magnetic conΓΏnement of a plasma. We derive estimates on the size and location of the region surrounded by the free-boundary (known as plasma region) for both models. We also derive su cient conditions for the non-existence of the free-boundary.


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On a free-boundary problem arising in th
✍ Bui An Ton πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 530 KB

## Abstract The existence of a weak solution of a two‐dimensional non‐stationary free‐boundary problem related to flame propagation is established. The main feature of the problem is that the nonlinear coupling of the two parabolic equations occur on the free boundary and has exponential growth.