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- Title
Solvability of nonlinear boundary-value problems arising in modeling plasma diffusion across a magnetic field and its equilibrium configurations.
- Authors
Rudykh, G. A.; Sinitsyn, A. V.
- Abstract
We study the simplest one-dimensional model of plasma density balance in a tokamak type system, which can be reduced to an initial boundary-value problem for a second-order parabolic equation with implicit degeneration containing nonlocal (integral) operators. The problem of stabilizing nonstationary solutions to stationary ones is reduced to studying the solvability of a nonlinear integro-differential boundary-value problem. We obtain sufficient conditions for the parameters of this boundary-value problem to provide the existence and the uniqueness of a classical stationary solution, and for this solution we obtain the attraction domain by a constructive method.
- Subjects
BOUNDARY value problems; DIFFERENTIAL equations; TRAPPED-particle instabilities; TOKAMAKS; FERROMAGNETIC materials; MAGNETIC domain; CONFIGURATION space; EQUILIBRIUM
- Publication
Mathematical Notes, 2005, Vol 77, Issue 1/2, p199
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0021-3