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Analysis of the stationary solutions for initial boundary value problem of nonlocal parabolic equation of plasma physics
2010
Journal:  
The Bulletin of Irkutsk State University Series Mathematics
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Abstract:

The methods of nonlinear functional analysis, we study the properties stationary solutions of initial-boundary value problem for nonlinear nonlocal second order parabolic equation with implicit degeneration. This equation arises in the mathematical simulation of diffusion limited plasma across the magnetic field and its equilibrium configurations in the installation type tokamak. Problem of stabilization of nonstationary solutions to stationary reduced to study of the solvability of nonlinear boundary value problem with nonlocal (integral) operators. Sufficient conditions parameters studied integrodifferential boundary value problem ensure the existence and uniqueness of its classical solutions, for which structurally built area of attraction.

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The Bulletin of Irkutsk State University Series Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 601
Cite : 1
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The Bulletin of Irkutsk State University Series Mathematics