Nonclassical boundary value problem for the transport equation |
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Authors: | E Yu Balakina |
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Institution: | 1.Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia |
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Abstract: | We consider a nonclassical boundary value problem for the transport equation. The particle transport process is described
by a stationary linear integro-differential equation, and the outgoing particle flux density on some part of the boundary
is specified as the boundary condition. We find the particle flux density for a given outgoing flux and known coefficients
of the equation. We show that, under some restrictions on the medium, there exists a unique solution of the problem, which
can be represented by an infinite convergent series. |
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Keywords: | |
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