Weak solution and approximate methods for the transport equation (Q1259895)
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scientific article; zbMATH DE number 3640826
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak solution and approximate methods for the transport equation |
scientific article; zbMATH DE number 3640826 |
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Weak solution and approximate methods for the transport equation (English)
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1979
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A boundary value problem for the linear Boltzmann equation describing the stationary neutron distribution in a reactor system is formulated in terms of a non-symmetric bilinear form. The existence and uniqueness of the solution is demonstrated. A family of approximate projectional methods is analyzed and it is shown that the corresponding approximate solutions converge in an appropriate norm to the exact one.
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Boltzmann equation
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stationary neutron distribution
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reactor system
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approximate projectional methods
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approximate solutions
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