Stationary transport processes with unbounded collision operators (Q801274)
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scientific article; zbMATH DE number 3877835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stationary transport processes with unbounded collision operators |
scientific article; zbMATH DE number 3877835 |
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Stationary transport processes with unbounded collision operators (English)
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1984
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The authors study the following abstract version of the stationary one- dimensional transport equation: \[ d(Tf)/d\bar{\bar x}=-(Af)(\bar{\bar x}),\quad 0<\bar{\bar x}<+\infty;\quad (Q_+f)(0)=f_+, \] where T, A are self-adjoint operators on a Hilbert space and \(Q_+\) is maximal positive projection associated with T. They announce an existence and uniqueness theory which covers many interesting particular cases.
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rarefied gas flows
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Boltzmann equation
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stationary one-dimensional transport equation
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self-adjoint operators on a Hilbert space
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maximal positive projection
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existence and uniqueness
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