Spectral analysis of transport equations with bounce-back boundary conditions
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چکیده
We investigate the spectral properties of the time-dependent linear transport equation with bounce-back boundary conditions. A fine analysis of the spectrum of the streaming operator is given and the explicit expression of the strongly continuous streaming semigroup is derived. Next, making use of a recent result from [1], we prove, via a compactness argument, that the essential spectrum of the transport semigroup and that of the streaming semigroup coincide on all L-spaces with 1 < p <∞.
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تاریخ انتشار 2017