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Transport equations with boundary conditions of reverse reflection type

✍ Scribed by G. Frosali; C. V. M. van der Mee; V. Protopopescu

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
926 KB
Volume
10
Category
Article
ISSN
0170-4214

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✦ Synopsis

A study is performed of transport equations on arbitrary three-dimensional domains with boundary conditions of reverse reflection type. The existence of the dominant eigenvalue of the criticality problem is proved and its independence of the functional setting and its continuous dependence on a variety of data are established. The corresponding time-dependent problem is shown to be well-posed, also for a conservative boundary. The relationship between the criticality and the time-dependent problem is given explicitly.

πŸ“œ SIMILAR VOLUMES

Spectral analysis of transport equations
Spectral analysis of transport equations with bounce-back boundary conditions
✍ K. Latrach; B. Lods πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

## Abstract 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, ma