We consider some types of boundary conditions for the streaming operator T in the radiation theory. First, we study the streaming operator in a finite convex body with diffuse reflection boundary conditions and with mixed type boundary conditions. In both cases, we prove that T is the generator of a strongly continuous semigroup, by assuming a suitable smoothness of a surface of the boundary. We also investigate the specular reflection boundary conditions. In this case, physical considerations suggest the form of the semigroup leading the evolution of the system. Finally, a complete description of the corresponding generator is given.

Streaming operators and semigroups / GIORGIO BUSONI; GIOVANNI FROSALI. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 14:(1979), pp. 119-128. [10.1007/BF02128504]

Streaming operators and semigroups

BUSONI, GIORGIO;FROSALI, GIOVANNI
1979

Abstract

We consider some types of boundary conditions for the streaming operator T in the radiation theory. First, we study the streaming operator in a finite convex body with diffuse reflection boundary conditions and with mixed type boundary conditions. In both cases, we prove that T is the generator of a strongly continuous semigroup, by assuming a suitable smoothness of a surface of the boundary. We also investigate the specular reflection boundary conditions. In this case, physical considerations suggest the form of the semigroup leading the evolution of the system. Finally, a complete description of the corresponding generator is given.
1979
14
119
128
GIORGIO BUSONI; GIOVANNI FROSALI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/381650
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