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On the linear transport equation for rigid spheres

 

作者: L. Arlotti,  

 

期刊: Transport Theory and Statistical Physics  (Taylor Available online 1988)
卷期: Volume 17, issue 2-3  

页码: 271-281

 

ISSN:0041-1450

 

年代: 1988

 

DOI:10.1080/00411458808230867

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We study the initial-value problem for the linear Maxwell-Boltzmann equation in the whole space, by supposing that the collision frequency and the integral operator are unbounded (rigid spheres; pure scatterer). Using the theory of the linear semigroups, we show that this problem has one and only one strong solution for any suitable initial datum. We finally show that the solution is non-negative if the initial datum is non-negative and that mass conservation holds.

 

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