L1 contraction property for a Boltzmann equation with Pauli statistics
✍ Scribed by Antoine Mellet; Benoı̂t Perthame
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 44 KB
- Volume
- 335
- Category
- Article
- ISSN
- 1631-073X
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📜 SIMILAR VOLUMES
We obtain the solution of the nonlinear Boltzmann equation for a spatially homogeneous mixture of L gases, consisting of Maxwell particles. We include removal and self-generation effects in presence of a time-dependent external force. The solution is given as a generalized Laguerre expansion, within
In this paper, a criterion is given for assuring that a linear positive contraction C0-semigrou p defined on an Ll-space is generated by the closure of A + B, A and B being suitable unbounded linear operators. Furthermore, this criterion is applied to the transport equation, Kolmogorov's differentia