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The dissipative linear boltzmann equation

✍ Scribed by G Spiga; G Toscani

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
396 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

Communicated by M. Slemrod

Abstract--We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kernel, it is shown that, if the initial distribution has finite temperature, the solution converges exponentially for large time to a Maxwellian profile drifting at the same velocity as field particles and with a universal nonzero temperature which is lower than the given background temperature. (~) 2004 Elsevier Ltd. All rights reserved.

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