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Is the linearized Boltzmann-Enskog operator dissipative?

โœ Scribed by M. Lachowicz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
185 KB
Volume
14
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, it is shown that the linearized Boltzmann-Enskog collision operator cannot be dissipative in the L2-space setting contrarily to the linearized Boltzmann operator. Some estimates useful for the spectral theory are given. (~) 2001 Elsevier Science Ltd. All rights reserved.

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## 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 s