Title
The dissipative linear boltzmann equation
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.
Year
DOI
Venue
2004
10.1016/S0893-9659(04)90066-3
Applied Mathematics Letters
Keywords
Field
DocType
Granular gases,Boltzmann-like dissipative equations,Long-time behavior
Kernel (linear algebra),Convection–diffusion equation,Linear equation,Boltzmann equation,Mathematical analysis,Dissipative system,Collision,Kernel method,Mathematics,Exponential growth
Journal
Volume
Issue
ISSN
17
3
0893-9659
Citations 
PageRank 
References 
3
0.94
0
Authors
2
Name
Order
Citations
PageRank
G. Spiga132.97
Giuseppe Toscani213824.06