Abstract | ||
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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 |
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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. Spiga | 1 | 3 | 2.97 |
Giuseppe Toscani | 2 | 138 | 24.06 |