Published February 2020
| Submitted
Journal Article
Open
Exponential convergence to the Maxwell distribution of solutions of spatially inhomogeneous Boltzmann equations
- Creators
- Gang, Zhou
Abstract
We consider the rate of convergence of solutions of spatially inhomogeneous Boltzmann equations, with hard-sphere potentials, to some equilibriums, called Maxwellians. Maxwellians are spatially homogeneous static Maxwell velocity distributions with different temperatures and mean velocities. We study solutions in weighted space L¹ (R³×T³). The result is that, assuming the solution is sufficiently localized and sufficiently smooth, then the solution, in L¹-space, converges to a Maxwellian, exponentially fast in time.
Additional Information
© 2020 World Scientific Publishing Company. Received 1 September 2016; Revised 13 June 2019; Accepted 16 June 2019; Published 1 August 2019. Partly supported by NSF grants DMS-1308985 and DMS-1443225.Attached Files
Submitted - 1603.06642.pdf
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Additional details
- Eprint ID
- 101614
- DOI
- 10.1142/s0129055x20500014
- Resolver ID
- CaltechAUTHORS:20200227-103331364
- DMS-1308985
- NSF
- DMS-1443225
- NSF
- Created
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2020-02-27Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field