Gang, Zhou (2020) Exponential convergence to the Maxwell distribution of solutions of spatially inhomogeneous Boltzmann equations. Reviews in Mathematical Physics, 32 (1). Art. No. 2050001. ISSN 0129-055X. doi:10.1142/s0129055x20500014. https://resolver.caltech.edu/CaltechAUTHORS:20200227-103331364
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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.
| Item Type: | Article | |||||||||
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| 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. | |||||||||
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| Subject Keywords: | Boltzmann equation; Maxwelliana; symptotic | |||||||||
| Issue or Number: | 1 | |||||||||
| Classification Code: | Mathematics Subject Classification 2010: 76P05, 35Q70 | |||||||||
| DOI: | 10.1142/s0129055x20500014 | |||||||||
| Record Number: | CaltechAUTHORS:20200227-103331364 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200227-103331364 | |||||||||
| Official Citation: | Exponential convergence to the Maxwell distribution of solutions of spatially inhomogeneous Boltzmann equations. Zhou Gang. Reviews in Mathematical Physics 2020 32:01; doi: 10.1142/s0129055x20500014 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 101614 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 27 Feb 2020 19:32 | |||||||||
| Last Modified: | 16 Nov 2021 18:04 |
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