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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Spectral gap for the Kac model with hard sphere collisions

Participants in the publication
Eric A. Carlen (Author)
RUTGERS UNIVERSITY
Maria C. Carvalho (Author)
Dep. Matemática
CMAF - Centro de Matemática e Aplicações Fundamentais 
Michael Loss (Author)

Scope
International

Refereeing
Yes

Summary
We prove the analog of the Kac conjecture for hard sphere collisions, giving a computable, close estimate on the spectral gap that is independent of the number of particles. Previous work has focused on the case in which the collision rates are independent of the particle velocities, the case of so-called Maxwellian molecules. The new methods introduced here allow us to deal with collision rates that are not bounded from below. We also obtain information on the structure of the gap eigenfunction.

Date of Publication
2014-02-01

Where published
Journal of Functional Analysis

Publication Identifiers
ISSN - 0022-1236

Publisher
Elsevier BV

Volume
266
Number
3

Number of pages
45
Starting page
1787
Last page
1832

Document Identifiers
DOI - https://doi.org/10.1016/j.jfa.2013.08.024
URL - http://dx.doi.org/10.1016/j.jfa.2013.08.024

Keywords
Spectral gap Kinetic theory


Export

APA
Eric A. Carlen, Maria C. Carvalho, Michael Loss, (2014). Spectral gap for the Kac model with hard sphere collisions. Journal of Functional Analysis, 266, 1787-1832. ISSN 0022-1236. eISSN . http://dx.doi.org/10.1016/j.jfa.2013.08.024

IEEE
Eric A. Carlen, Maria C. Carvalho, Michael Loss, "Spectral gap for the Kac model with hard sphere collisions" in Journal of Functional Analysis, vol. 266, pp. 1787-1832, 2014. 10.1016/j.jfa.2013.08.024

BIBTEX
@article{44720, author = {Eric A. Carlen and Maria C. Carvalho and Michael Loss}, title = {Spectral gap for the Kac model with hard sphere collisions}, journal = {Journal of Functional Analysis}, year = 2014, pages = {1787-1832}, volume = 266 }