On the Cauchy Problem for the Homogeneous Boltzmann–Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments
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Authors
Briant, M
Einav, Amit
Publication Date
2016-06-01Journal Title
Journal of Statistical Physics
ISSN
0022-4715
Publisher
Springer
Volume
163
Issue
5
Pages
1108-1156
Language
English
Type
Article
Metadata
Show full item recordCitation
Briant, M., & Einav, A. (2016). On the Cauchy Problem for the Homogeneous Boltzmann–Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments. Journal of Statistical Physics, 163 (5), 1108-1156. https://doi.org/10.1007/s10955-016-1517-9
Abstract
© 2016, Springer Science+Business Media New York. The Boltzmann–Nordheim equation is a modification of the Boltzmann equation, based on physical considerations, that describes the dynamics of the distribution of particles in a quantum gas composed of bosons or fermions. In this work we investigate the Cauchy theory of the spatially homogeneous Boltzmann–Nordheim equation for bosons, in dimension d⩾ 3. We show existence and uniqueness locally in time for any initial data in L∞(1 + |v|s) with finite mass and energy, for a suitable s, as well as the instantaneous creation of moments of all order.
Sponsorship
EPSRC (EP/L002302/1)
EPSRC (EP/H023348/1)
Identifiers
External DOI: https://doi.org/10.1007/s10955-016-1517-9
This record's URL: https://www.repository.cam.ac.uk/handle/1810/255110
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