On the Boltzmann equation, quantitative studies and hydrodynamical limits

The present thesis deals with the mathematical treatment of kinetic theory and focuses more precisely on the Boltzmann equation. We investigate several properties of the solutions to the latter equation: their positivity and their hydrodynamical limits for instance. We also study the local Cauchy problem for a quantic version of the Boltzmann equation.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2014

Author dc:creator

• Briant, Marc

• Boltzmann equation
• Hydrodynamical limit
• Boltzmann-Nordheim equation

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/a2e44c45-caf3-4537-85c7-bc676706dda9/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

en

DOI dc:identifier.doi

https://doi.org/10.17863/CAM.16234

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/246471