Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
Journal article, 2015
A fully non-linear kinetic Boltzmann equation for anyons
is studied in a periodic 1d setting with large initial data.
Strong L1 solutions are obtained for the Cauchy problem.
The main results concern global existence, uniqueness,
conservation of mass, momentum and energy, and stability.
quantum Boltzmann equation
Haldane statistics
anyon
low temperature kinetic theory
Author
Leif Arkeryd
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Anne Nouri
Institut de Mathematiques de Marseille
SIAM Journal on Mathematical Analysis
0036-1410 (ISSN) 10957154 (eISSN)
Vol. 47 6 4720-4742Areas of Advance
Nanoscience and Nanotechnology
Subject Categories
Computational Mathematics
Roots
Basic sciences
DOI
10.1137/15M1012335
Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University: 2014:16