WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR A SPACE-DEPENDENT ANYON BOLTZMANN EQUATION

被引：4

作者：

Arkeryd, Leif ^{[1
]}

Nouri, Anne ^{[2
]}

机构：

[1] Chalmers, Math Sci, S-41296 Gothenburg, Sweden

[2] Aix Marseille Univ, CNRS, Cent Marseille, UMR 7373 I2M, F-13453 Marseille, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2015年 / 47卷 / 06期

关键词：

anyon; Haldane statistics; low temperature kinetic theory; quantum Boltzmann equation; FOURIER INTEGRAL-OPERATORS; BOSE-EINSTEIN PARTICLES; FERMI-DIRAC PARTICLES; FRACTIONAL-STATISTICS; WEAK SOLUTIONS; COMPACTNESS;

D O I：

10.1137/15M1012335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully nonlinear kinetic Boltzmann equation for anyons is studied in a periodic one-dimensional setting with large initial data. Strong L-1 solutions are obtained for the Cauchy problem. The main results concern global existence, uniqueness, and stability. We use the Bony functional, the two-dimensional velocity frame specific for anyons, and an initial layer analysis that moves the solution away from a critical value.

引用

页码：4720 / 4742

页数：23

共 19 条

[1] A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem [J].