Leif Arkeryd

Professor emeritus at Chalmers, Mathematical Sciences

My research in mathematics is nowadays mainly focused on low temperature physics, and in particular many particle systems in a kinetic perspective.

Source: chalmers.se

Showing 36 publications

2018

On a Boltzmann equation for Haldane statistics

Anne Nouri, Leif Arkeryd
Kinetic and Related Models. Vol. 12 (2)
Journal article
2017

On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation

Leif Arkeryd, Anne Nouri
Communications in Mathematical Sciences. Vol. 15 (5), p. 1247-1264
Journal article
2017

On the Cauchy problem with large data for the space-dependent Boltzmann Nordheim equation III

Leif Arkeryd
arXiv (1801.02494), p. 20-
Magazine article
2015

Bose condensates in interaction with excitations - a two-component space-dependent model close to equilibrium

Leif Arkeryd, Anne Nouri
Journal of Statistical Physics. Vol. 160 (1), p. 209-238
Journal article
2015

Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation

Leif Arkeryd, Anne Nouri
SIAM Journal on Mathematical Analysis. Vol. 47 (6), p. 4720-4742
Journal article
2014

A kinetic equation for spin polarized Fermi systems

Leif Arkeryd
Kinetic and Related Models. Vol. 7 (1), p. 1-8
Journal article
2013

On low temperature kinetic theory; spin diffusion, Bose Einstein condensates, anyons

Leif Arkeryd
Journal of Statistical Physics. Vol. 150 (6), p. 1063-1979
Journal article
2013

A Milne problem from a Bose condensate with excitations

Leif Arkeryd, Nouri Anne
Kinetic and Related Models. Vol. 6 (4), p. 671-686
Journal article
2012

Bose condensates in interaction with excitations : a kinetic model

Leif Arkeryd, A. Nouri
Communications in Mathematical Physics. Vol. 310 (3), p. 765-788
Journal article
2012

Exponential stability of the solutions to the Boltzmann equation for the Benard problem

Leif Arkeryd, R. Esposito, R. Marra et al
Kinetic and Related Models. Vol. 5 (4), p. 673-695
Journal article
2011

Ghost effect by curvature in planar Couette flow

Leif Arkeryd, R. Esposito, R. Marra et al
Kinetic and Related Models. Vol. 4 (1), p. 109-138
Journal article
2010

Stability for Rayleigh-Benard convective solutions of the Boltzmann equation

Leif Arkeryd, R. Esposito, R. Marra et al
Archive for Rational Mechanics and Analysis. Vol. 198 (1), p. 125-187
Journal article
2010

A quantum Boltzmann equation for Haldane statistics and hard forces; the space-homogeneous initial value problem

Leif Arkeryd
Communications in Mathematical Physics. Vol. 298 (2), p. 573-583
Journal article
2008

Stability of the laminar solution of the Boltzmann equation for the Benard problem

Leif Arkeryd, A. Nouri, R. Esposito et al
Bulletin of the Institute of Mathematics Academia Sinica. Vol. 3 (1), p. 51-97
Journal article
2008

Stability for Rayleigh-Benard convective solutions of the Boltzmann equation

Leif Arkeryd, R. Esposito, R. Marra et al
Preprint
2007

Asymptotic techniques for kinetic problems of Boltzmann type

Leif Arkeryd, A. Nouri
Rivista Matematica Universita di Parma. Vol. 6, p. 1-74
Journal article
2007

Book review; Molecular gas dynamics by Y Sone

Leif Arkeryd
Transport theory and statistical physics. Vol. 36 (7), p. 609-610
Journal article
2006

On a Taylor-Couette Type Bifurcation for the Stationary Nonlinear Boltzmann Equation

Leif Arkeryd, A. Nouri
Journal of Statistical Physics. Vol. 124 (2-4), p. 401-443
Journal article
2005

On stationary kinetic systems of Boltzmann type and their fluid limits

Leif Arkeryd
Banach Center Publications. Vol. 66, p. 13-27
Journal article
2005

Rigorous infinitesimals

Leif Arkeryd
American Mathematics Monthly. Vol. 112, p. 926-928
Journal article
2005

A large data existence result for the stationary Boltzmann equation in a cylindrical geometry

Leif Arkeryd, A. Nouri
Arkiv för Matematik. Vol. 43, p. 29-50
Journal article
2005

The stationary nonlinear Boltzmann equation in a Couette setting

Leif Arkeryd, A. Nouri
Journal of Statistical Physics. Vol. 118, p. 849-881
Journal article
2004

Analiza niestandardowa

Leif Arkeryd
Delta. Vol. 7, p. 12-13
Journal article
1999

Initial-boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type.

Alexey Geynts, Leif Arkeryd
Transport Theory and Statistical Physics. Vol. 28 (2), p. 105-134.
Journal article
1999

On the stationary oltzmann equation in Rn

Leif Arkeryd
Preprint
1998

On the stationary Povzner equation in Rn

Leif Arkeryd, A. Nouri
Preprint
1997

On the solvability and asymptotics of the Boltzmann equation in irregular domains.

Alexey Geynts, Leif Arkeryd
Communications in Partial Differential Equations. Vol. 22 (11-12), p. 2129-2152
Journal article
1996

An inequality in kinetic theory

Leif Arkeryd
Preprint

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