2 citations · 7 across the 9 of their papers we have counts for
10 papers
Discrete velocity Boltzmann equation in the plane: stationary solutions
Leif Arkeryd, Anne Nouri
The paper proves existence of mild solutions to normal discrete velocity Boltzmann equations sin the plane with no pair of colinear interacting velocities, and given ingoing bounda…
Stationary solutions to the two-dimensional Broadwell model
L. Arkeryd, A. Nouri
Existence of renormalized solutions to the two-dimensional Broadwell model with given indata in L1 is proven. Averaging techniques from the continuous velocity case being unavailab…
On the Cauchy problem with large data for the space-dependent Boltzmann Nordheim equation III
L. Arkeryd, A. Nouri
This paper studies the quantum Boltzmann Nordheim equation from a Boltzmann equation for Haldane statistics. Strong solutions are obtained for the Cauchy problem with initial data…
On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation II
Leif Arkeryd, Anne Nouri
This paper studies a space-inhomogeneous Boltzmann-Nordheim equation with pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem in a setting with large bou…
On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation
L. Arkeryd, A. Nouri
This paper studies a Boltzmann-Nordheim equation in a slab with two-dimensional velocity space and pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem wi…
Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
L. Arkeryd, A. Nouri
A fully non-linear kinetic Boltzmann equation for anyons and large initial data is studied in a periodic 1d setting. Strong L1 solutions are obtained for the Cauchy problem. The ma…
Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium
L. Arkeryd, A. Nouri
The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear t…
A kinetic equation for spin polarized Fermi systems
L. Arkeryd
This paper a kinetic Boltzmann equation having a general type of collision kernel and modelling spin-dependent Fermi gases at low temperatures modelled by a kinetic equation of Bol…
Ghost effect by curvature in planar Couette flow
Leif Arkeryd, Raffaele Esposito, Rossana Marra +1
We study a rarefied gas, described by the Boltzmann equation, between two coaxial rotating cylinders in the small Knudsen number regime. When the radius of the inner cylinder is su…
Stability for Rayleigh-Benard convective solutions of the Boltzmann equation
L. Arkeryd, R. Esposito, R. Marra +1
We consider the Boltzmann equation for a gas in a horizontal slab, subject to a gravitational force. The boundary conditions are of diffusive type, specifying the wall temperatures…