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| 2. |
- Arkeryd, Leif, 1940
(author)
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A kinetic equation for spin polarized Fermi systems
- 2014
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In: Kinetic and Related Models (KRM). - : American Institute of Mathematical Sciences (AIMS). - 1937-5093 .- 1937-5077. ; 7:1, s. 1-8
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Journal article (peer-reviewed)abstract
- This paper considers a kinetic Boltzmann equation, having a gen- eral type of collision kernel and modelling spin-dependent Fermi gases at low temperatures. The distribution functions have values in the space of posi- tive hermitean 2 2 complex matrices. Global existence of weak solutions is proved in L 1 \ L 1 for the initial value problem of this Boltzmann equation in a periodic box
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| 4. |
- Arkeryd, Leif, 1940, et al.
(author)
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A Milne problem from a Bose condensate with excitations
- 2013
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In: Kinetic and Related Models. - : American Institute of Mathematical Sciences (AIMS). - 1937-5093 .- 1937-5077. ; 6:4, s. 671-686
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Journal article (peer-reviewed)abstract
- The paper deals with a half-space linearized problem for the distribution function of the excitations in a Bose gas close to equilibrium. Existence and uniqueness of the solution, as well as its asymptotic properties are proven for a given energy flow. The problem differs from the ones for classical Boltzmann and related equations, where the hydrodynamic mass flow along the half-line is constant. Here ist is no more constant. Omstead we use energy flow which is constant but no more hydrodynamic.
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| 5. |
- Arkeryd, Leif, 1940
(author)
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A quantum Boltzmann equation for Haldane statistics and hard forces; the space-homogeneous initial value problem
- 2010
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In: Communications in mathematical physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 298:2, s. 573-583
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Journal article (peer-reviewed)abstract
- The paper considers equations of Boltzmann type for Haldane exclusion statistics. Existence and some basic properties of the solutions are studied for the space homogeneous initial value problem with hard forces and angular cut-off. The approach uses strong L-1 compactness. Some of the technical estimates are based on L-infinity decay properties, and the control of the filling factor on range estimates for the solutions.
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| 6. |
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| 7. |
- Arkeryd, Leif, 1940
(author)
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Analiza niestandardowa
- 2004
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In: Delta. - 0137-3005. ; 7, s. 12-13
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Journal article (peer-reviewed)
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