Some spectral properties of the streaming operator with general boundary conditions

Mohamed Boulanouar

Applications of Mathematics (2008)

  • Volume: 53, Issue: 1, page 1-12
  • ISSN: 0862-7940

Abstract

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This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator K . We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un C 0 -semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case ∥ K ∥ ≥ 1 . We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation.

How to cite

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Boulanouar, Mohamed. "Some spectral properties of the streaming operator with general boundary conditions." Applications of Mathematics 53.1 (2008): 1-12. <http://eudml.org/doc/33308>.

@article{Boulanouar2008,
abstract = {This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator $K$. We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un $C_0$-semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case $\Vert K\Vert \ge 1$. We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation.},
author = {Boulanouar, Mohamed},
journal = {Applications of Mathematics},
keywords = {compactness; essential type; positivity and irreducibility; spectral properties; streaming operator; strongly continuous semigroups; compactness; essential type; positivity; irreducibility; spectral properties; streaming operator},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some spectral properties of the streaming operator with general boundary conditions},
url = {http://eudml.org/doc/33308},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Boulanouar, Mohamed
TI - Some spectral properties of the streaming operator with general boundary conditions
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 1
EP - 12
AB - This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator $K$. We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un $C_0$-semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case $\Vert K\Vert \ge 1$. We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation.
LA - eng
KW - compactness; essential type; positivity and irreducibility; spectral properties; streaming operator; strongly continuous semigroups; compactness; essential type; positivity; irreducibility; spectral properties; streaming operator
UR - http://eudml.org/doc/33308
ER -

References

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