Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
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作者:
Lee, Ho
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Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Lee, Ho
[1
,2
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Nungesser, Ernesto
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UCM, Inst Ciencias Matemat, UC3M, CSIC,UAM, Madrid 28049, SpainKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Nungesser, Ernesto
[3
]
机构:
[1] Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South Korea
[3] UCM, Inst Ciencias Matemat, UC3M, CSIC,UAM, Madrid 28049, Spain
In this paper, we study the future global existence and late-time behaviour of the Einstein-Boltzmann system with Bianchi I symmetry and a positive cosmological constant A > 0. For the Boltzmann equation, we consider the scattering kernel of Israel particles which are the relativistic counterpart of Maxwellian particles. Under a smallness assumption on initial data in a suitable norm, we show that solutions exist globally in time and isotropize at late times. Published by AIP Publishing.
机构:
Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Lee, Ho
Nungesser, Ernesto
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CSIC, UAM, UCM, Inst Ciencias Matemat,UC3M, E-28040 Madrid, SpainKyung Hee Univ, Dept Math, Seoul 02447, South Korea
机构:
Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Lee, Ho
Nungesser, Ernesto
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Trinity Coll Dublin, Sch Math, Dublin 2, Ireland
CSIC, Inst Ciencias Matemat, Madrid 28049, SpainKyung Hee Univ, Dept Math, Seoul 02447, South Korea
机构:
Max Planck Intitut Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, GermanyMax Planck Intitut Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany
Lee, Ho
Rendall, Alan D.
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Max Planck Intitut Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, GermanyMax Planck Intitut Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany