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Existence globale des solutions du système couplé maxwell-boltzmann-euler sur un espace temps de Bianchi I.

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par Timothée Raoul MOUTNGUI SEE
université de Yaoundé I - Master 2 2010
  

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Bibliographie

[1] D. Bancel, Problème de Cauchy pour l'équation de Boltzmann en Relativité Générale. Ann. Henri Poincaré, Vol XVIII, 3, 263, (1973).

[2] D. Bancel ; Y. Choquet-Bruhat, Uniqueness and local stability for the Einstein-Maxwell-Boltzmann system. Comm. Math. Phys, 33, 87 (1973).

[3] K. Bichleter, On the Cauchy problem for relativistic Boltzmann equation. Comm. Math. Phys, 4, 352 (1967).

[4] R. T. Glassey ; W. Strauss, Asymptotic stability of the relativistic Maxwellian. Publ. Math. RIMS Kyoto, 29, 301 (1992).

[5] R. T. Glassey, The Cauchy problem in kenetic theory, SIAM, Indiana University, Bloomington, Indiana (1996).

[6] Jurgens Eulers, A survey of General Relativity theory. Astrophysics and Cosmology. Ed. W. Israel (14), (26).

[7] P. B. Mucha, Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker space-time. Comm. Math. Phys. 203, 107, (1999).

[8] P. B. Mucha, Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case in Evolution Equation, Existence, Regularity and Singularities, Banach Center publications, volume 52, Institute of Mathematics, Polish Academy of Science, Warzawa (2000).

[9] N. Noutchegueme, D. Dongo, Global existence of solutions for the Einstein-Boltzmann system in a Bianchi type 1 space-time for arbitrarily large initial data. Class Quantum Grav. 23, 2979-3003 (2006).

BIBLIOGRAPHIE

[10] N. Noutchegueme, D. Dongo, E. Takou, Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type 1 space-time. Gen. Relat. Grav (2005), 37 (12) 2047-2062.

[11] N. Noutchegueme, E. Takou, Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in a Robertson-Walker space-time. Commun. Math. Sci, vol. 4, no. 2, pp 291-314, (2006), International Press.

[12] N. Noutchegueme, R. D. Ayissi, Global existence of solutions to the Maxwell-Boltzmann system in a Bianchi type 1 space-time. Adv. Studies Theor. Phys, Vol. 4, 2010, no. 18, 855-878.

Mémoire de MASTER 61 MOUTNGUI SEE c?UYI 2010-2011.

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