Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case

• Autorzy: Piotr Bogusław Mucha
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 52
• Numer: 1
• Strony: 175-180

Daty

wydano

2000

Twórcy

autor

Piotr Bogusław Mucha

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] D. Bancel and Y. Choquet-Bruhat, Existence, uniqueness, and local stability for the Einstein-Maxwell-Boltzman system, Comm. Math. Phys. 33 (1973), 84-96.
• [2] J. Bernstein, Kinetic theory in the expanding universe, Cambridge University Press, 1988.
• [3] K. Bitcheler, On the Cauchy problem for relativistic Boltzmann equation, Comm. Math. Phys. 4 (1967), 352-364.
• [4] G. Di Blasio, Differentiability of spatially homogeneous solution of the Boltzmann equation in the non Maxwellian case, Comm. Math. Phys. 38 (1974), 331-340.
• [5] J. Ehlers, Survey of general relativity theory, in: W. Israel (ed.), Relativity, Astrophysics and Cosmology, Reidel, Dordrecht, 1973.
• [6] P. B. Mucha, The Cauchy problem for the Einstein-Boltzmann system, J. Appl. Anal. 4 (1998), 129-141.
• [7] P. B. Mucha, Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime, Comm. Math. Phys. 203 (1999), 107-118.