Global existence of solutions for the relativistic Boltzmann equation on the flat Robertson-Walker space-time for arbitrarily large intial data

By Etienne Takou, N. Noutchegueme. 2005

619 citations recorded by the source corpus.

We prove a global result in time for the initial value problem for the relativistic Boltzmann equation on the flat Robertson-Walker sapace time, in the functional framework appropriate to the coupling with Einstein's equations. We had nowhere to restrict the size of the initial data which can hence be taken arbitrarily large.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2914474620265d905b47b822c11da07ee9ea1436

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In Applied Mathematics

1. Christopher D. Sogge
2. Chengbo Wang
3. Albert J. Milani
4. P. Cherrier
5. Jason Metcalfe
6. Matthew D. Blair
7. Steve Zelditch
8. Boris Hanin

In Computational Mechanics

1. Christopher D. Sogge
2. Albert J. Milani
3. P. Cherrier

In Mathematical Physics

1. Chengbo Wang
2. Christopher D. Sogge
3. Albert J. Milani
4. P. Cherrier
5. Jason Metcalfe
6. Matthew D. Blair
7. D. Tataru
8. Steve Zelditch

Citations in the corpus

• Concerning the wave equation on asymptotically Euclidean manifolds (2008, background): “[19] S. Klainerman, G. Ponce, Global, small amplitude solutions to nonlinear evolution equations, Comm. Pure Appl.”
• The genomic landscape of the somatic linker histone subtypes H1.1 to H1.5 in human cells. (2013, background): “…individual subtypes showed discrete patterns of localization (Parseghian et al., 2000; Th’ng et al., 2005) and, importantly, displayed varied effects on gene regulation (Sancho et al., 2008; Gunjan and Brown, 1999; Bhan et al., 2008; Brown et al., 1996), arguing for H1-subtype-specific functions.”
• How to meet EU GHG emission reduction targets? A model based decarbonization pathway for Europe's electricity supply system until 2050 (2017, background): “Since industrialization began in the 19th century, annual GHG emissions have been increasing steadily and a turning point is not in sight [2].”
• Linear and Quasi-Linear Evolution Equations in Hilbert Spaces (2012, result): “We refer to Racke [136], and John [66], for a comprehensive survey of the results of, among many others, John [65], Klainerman [75, 76], Klainerman and Ponce [81], as well as Klainerman [77] and Christodoulou [31], for the null condition.”