scholarly journals GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME

2017 ◽  
Vol 13 (1) ◽  
pp. 7087-7118 ◽  
Author(s):  
Noutchegueme Norbert
Keyword(s):  
Scalar Field ◽  
Global Existence ◽  
Cosmological Constant ◽  
Existence Theorem ◽  
Regular Solution ◽  
Existence And Uniqueness ◽  
Bianchi Type ◽  
Type I ◽  
Field System ◽  
Global Existence Theorem

We prove an existence and uniqueness of regular solution to the Einstein-Maxwell-Boltzmann-Scalar Field system with pseudo-tensor of pressure and the cosmological constant globaly in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the global existence theorem.

scholarly journals The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes

2013 ◽  
Vol 2013 ◽  
pp. 1-18 ◽  
Author(s):  
Raoul Domingo Ayissi ◽  
Norbert Noutchegueme ◽  
Hugues Paulin Mbeutcha Tchagna
Keyword(s):  
Scalar Field ◽  
Global Existence ◽  
Existence Theorem ◽  
Fast Moving ◽  
Existence And Uniqueness ◽  
Charged Particles ◽  
Euler System ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Global Existence Theorem

We prove the existence and uniqueness of regular solution to the coupled Maxwell-Boltzmann-Euler system, which governs the collisional evolution of a kind of fast moving, massive, and charged particles, globally in time, in a Bianchi of types I to VIII spacetimes. We clearly define function spaces, and we establish all the essential energy inequalities leading to the global existence theorem.

Sign in / Sign up

Export Citation Format

Share Document