Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (4): 777-786.doi: 10.1016/S0252-9602(15)30021-7

• Articles • Previous Articles     Next Articles

BOUNDED SOLUTION OF THE RELATIVISTIC BOLTZMANN EQUATION

Lan LUO1, Hongjun YU2   

  1. 1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2015-01-14 Online:2015-07-01 Published:2015-07-01

Abstract:

In either a periodic box Td or Rd (1≤d≤ 3), we obtain global bounded solution of the relativistic Boltzmann equation near global relativistic Maxwellian, in terms of natural mass, energy conservation and the entropy inequality.

Key words: relativistic Boltzmann equation, relativistic Maxwellian, iteration, global existence

CLC Number: 

  • 35Q72
Trendmd