INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS

doi:10.1016/S0252-9602(17)30116-9

Abstract

Abstract:

We study the initial-boundary value problem for the one dimensional Euler-Boltzmann equation with reflection boundary condition. For initial data with small total variation, we use a modified Glimm scheme to construct the global approximate solutions (U_△t,d, I_△t,d) and prove that there is a subsequence of the approximate solutions which is convergent to the global solution.

Key words: global existence, Euler-Boltzmann equations, initial-boundary, Glimm scheme

Jing ZHANG, Yongqian ZHANG. INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS[J].Acta mathematica scientia,Series B, 2018, 38(1): 34-56.

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