Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics |
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Authors: | Jing ZHANG Yongqian ZHANG |
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Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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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 (UΔt,d, IΔt,d) and prove that there is a subsequence of the approximate solutions which is convergent to the global solution. |
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Keywords: | global existence Euler-Boltzmann equations initial-boundary Glimm scheme 35L50 76N15 78A40 35D30 35L65 |
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