Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas |
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Authors: | Jie Jiang Songmu Zheng |
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Affiliation: | 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, Hubei Province, People’s Republic of China 2. Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
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Abstract: | ![]() This paper is concerned with the global well-posedness and exponential stability of solutions to a one-dimensional model for the viscous radiative and reactive gas with higher-order kinetics. We prove that under rather general assumptions on the heat conductivity κ, for any large smooth initial data, the problem admits a unique global classical solution. Moreover, the solution will exponentially decay to the unique steady state as time goes to infinity. |
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