GLOBAL SOLUTION TO THE CAUCHY PROBLEM ON A UNIVERSE FIREWORKS MODEL |
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| Authors: | Jiang Zhenglu |
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| Institution: | [1]Department of Mathematics, Zhongshan University, Guangzhou 510275, China; [2]Department of Mathematics, Shanghai Normal University, Shanghai 200234, China; [3]Division of Computational Science, E-Institute of Shanghai Universities, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China |
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| Abstract: | We prove existence and uniqueness of the global solution to the Cauchy problem on a universe fireworks model with finite total mass at the initial state when the ratio of the mass surviving the explosion,the probability of the explosion of fragments and the probability function of the velocity change of a surviving particle satisfy the corresponding physical conditions.Although the nonrelativistic Boltzmann-like equation modeling the universe fireworks is mathematically easy,this article leads rather theore... |
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| Keywords: | Cauchy problem global solution universe fireworks |
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