The Boltzmann equation with potential force in the whole space |
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| Authors: | Jie Sun |
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| Institution: | 1. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China;2. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong;3. Joint Advanced Research Center of University of Science and Technology of China and City University of Hong Kong, Suzhou, Jiangsu 215123, People's Republic of China |
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| Abstract: | In this paper, we consider the Cauchy problem of the Boltzmann equation with potential force in the whole space. When some more natural assumptions compared with those of the previous works are made on the potential force, we can still obtain a unique global solution to the Boltzmann equation even for the hard potential cases by energy method, if the initial data are sufficiently close to the steady state. Moreover, the solution is uniformly stable. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | Boltzmann equation potential force whole space |
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