文献类型：期刊文献

英文题名：CONVERGENCE TO THE EQUILIBRIUM STATE FOR A BOSE-EINSTEIN 1D KAC GRAZING LIMIT MODEL

作者：Alexandre, Radjesvarane[1,2,3];Liao, Jie[4];Lin, Chunjin[1,5]

机构：[1]Shanghai Jiao Tong Univ, Dept Math, Shanghai 200040, Peoples R China;[2]Shanghai Jiao Tong Univ, MOE LSEC, Shanghai 200040, Peoples R China;[3]Arts & Metiers Paris Tech, F-75013 Paris, France;[4]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[5]Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

年份：2016

卷号：14

期号：1

起止页码：187

外文期刊名：COMMUNICATIONS IN MATHEMATICAL SCIENCES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000362998300007)】；

基金：R.A. is supported by the National Natural Science Foundation of China (No. 11171211) and a starting grant from Shanghai Jiao Tong University. J.L. is supported by the National Natural Science Foundation of China (No. 11301182) and the Science and Technology commission of Shanghai Municipality (13ZR1453400). C.L. is supported by the National Natural Science Foundation of China (No. 11201116) and the Shanghai Rising Star Program (12QA1401600).

语种：英文

外文关键词：Quantum Kac grazing limit model; relative entropy method; exponential decay

摘要：The convergence to the equilibrium of the solution of a quantum Kac grazing limit model for Bose-Einstein identical particles is studied. Using the relative entropy method and a detailed analysis of the entropy production, the exponential decay rate is obtained under suitable assumptions on the mass and energy of the initial data. These theoretical results are further illustrated through numerical simulations.