高维Kaniadakis-Quarati方程的有限时间爆破  

Finite time blowup of multi-dimensional Kaniadakis-Quarati equation

作　　者：林春进 徐国静[2] 

机构地区：[1]河海大学理学院,江苏南京210098 [2]河海大学文天学院,安徽马鞍山243031

出　　处：《山东大学学报（理学版）》2014年第6期79-84,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11201116)

摘　　要：研究了描述波色子的高维Kaniadakis-Quarati方程的解的加权范数估计,证明了若初始质量充分大,这些范数在有限时间内趋于零。这种爆破现象在物理上称为Bose-Einstein凝聚。The Kaniadakis-Quarati equation is used to describe the behavior of bosons.In this paper some weighted norms of solutions for the Kaniadakis-Quarati equation are studied.These weighted norms will converge to zero in finite time if the mass of the initial distribution is big enough.This phenomena is called Bose-Einstein condensation in physics.

关 键 词：Kaniadakis-Quarati 方程 爆破 BOSE-EINSTEIN 凝聚 

分 类 号：O175.24[理学—数学] O175.23[理学—基础数学]