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Finite time blowup of multi-dimensional Kaniadakis-Quarati equation#br#

LIN Chun-jin1, XU Guo-jing2   

  1. 1. College of Science, Math Department, Hohai University, Nanjing 210098, Jiangsu, China;
    2. Wentian College, Hohai univerisity, Maanshan 243031, Anhui, China
  • Received:2013-12-19 Online:2014-06-20 Published:2014-06-14

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Abstract: 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.

Key words: Kaniadakis-Quarati equation, blow-up, Bose-Einstein condensation

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