A+ CATEGORY SCIENTIFIC UNIT

Time analyticity and backward uniqueness for the Boussinesq equations

Volume 135 / 2014

Qianqian Hou, Xiaojing Xu Colloquium Mathematicum 135 (2014), 15-26 MSC: 35Q35, 35B35, 35B65, 76D03. DOI: 10.4064/cm135-1-2

Abstract

We prove that strong solutions of the Boussinesq equations in 2D and 3D can be extended as analytic functions of complex time. As a consequence we obtain the backward uniqueness of solutions.

Authors

  • Qianqian HouSchool of Mathematical Sciences
    Beijing Normal University
    and
    Laboratory of Mathematics and Complex Systems
    Ministry of Education
    Beijing 100875, P.R. China
    e-mail
  • Xiaojing XuSchool of Mathematical Sciences
    Beijing Normal University
    and
    Laboratory of Mathematics and Complex Systems
    Ministry of Education
    Beijing 100875, P.R. China
    e-mail

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