Time analyticity and backward uniqueness for the Boussinesq equations

Qianqian Hou; Xiaojing Xu

Colloquium Mathematicae (2014)

  • Volume: 135, Issue: 1, page 15-26
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Qianqian Hou, and Xiaojing Xu. "Time analyticity and backward uniqueness for the Boussinesq equations." Colloquium Mathematicae 135.1 (2014): 15-26. <http://eudml.org/doc/283880>.

@article{QianqianHou2014,
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.},
author = {Qianqian Hou, Xiaojing Xu},
journal = {Colloquium Mathematicae},
keywords = {Boussinesq equations; time analyticity; backward uniqueness},
language = {eng},
number = {1},
pages = {15-26},
title = {Time analyticity and backward uniqueness for the Boussinesq equations},
url = {http://eudml.org/doc/283880},
volume = {135},
year = {2014},
}

TY - JOUR
AU - Qianqian Hou
AU - Xiaojing Xu
TI - Time analyticity and backward uniqueness for the Boussinesq equations
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 1
SP - 15
EP - 26
AB - 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.
LA - eng
KW - Boussinesq equations; time analyticity; backward uniqueness
UR - http://eudml.org/doc/283880
ER -

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