Time analyticity and backward uniqueness for the Boussinesq equations

Qian Qian Hou; Xiao Jing Xu

doi:10.4064/cm135-1-2

Time analyticity and backward uniqueness for the Boussinesq equations

Qian Qian Hou^*
, Xiao Jing Xu

^*Corresponding author for this work

Beijing Normal University
Ministry of Education of the People's Republic of China

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	15-26
Number of pages	12
Journal	Colloquium Mathematicum
Volume	135
Issue number	1
DOIs	https://doi.org/10.4064/cm135-1-2
State	Published - 2014
Externally published	Yes

Keywords

Backward uniqueness
Boussinesq equations
Time analyticity

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10.4064/cm135-1-2

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title = "Time analyticity and backward uniqueness for the Boussinesq equations",

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.",

keywords = "Backward uniqueness, Boussinesq equations, Time analyticity",

author = "Hou, \{Qian Qian\} and Xu, \{Xiao Jing\}",

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language = "英语",

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T1 - Time analyticity and backward uniqueness for the Boussinesq equations

AU - Hou, Qian Qian

AU - Xu, Xiao Jing

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2014.

PY - 2014

Y1 - 2014

N2 - 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.

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.

KW - Backward uniqueness

KW - Boussinesq equations

KW - Time analyticity

UR - https://www.scopus.com/pages/publications/84907083257

U2 - 10.4064/cm135-1-2

DO - 10.4064/cm135-1-2

M3 - 文章

AN - SCOPUS:84907083257

SN - 0010-1354

VL - 135

SP - 15

EP - 26

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 1

ER -

Time analyticity and backward uniqueness for the Boussinesq equations

Abstract

Keywords

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