Time analyticity and backward uniqueness for the Boussinesq equations

• Autorzy: Qianqian Hou , Xiaojing Xu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35B35: Stability
• 35B65: Smoothness and regularity of solutions
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 135
• Numer: 1
• Strony: 15-26

Daty

wydano

2014

Twórcy

autor

Qianqian Hou

• School of Mathematical Sciences, Beijing Normal University
• Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China

autor

Xiaojing Xu

• School of Mathematical Sciences, Beijing Normal University
• Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China

Identyfikatory

DOI

10.4064/cm135-1-2