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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-2, author = {Qianqian Hou and Xiaojing Xu}, title = {Time analyticity and backward uniqueness for the Boussinesq equations}, journal = {Colloquium Mathematicae}, volume = {135}, year = {2014}, pages = {15-26}, zbl = {1294.35100}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-2} }
Qianqian Hou; Xiaojing Xu. Time analyticity and backward uniqueness for the Boussinesq equations. Colloquium Mathematicae, Tome 135 (2014) pp. 15-26. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-2/