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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.
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 -