Lei Zhang and Bin Liu Huazhong University of Science and Technology, Huazhong University of Science and Technology
Abstract : This paper is concerned with the optimal control problem for the viscous weakly dispersive Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of weak solution to the equation. The optimal control problem for the viscous weakly dispersive BBM equation is introduced, and then the existence of optimal control to the problem is proved.
Keywords : viscous weakly dispersive, BBM equation, existence, optimal control