An optimal control problem for microwave heating

作者:Wei, Wei; Yin, Hong-Ming*; Tang, Juming
来源:Nonlinear Analysis-Theory Methods & Applications, 2012, 75(4): 2024-2036.
DOI:10.1016/j.na.2011.10.003

摘要

In this paper, we study an optimization problem for a microwave/induction heating process. The cost function is defined such that the temperature profile at the final stage has a relative uniform distribution in the field. The control variable is the applied electric field on the boundary. We show that there exists an optimal electric field which minimizes the cost function. Moreover, a necessary condition for a special case is also derived.