Applied Mathematics and Optimization, Vol.38, No.2, 159-192, 1998
Optimal control problems with state constraints in fluid mechanics and combustion
Using nonlinear programming theory in Banach spaces we derive a version of Pontryagin＇s maximum principle that can be applied to distributed parameter systems under control and state constrains. The results are applied to fluid mechanics and combustion problems.
Keywords:DISTRIBUTED-PARAMETER SYSTEMS;VISCOUS-FLOW PROBLEMS;ELLIPTIC-EQUATIONS;STOKES OPERATOR;SPACES;EXISTENCE;LR