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Optimal control problems with state constraints in fluid mechanics and combustion. (English) Zbl 1068.49501
Summary: 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.

MSC:
49K20 Optimality conditions for problems involving partial differential equations
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
80A25 Combustion
93C20 Control/observation systems governed by partial differential equations
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