Behaviour of a thermodynamic model system under time-dependent periodic boundary conditions
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A finite domainD 2 is enveloped by a finite domain.D 1. The domainD 1, in turn, is in contact with two thermal baths with time-dependent periodic temperaturesT s(t), andT e(t). We search for the best way to makeT 2, the temperature field belonging toD 2, as close as posible to a predetermined constant. This can be obtained with the insertion of controlled energy sources or sinks. We study the formal approach with zero energy expenditure and the maximization problem which is implied.
KeywordsBoundary Control Control Field Mixed Boundary Condition Thermal Bath Finite Domain
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