Regularity and optimal control of quasicoupled and coupled heating processes. (English) Zbl 0854.73010

Summary: Sufficient conditions for continuity and boundedness of stresses in three-dimensional linearized coupled thermoelastic systems including viscoelasticity are derived, and the optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is investigated. Due to the heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions for such systems, the technique of spaces of Besov-Sobolev type is employed, and the possibility of its use in optimization problems is studied.


74B05 Classical linear elasticity
80A20 Heat and mass transfer, heat flow (MSC2010)
49J20 Existence theories for optimal control problems involving partial differential equations
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