Control of the radiative heating of a glass plate

DOI10.1007/S13370-015-0371-2zbMath1378.35155OpenAlexW1181069998MaRDI QIDQ1689717

Luc Paquet

Publication date: 17 January 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-015-0371-2

zbMATH Keywords

cost functionalFréchet derivativeimplicit function theoremadjoint problemnonlinear heat-conduction equationPlanck functiongradient of the reduced cost functionalradiative transfer equation in a glass platereduced cost functional

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Radiative heating of a glass plate: the semi-discrete problem (second revision) ⋮ Control of the radiative heating of a semi-transparent body

Cites Work

• Radiative heating of a glass plate
• Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
• Multi-group full-spectrum \(k\)-distribution database for water vapor mixtures in radiative transfer calculations.
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Adaptive computation for boundary control of radiative heat transfer in glass
• Optimization with PDE Constraints
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient
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