Control of the radiative heating of a semi-transparent body
DOI10.1007/s00033-018-1059-xzbMath1408.49003OpenAlexW2904612265WikidataQ128893147 ScholiaQ128893147MaRDI QIDQ667751
Luc Paquet, Ali Wehbe, Hawraa Nabolsi
Publication date: 1 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-1059-x
cost functionaloptimal control problembackward parabolic linear equationfirst-order necessary optimality conditionnonlinear boundary condition of the Robin typenonlinear parabolic equation with an integral 0-order term
Optimality conditions for problems involving partial differential equations (49K20) Optimization problems in thermodynamics and heat transfer (80M50) Existence theories for optimal control problems involving partial differential equations (49J20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Radiative heating of a glass plate
- Multi-group full-spectrum \(k\)-distribution database for water vapor mixtures in radiative transfer calculations.
- Control of the radiative heating of a glass plate
- Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
- Optimization with PDE Constraints
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- The radiative transfer equation with a nonhomogeneous reflectivity boundary condition coupled with the heat conduction equation
- Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient
- Optimal control in radiative transfer
- Commutativite de deux foncteurs d'interpolation et applications
