Optimal boundary control of heat transfer in a three-dimensional material: a hyperbolic model

DOI10.1134/S0012266114030124zbMath1296.49005OpenAlexW4244728706MaRDI QIDQ2251875

R. K. Romanovskii, N. G. Churasheva

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114030124

zbMATH Keywords

Cauchy problemheat transferconvex functiongeneralized solutionBessel functionshyperbolic modeloptimal boundary controlVolterra integral operatorstruncated coneRiemann matricesinitial vector functionthree-dimensional material

Mathematics Subject Classification ID

Duality theory (optimization) (49N15) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Boundary control of a hyperbolic system with one space variable ⋮ Optimal two-sided boundary control of heat transmission in a Rod. Hyperbolic model

Cites Work

• Boundary control of a hyperbolic system of heat equations
• Some results related to the tenacity and existence of \(k\)-trees
• The method of characteristics for hyperbolic boundary value problems on the plane
• Boundary control of heat transfer in a one-dimensional material. A hyperbolic model
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