Boundary control of heat transfer in a one-dimensional material. A hyperbolic model

DOI10.1134/S0012266107050102zbMath1288.93051OpenAlexW4245590924MaRDI QIDQ2480471

R. K. Romanovskii, O. G. Zhukova

Publication date: 31 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0012266107050102

zbMATH Keywords

Riemann matriceshyperbolic systems of first order

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) First-order hyperbolic systems (35L40)

Related Items (6)

Optimal two-sided boundary control of heat transmission in a Rod. Hyperbolic model ⋮ Optimal boundary control of a hyperbolic system of heat equations ⋮ Optimal boundary control of heat transfer in a one-dimensional material: a hyperbolic model ⋮ On the Riemann matrices of the hyperbolic system dual to the system of equations of one-dimensional gas dynamics ⋮ Optimal boundary control of heat transfer in a three-dimensional material: a hyperbolic model ⋮ Boundary control of heat transfer in a three-dimensional material: a hyperbolic model

Cites Work

• The method of characteristics for hyperbolic boundary value problems on the plane
• Optimal boundary control of a string by an elastic force applied at one end, the other end being free
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
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