Identification of the heat transfer coefficient from boundary integral data

DOI10.1134/s0037446624040104zbMATH Open1543.35296MaRDI QIDQ6575427

O. A. Soldatov, S. G. Pyatkov

Publication date: 19 July 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

inverse problemparabolic equationheat transfer coefficientheat and mass transfer

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Cites Work

• Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem
• A parabolic inverse problem with an unknown boundary condition
• Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements
• On some classes of inverse problems of recovering the heat transfer coefficient in stratified media
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• On the regular solvability of some classes of transmission problems in a cylindrical space domain
• Determination of the heat transfer coefficient in mathematical models of heat and mass transfer
• Identification of nonlinear heat transfer laws from boundary observations
• An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem
• Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements
• Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem
• Inverse problems of recovering the heat transfer coefficient with integral data
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