ON UNIQUENESS IN THE PROBLEMS OF DETERMINING POINT SOURCES IN MATHEMATICAL MODELS OF HEAT AND MASS TRANSFER

DOI10.14529/MMPH220203zbMath1496.80007OpenAlexW4288783107MaRDI QIDQ5086613

Lyubov' Vladimirovna Neustroeva

Publication date: 6 July 2022

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm516

zbMATH Keywords

inverse problemuniquenessparabolic equationpoint sourceheat and mass transfer

Mathematics Subject Classification ID

Inverse problems in thermodynamics and heat transfer (80A23) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Identifiability and identification of a pollution source in a river by using a semi-discretized model
• A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source
• Solving the two-dimensional inverse heat source problem through the linear least-squares error method
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• An inverse source problem in potential analysis
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Point source identification in nonlinear advection–diffusion–reaction systems
• On some asymptotic representations of solutions to elliptic equations and their applications
• Inverse source problem in an advection–dispersion–reaction system: application to water pollution
• Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
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