Combined one-dimensional inverse problems for Maxwell's equation and an equation of the continual filtration theory

DOI10.1016/S0893-9659(98)00147-5zbMath0935.35174OpenAlexW2046225292MaRDI QIDQ1808973

Kh. Kh. Imomnazarov

Publication date: 14 May 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00147-5

zbMATH Keywords

uniquenessmathematical modelMaxwell's equationoptimization methodfiltration theoryArchie's lawconducting elastic porous bodyearthquake precursors

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Flows in porous media; filtration; seepage (76S05) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (3)

An inverse problem of electromagnetoelasticity in the case of complete nonlinear interaction ⋮ An initial boundary-value problem for model electromagnetoelasticity system ⋮ The first initial-boundary-value problem for a nonlinear model of the electrodynamics of vibrating elastic media

Cites Work

• Uniqueness of determination of a source in the Cauchy problem for the system of equations of continual filtration theory
• A mathematical model for the movement of a conducting liquid through a conducting porous medium
• Archie's law for a mathematical model of movement of a conducting liquid through a conducting porous medium
• Inversion of the Radon transform, based on the theory of A-analytic functions, with application to 3D inverse kinematic problem with local data
• Inverse problems of memory reconstruction
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