Inverse source problem in a 2D linear evolution transport equation: detection of pollution source

DOI10.1080/17415977.2011.637207zbMath1259.65141OpenAlexW2024062735MaRDI QIDQ3167880

Adel Hamdi

Publication date: 29 October 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.637207

zbMATH Keywords

stabilitynumerical examplesexact boundary controllabilityinverse source problemsurface water pollutionadvection-dispersion-reaction equationlinear evolution transport equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Ecology (92D40) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data ⋮ Detection and identification of multiple unknown time-dependent point sources occurring in 1D evolution transport equations ⋮ Detection-Identification of multiple unknown time-dependent point sources in a 2D transport equation: application to accidental pollution ⋮ Identification of time active limit with lower and upper bounds of total amount loaded by unknown sources in 2D transport equations ⋮ Inverse source problem based on two dimensionless dispersion-current functions in 2D evolution transport equations

Cites Work

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• Structural identification of an unknown source term in a heat equation
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• Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case
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• Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
• Determination of an Unknown Heat Source from Overspecified Boundary Data

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