Stochastic partial differential equations in groundwater hydrology. I: Theory

DOI10.1007/BF01544077zbMath0687.76093MaRDI QIDQ1263460

T. E. Unny

Publication date: 1989

Published in: Stochastic Hydrology and Hydraulics (Search for Journal in Brave)

zbMATH Keywords

parameter estimationboundary conditionsmaximum likelihood estimationinitial conditionsstochasticcontaminant transportphreatic aquiferproblem of groundwater flowrandom boundary value problemrandom forcing problemrandom initial value problemrandom parameter problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Signal detection and filtering (aspects of stochastic processes) (60G35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Operator and integro-differential representations of conditional and unconditional stochastic subsurface flow ⋮ Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection–reaction–diffusion models ⋮ Estimation for rainfall-runoff modeled as a partially observed Markov process ⋮ Theory of diffusions applied to stochastic flow in porous media ⋮ Fitting a stochastic partial differential equation to aquifer data ⋮ Random evolution equations in hydrology ⋮ Random evolution equations in hydrology ⋮ Stochastic analysis of estuarine hydraulics. I: One dimensional steady flow ⋮ Joint Online Parameter Estimation and Optimal Sensor Placement for the Partially Observed Stochastic Advection-Diffusion Equation ⋮ Stochastic perturbation analysis of groundwater flow. Spatially variable soils, semi-infinite domains and large fluctuations ⋮ Stochastic partial differential equations in groundwater hydrology. II: Application to Borden aquifer

Cites Work

• Developement of stochastic partial differential equations for subsurface hydrology
• Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters
• Infinite dimensional linear systems theory
• Stochastic processes and filtering theory
• Stochastic differential equations in Hilbert space
• Stochastic integrals in abstract Wiener space
• Differential equation s in abstract spaces
• Boundary element solution of the two-dimensional groundwater flow equation with stochastic free surface boundary condition
• Stochastic partial differential equations and filtering of diffusion processes
• Mathematical Models in Heat Flow and Diffusion
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