Random evolution equations in hydrology

DOI10.1016/0096-3003(90)90023-VzbMath0699.76110OpenAlexW1972434538MaRDI QIDQ5899799

T. E. Unny, Sergio E. Serrano

Publication date: 1990

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90023-v

zbMATH Keywords

stochastic processesstochastic partial differential equationsHilbert spacesevolution equationsItô's lemmahydrologic cycleunsteady-groundwater-flow equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Parameter estimation in diagonalizable bilinear stochastic parabolic equations ⋮ Method for analyzing stochastic heat transfer in a fluid flow ⋮ Passive tracer dispersion with random or periodic source. ⋮ Modelling of stochastic heat transfer in a solid

Cites Work

• Semigroup solutions to stochastic unsteady groundwater flow subject to random parameters
• General solution to random advective-dispersive equation in porous media. I: Stochasticity in the sources and in the boundaries
• Modeling, estimation, and their applications for distributed parameter systems
• Stochastic prey-predator relationships: A random differential equation approach
• Stochastic partial differential equations in groundwater hydrology. I: Theory
• Inversion of nonlinear stochastic operators
• Stochastic processes and filtering theory
• Stochastic differential equations in Hilbert space
• Boundary element solution of the two-dimensional groundwater flow equation with stochastic free surface boundary condition
• Robust estimation through estimating equations
• Solute transport in heterogeneous porous formations
• A Numerical Analysis of Some First Order Stochastic Initial Value Problems
• Approximate Integration of Stochastic Differential Equations
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• Numerical Solution of Ito Integral Equations
• Applications of functional analysis and operator theory
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