STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION

DOI10.1142/S021949371350010XzbMath1291.35453OpenAlexW2170017582MaRDI QIDQ2863005

Jan Bártek, Bohdan Maslowski, María J. Garrido-Atienza

Publication date: 20 November 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949371350010x

zbMATH Keywords

fractional Brownian motionrandom dynamical systemstochastic porous media equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Flows in porous media; filtration; seepage (76S05) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (2)

Analysis of a stochastic SIR model with fractional Brownian motion ⋮ Lévy–Areas of Ornstein–Uhlenbeck Processes in Hilbert–Spaces

Cites Work

• Ergodicity of the infinite dimensional fractional Brownian motion
• Integration with respect to fractal functions and stochastic calculus. I
• Evolution equations driven by a fractional Brownian motion
• On the law of the iterated logarithm for Gaussian processes
• Compensated fractional derivatives and stochastic evolution equations
• Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion
• Random Dynamical Systems and Stationary Solutions of Differential Equations Driven by the Fractional Brownian Motion
• Stochastic Calculus for Fractional Brownian Motion I. Theory
• Stochastic calculus with respect to Gaussian processes

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