B
Boris Baeumer
Researcher at University of Otago
Publications - 61
Citations - 4086
Boris Baeumer is an academic researcher from University of Otago. The author has contributed to research in topics: Fractional calculus & Subordinator. The author has an hindex of 30, co-authored 60 publications receiving 3689 citations. Previous affiliations of Boris Baeumer include University of Nevada, Reno & University of Wisconsin–Milwaukee.
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Fractal mobile/immobile solute transport
TL;DR: In this paper, a fractal mobile/immobile model for solute transport with power law waiting times in the immobile zone was proposed, leading to a fractional time derivative in the model equations, which captures the anomalous behavior of tracer plumes in heterogeneous aquifers.
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Stochastic solution of space-time fractional diffusion equations.
TL;DR: Replacing the integer time derivative by a fractional derivative subordinates the original stochastic solution to an inverse stable subordinator process whose probability distributions are Mittag-Leffler type, leading to explicit solutions for space-time fractional diffusion equations with multiscaling space-fractional derivatives.
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Fractional advection‐dispersion equations for modeling transport at the Earth surface
TL;DR: In this paper, a phenomenological discussion of particle transport behavior may be parsimoniously described by a fractional ADE, consistent with evidence of superdiffusive and subdiffusive behavior in natural and experimental systems.
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Tempered anomalous diffusion in heterogeneous systems
TL;DR: In this article, the authors propose a tempered model to capture the slow convergence of sub-diffusion to a diffusion limit for passive tracers in heterogeneous media, which is validated against particle concentrations from detailed numerical simulations and field measurements, at various scales and geological environments.
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Tempered stable Lévy motion and transient super-diffusion
TL;DR: Finite difference and particle tracking methods for solving the tempered fractional diffusion equation with drift are provided and a new exponential rejection method for simulating tempered Levy stables is presented to facilitate particle tracking codes.