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math.NA2026
Asymmetric Lévy walks driven by convex combination of fractional material derivatives
Łukasz Płociniczak, Marek A. Teuerle, Hubert Woszczek
We analyze a class of linear partial differential equations that arise as deterministic descriptions of the scaling limits of Lévy walks, in which transport is driven by a convex c…
math.NA2024
Fractional material derivative: pointwise representation and a finite volume numerical scheme
Łukasz Płociniczak, Marek A. Teuerle
The fractional material derivative appears as the fractional operator that governs the dynamics of the scaling limits of Lévy walks - a stochastic process that originates from the…