Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics

DOI10.1137/18M1184990zbMath1448.60192arXiv1805.00653OpenAlexW3104103461MaRDI QIDQ5112031

Pingwen Zhang, Weihua Deng, Xu-Dong Wang

Publication date: 27 May 2020

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00653

zbMATH Keywords

well-posednessjump processesanisotropic anomalous diffusiontempered Lévy flightmultiple internal statesnonlocal normal diffusion

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

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The upwind PPM scheme and analysis for solving two-sided space-fractional advection-diffusion equations in three dimension ⋮ The characteristic difference DDM for solving the time-fractional order convection-diffusion equations ⋮ Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients ⋮ An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity ⋮ Multivariate stable approximation by Stein's method ⋮ The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations ⋮ Boundary control of a fractional reaction-diffusion equation coupled with fractional ordinary differential equations with delay ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

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