On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study

DOI10.1007/s00030-014-0295-9zbMath1321.35266OpenAlexW2060037050MaRDI QIDQ497394

Nataliya Vasylyeva, Lyudmyla Vynnytska

Publication date: 24 September 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-014-0295-9

zbMATH Keywords

anomalous diffusionCaputo derivativecoercive estimatesquasistationary Stefan problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Free boundary problems for PDEs (35R35) Moving boundary problems for PDEs (35R37) Fractional partial differential equations (35R11)

Related Items (8)

The Hele-Shaw problem with surface tension in the case of subdiffusion ⋮ Linear subdiffusion in weighted fractional Hölder spaces ⋮ A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes ⋮ On a class of functional difference equations: explicit solutions, asymptotic behavior and applications ⋮ On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition ⋮ Time-fractional diffusion equation with dynamical boundary condition ⋮ Solvability of a linear system with a nonlocal term in a boundary condition ⋮ Local solvability of a linear system with a fractional derivative in time in a boundary condition

Uses Software

• FEniCS
• SyFi

Cites Work

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