Lie group analysis of 2‐dimensional space‐fractional model for flow in porous media

DOI10.1002/MMA.5078zbMath1406.35458OpenAlexW2806499867MaRDI QIDQ4614507

Nikita S. Belevtsov, Stanislav Yu. Lukashchuk

Publication date: 31 January 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5078

zbMATH Keywords

Riesz potentialfractional partial differential equationssymmetry analysisinvariant solutionflows in fractured porous media

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Fractional partial differential equations (35R11)

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Factorization of the fundamental solution to fractional Helmholtz equation ⋮ Multipole expansion of the fundamental solution of a fractional degree of the Laplace operator ⋮ Finite volume method for mixed convection boundary layer flow of viscoelastic fluid with spatial fractional derivatives over a flat plate

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