Direct Problems for Poroelastic Waves with Fractional Derivatives

DOI10.1137/130924147zbMath1299.76261OpenAlexW2025415886MaRDI QIDQ2878985

Viatcheslav Priimenko, Alfredo Lorenzi

Publication date: 5 September 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130924147

zbMATH Keywords

porous mediadynamic permeabilityuniqueness and continuous dependence resultsconvolution hyperbolic systems of second-order vector equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

An ergodic approach to Laplace transforms on time scales ⋮ On the solvability of some dynamic poroelastic problems ⋮ A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media

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