Integral representations for the double-diffusivity system on the half-line

DOI10.1007/S00033-023-02174-8MaRDI QIDQ6131415

Anthony Carbery, Unnamed Author, Athanassios S. Fokas, Elias C. Aifantis

Publication date: 5 April 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

closed-form solutionswell-posednessintegral representationsCahn-Hilliard modelnanotechnologymechanics of solidsrigorous analysisBarenblatt's pseudoparabolic equationdouble-diffusion modelFokas unified-transform methodnonhomogeneous initial-boundary-value problems on the quarter-plane

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral representations of solutions to PDEs (35C15) Turbulent transport, mixing (76F25) Explicit solutions of dynamical problems in solid mechanics (74H05) Initial-boundary value problems for second-order parabolic systems (35K51) Complex-variable methods applied to problems in solid mechanics (74S70) Classical solutions to PDEs (35A09) Regularity of solutions of dynamical problems in solid mechanics (74H30)

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