Spatial behaviour of solutions of the three-phase-lag heat equation

DOI10.1016/j.amc.2009.03.005zbMath1167.35409OpenAlexW2073614256MaRDI QIDQ1030226

Ramón Quintanilla

Publication date: 1 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.005

zbMATH Keywords

hyperbolic partial differential equationnon-standard problemsfourth-order derivative with respect to timeSaint-Venant Principlespatial evolution on a semi-infinite cylinderthree-phase-lag heat equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (14)

Fast spatial behavior in higher order in time equations and systems ⋮ Effects of three-phase-lag on two-temperature generalized thermoelasticity for infinite medium with spherical cavity ⋮ On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags ⋮ Fractional order theory in thermoelastic solid with three-phase lag heat transfer ⋮ Effect of temperature‐dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model ⋮ Memory response in a two‐dimensional transversely isotropic thick plate with varying heat source ⋮ Two temperature theory on a micropolar thermoelastic media with voids under the effect of inclined load via three‐phase‐lag model ⋮ Boundary integral equation formulation for coupled thermoelasticity with three phase-lags ⋮ Generalized thermoelastic interaction in a functionally graded isotropic unbounded medium due to varying heat source with three-phase-lag effect ⋮ Thermoelastic response in a symmetric spherical shell ⋮ Deformation of a rotating two-temperature generalized-magneto thermoelastic medium with internal heat source due to hydrostatic initial stress ⋮ Effects of phase lags on wave propagation in an infinite solid due to a continuous line heat source ⋮ Thermoelastic interactions in an unbounded solid due to a continuous heat source using the modified TPL G–N model ⋮ On the regularity and stability of three-phase-lag thermoelastic plate

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