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The method of the `carry over' of integral transforms in nonlinear mass and heat transfer problems

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Publication:1825715
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DOI10.1016/0017-9310(90)90151-JzbMath0684.76099OpenAlexW2067519359MaRDI QIDQ1825715

V. V. Dil'man, Andrei D. Polyanin

Publication date: 1990

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0017-9310(90)90151-j


zbMATH Keywords

boundary conditionsnonlinear problemsBessel transformsLaplace-Carson transformnon- stationary mass and heat transfer


Mathematics Subject Classification ID

Diffusion (76R50) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items (4)

Existence of an exact solution for a one-phase Stefan problem with nonlinear thermal coefficients from Tirskii's method ⋮ Explicit solutions for a two-phase unidimensional Lamé-Clapeyron-Stefan problem with source terms in both phases ⋮ Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term ⋮ Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion







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