Heat conduction with nonlinear boundary condition

DOI10.1007/BF00946744zbMath0462.73099MaRDI QIDQ1152993

L. N. Tao

Publication date: 1981

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

zbMATH Keywords

exact solutionsemi-infinite regionabsolutely and uniformly convergentexpressed in infinite seriesnonlinear boundary condition at surfacesolution of one-dimensional heat equationStefan-Boltzmann's radiationtwo special cases of Newton's cooling

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05)

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Identification of nonlinear heat transfer laws from boundary observations ⋮ The method of boundary integral equations for two-dimensional singularly perturbed nonstationary heat problems with nonlinear boundary conditions ⋮ On a Stefan problem involving a special spherical region: Application of a Bergman-type expansion ⋮ Heat transfer for nonlinear boundary conditions involving radiation for constant and temperature related thermal conductivity material using the MWLS method ⋮ Gaseous absorption in a liquid ⋮ Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series ⋮ Infiltration in soils with prescribed boundary concentration ⋮ Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction

Cites Work

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• On a certain nonlinear integral equation of the Volterra type
• Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
• On the material time derivative of arbitrary order
• The Stefan problem with arbitrary initial and boundary conditions
• Free boundary problems with radiation boundary conditions
• A nonlinear second initial boundary value problem for the heat equation
• Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations
• Temperature of a nonlinearly radiating semi-infinite solid
• Heat transfer between solids and gases under nonlinear boundary conditions
• A Table of the First Eleven Repeated Integrals of the Error Function

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