Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series (Q1063176)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series |
scientific article; zbMATH DE number 3914834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series |
scientific article; zbMATH DE number 3914834 |
Statements
Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series (English)
0 references
1985
0 references
Take the linear heat equation with variable coefficients on the half space \(x>0\). For \(x=0\) a nonlinear boundary condition is given. Under these conditions Bergman-type series solutions are constructed. As special cases of the nonlinear boundary conditions the Robin condition and the Stefan-Boltzmann radiation condition for small times are considered.
0 references
linear heat equation
0 references
variable coefficients
0 references
nonlinear boundary condition
0 references
Bergman-type series
0 references
Robin condition
0 references
Stefan-Boltzmann radiation condition
0 references
0 references
