On averaging integral identities (Q1204600)
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: On averaging integral identities |
scientific article; zbMATH DE number 130681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On averaging integral identities |
scientific article; zbMATH DE number 130681 |
Statements
On averaging integral identities (English)
0 references
11 March 1993
0 references
The heat equation is considered in a periodic medium with heat conduction coefficient having a singularity of \(\delta\)-function type. Using homogenization, an averaged integral identity is derived which does not contain singularities. An asymptotic expansion of the solution is given with respect to a parameter \(\varepsilon>0\), with terms which can be derived succesively.
0 references
singular coefficients
0 references
heat equation
0 references
periodic medium
0 references
