Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0696.35187
Kriegsmann, G.A.; Olmstead, W.E.
Source identification for the heat equation. (English)
[J] Appl. Math. Lett. 1, No.3, 241-245 (1988). ISSN 0893-9659

Summary: The problem of determining an unknown heat source in a homogeneous, semi- infinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components. Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is also treated.

MSC 2000:: *35R30 Inverse problems for PDE
35K05 Heat equation
44A10 Laplace transform
80A20 Heat and mass transfer

Keywords: source identification

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]