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Boundary value problems associated with Newton's law of cooling

โœ Scribed by C. Constanda


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
197 KB
Volume
10
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


The existence of unique classical solutions is proved for the boundary integral equations arising in the interior and exterior Robin problems that model the steady-state temperature distribution in a thermally uniform cylinder with Newton's law of cooling on the contour.


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For a given linear differential operator, a bilinear identity is established between two arbitrary functions. By using this identity, two boundary value problems, each said to be the adjoint of the other, can be uniquely defined. An unconstrained variational principle follows immediately. The comple