Heat conduction on the ring: Interface problems with periodic boundary conditions |
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Affiliation: | Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA |
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Abstract: | The classical problem of heat conduction in one dimension on a composite ring is examined. The problem is formulated using the heat equation with periodic boundary conditions. We provide an explicit solution of this problem using the Method of Fokas. The location of the interfaces is known, but neither temperature nor heat flux are prescribed there. Instead, the physical assumption of continuity at the interface is imposed. |
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Keywords: | Method of Fokas Heat equation Periodic boundary conditions Interface |
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