Third Boundary-Value Problem of the Heat Conduction Equation for a System with Plane-Parallel Boundaries

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dc.creatorUsenko, A. S.
dc.date2001-02-21
dc.date.accessioned2026-07-07T04:28:18Z
dc.date.available2026-07-07T04:28:18Z
dc.descriptionWe obtained a new representation of a solution of the heat conduction equation with boundary condition of the third kind for a layer. The result is presented as a superposition of fundamental solutions for an unbounded system with variable coefficients, the explicit form of which is given. We consider the well-known problem of the evolution of the temperature field initially uniformly distributed in a layer. The distribution of the temperature field is represented in terms of the obtained functions.
dc.description16 pages, 2 figures, RevTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0102021
dc.identifierhttp://arxiv.org/abs/math-ph/0102021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56737
dc.subjectMathematical Physics
dc.subject35K05; 35K20
dc.titleThird Boundary-Value Problem of the Heat Conduction Equation for a System with Plane-Parallel Boundaries
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