Abstract:Motivated by the modeling of temperature regulation in some mediums, we consider the non-classical heat conduction equation in the domain D = R n−1 × R + for which the internal energy supply depends on an average in the time variable of the heat flux (y, s) → V (y, s) = ux(0, y, s) on the boundary S = ∂D. The solution to the problem is found for an integral representation depending on the heat flux on S which is an additional unknown of the considered problem. We obtain that the heat flux V must satisfy a Volt… Show more
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