Homogenization of heat equation with hysteresis

Jan Franců

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 591-597

Abstract: The contribution deals with heat equation in the form (cu+W[u])t=div(a·∇u)+f, where the nonlinear functional operator W[u] is a Prandtl–Ishlinskii hysteresis operator of play type characterized by a distribution function η. The spatially dependent initial boundary value problem is studied. Proof of existence and uniqueness of the solution is omitted since the proof is a slightly modified proof by Brokate–Sprekels.

Keywords: Prandtl–Ishlinskii operator; Homogenization; Heat equation (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:591-597

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