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Homogenization of heat equation with hysteresis

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  • Franců, Jan

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.

Suggested Citation

  • Franců, Jan, 2003. "Homogenization of heat equation with hysteresis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 591-597.
    • Handle: RePEc:eee:matcom:v:61:y:2003:i:3:p:591-597
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    Cited by:

    1. Franců, Jan, 2021. "Problems with uncertain hysteresis operators and homogenization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 368-379.

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