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On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring

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  • In our previous works we proposed and studied the mathematical model for the position of the joint of a shape memory alloy and a bias springs in case the temperature is known. The purpose of this paper is to establish a mathematical model with unknown temperature and to show a local existence of a solution to the model in time.
    Mathematics Subject Classification: Primary: 35R35.


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  • [1]

    T. Aiki, A mathematical model for a valve made of a spring of a shape memory alloy, in "Nonlinear Phenomena with Energy Dissipation," GAKUTO International Series, Mathematical Sciences and Applications, 29 (2008), 1-18.


    T. AikiThe position of the joint of shape memory alloy and bias springs, submitted.


    M. Brokate and J. Sprekels, "Hysteresis and Phase Transitions,'' Appl. Math. Sci., 121, Springer-Verlag, New York, 1996.

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