Istituto di Matematica Applicata e Tecnologie Informatiche     
Shirakawa K. Structure of the solution flow for steady-state problems of one-dimensional Fre'mond models of shape memory alloys. Preprint ercim.cnr.ian//2001-1223, 2001.
In this paper, we consider a steady-state problem of one-dimensional Fre'mond model of shape memory alloys. Recently, the detailed structure of steady-state solutions has been studied. According to the result, we see a sudden change of solution sets at the critical temperature. The main objective of this paper is to give more detailed information for the variation of solution sets with respect to (steady-state) temperature. More precisely, we shall characterize the variation of solution sets by Hausdorff distance between any steady-state solution at a temperature and any solution set at another temperature.
Subject Steady-state problems for Fre'mond model of SMA, flow of solution sets, characterization of the variation of the flow by Hausdorff distance
35J25, 35J55, 35J65

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