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Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
 

Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys
Pages: 209 - 217, Volume 5, Issue 1, February 2012

doi:10.3934/dcdss.2012.5.209      Abstract        References        Full text (313.9K)           Related Articles

Takashi Suzuki - Division of Mathematical Science, Department of System Innovation, Graduate School of Engineering Science, Osaka University, 1-3 Machikane-yama, Toyonaka, Osaka, 560-8531, Japan (email)
Shuji Yoshikawa - Department of Engineering for Production and Environment, Graduate School of Science and Engineering, Ehime University, 3 Bunkyo-cho, Matsuyama, Ehime 790-8577, Japan (email)

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4 T. Suzuki, "Mean Field Theories and Dual Variation," Atlantis Press, Amsterdam, 2008.       
5 T. Suzuki and S. Tasaki, Stationary solutions to the Falk system on shape memory alloys, in preparation.
6 T. Suzuki and S. Yoshikawa, Stability of the steady state for the Falk model system of shape memory alloys, Math. Methods Appl. Sci., 30 (2007), 2233-2245.       
7 H. Triebel, "Interpolation Theory, Function Spaces, Differential Operators," North-Holland Mathematical Library 18, North-Holland Publishing Co., Amsterdam-New York, 1978.       
8 S. Yoshikawa, I. Pawłow and W. M. Zajączkowski, Quasilinear thermoelasticity system arising in shape memory materials, SIAM J. Math. Anal., 38 (2007), 1733-1759.       
9 S. Yoshikawa, I. Pawłow and W. M. Zajązkowski, A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat, Commun. Pure Appl. Anal., 8 (2009), 1093-1115.

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