Monotonic asymptotic stability of a class of solutions along the coordinates
B. Vrdoljak (1980)
Matematički Vesnik
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B. Vrdoljak (1980)
Matematički Vesnik
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Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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J. Terjéki (1979)
Annales Polonici Mathematici
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M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Denis Matignon, Christophe Prieur (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study linear conservative systems of finite dimension coupled with an infinite dimensional system of diffusive type. Computing the time-derivative of an appropriate energy functional along the solutions helps us to prove the well-posedness of the system and a stability property. But in order to prove asymptotic stability we need to apply a sufficient spectral condition. We also illustrate the sharpness of this condition by exhibiting some systems for which we do not...
Jan Osička (1988)
Archivum Mathematicum
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Reinhard Racke (2003)
Banach Center Publications
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In this survey we first recall results on the asymptotic behavior of solutions in classical thermoelasticity. Then we report on recent results in linear magneto-thermo-elasticity and magneto-elasticity, respectively.