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Exponential stability in one‐dimensional non‐linear thermoelasticity with second sound
Author(s) -
Messaoudi Salim A.,
SaidHouari Belkacem
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.556
Subject(s) - mathematics , work (physics) , exponential stability , exponential function , exponential dichotomy , stability (learning theory) , mathematical analysis , exponential growth , second sound , linear system , sound (geography) , calculus (dental) , nonlinear system , differential equation , acoustics , physics , computer science , medicine , dentistry , quantum mechanics , machine learning , thermodynamics
In this paper, we consider a one‐dimensional non‐linear system of thermoelasticity with second sound. We establish an exponential decay result for solutions with small ‘enough’ initial data. This work extends the result of Racke ( Math. Methods Appl. Sci. 2002; 25 :409–441) to a more general situation. Copyright © 2004 John Wiley & Sons, Ltd.