Exponential stability in one‐dimensional non‐linear thermoelasticity with second sound | Zendy

Messaoudi Salim A. | Zendy; SaidHouari Belkacem | Zendy

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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.

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