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On the energy decay of a linear thermoelastic bar. (English) Zbl 0803.35150

Summary: It is proved that the energy of the one-dimensional linear thermoelastic system with the commonly used natural boundary conditions decays exponentially when the gradient of the initial displacement, the initial velocity, and the initial temperature distribution are all \(L^ 2\)- functions.

MSC:

35Q72 Other PDE from mechanics (MSC2000)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
47D03 Groups and semigroups of linear operators
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