| Chirita, S.: On the asymptotic partition of the energy in linear thermoelasticity. Quart. Appl. Math. 45 (1987), 327-340. |
....; 2 small enough similar to Section 2.1.1, we obtain dt G(t) c 1 E(t) with some constant c 0, and it follows the assertion of the Theorem. Q.e.d. 3 Equipartition of energy The partition of the energy for several kinds of elastic and thermoelastic problems was developed by several authors [4, 14, 3]. We study the general, possibly non homogeneous, anisotropic but with a center of symmetry case, where we have the di erential equations (1.9) 1.10) i.e. 3.1) 3.2) together with the initial conditions (1.3) and the boundary conditions (1.8) Here the Einstein summation ....
Chirita, S.: On the asymptotic partition of the energy in linear thermoelasticity. Quart. Appl. Math. 45 (1987), 327-340.
....the displacement vector field decay uniformly in time like t 3=2 while the free divergence part conserves its energy. In the special case of symmetrical solutions, when the material has a spherical shape it was shown in [9] that the total energy decays exponentially. For bounded domain Chirit a [1] proved the asymptotic equipartition of the mean kinetic and strain energy and that the thermal difference decays to zero, but no rate of decay was obtained. However, the question about uniformly rate of decay for bounded domains in its general form seems to be untouched. So, to fill this gap we ....
S. Chirit~a; On the asymptotic partition of the energy in linear thermoelasticity. Quaterly of App. Math. Vol XLV, 2 (1987) 327-370
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S. Chirita. On the asymptotic partition of the energy in linear thermoelasticity. Quaterly of App. Math. Vol XLV, 2, 1987 pg 327-370
No context found.
S. Chirita. On the asymptotic partition of the energy in linear thermoelasticity. Quaterly of App. Math. Vol XLV, 2, 1987 pg 327-370
No context found.
S. Chirita. On the asymptotic partition of the energy in linear thermoelasticity. Quaterly of App. Math. Vol XLV, 2, 1987 pg 327-370
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