For the minimal nonlinear thermoelasticity system on 2D and 3D tori, unique regular solutions exist globally for small initial data and locally for large data, with temperature stabilizing to a constant and the displacement splitting into persistent divergence-free oscillations and decaying…
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Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity
For the minimal nonlinear thermoelasticity system on 2D and 3D tori, unique regular solutions exist globally for small initial data and locally for large data, with temperature stabilizing to a constant and the displacement splitting into persistent divergence-free oscillations and decaying…