Theoretical analysis demonstrates algebraic spatial growth and decay estimates in linearised anisotropic thermoelasticity, highlighting asymptotic spatial behaviour across non-compact regions.
A quasi-static approximation is studied of linearised nonhomogeneous anisotropic compressible thermoelasticity on a non-compact region. Differential inequalities are constructed which under appropriate conditions lead to algebraic spatial growth and decay estimates for various cross-sectional and volume measures of the temperature, displacement and their spatial gradients.
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Knops et al. (2024) studied this question.
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