Spatial decay estimate for the MGT-Fourier model on a semi-infinite cylinder in R2

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Abstract

This study investigates the spatial decay estimate for a coupled Moore-Gibson-Thompson (MGT)-Fourier system on a semi-infinite cylinder in R². The system is comprised of a third-order MGT displacement equation and a parabolic heat equation with symmetric coupling. Using a weighted energy functional and an integral-differential inequality, we establish the exponential decay along the axial direction. This result offers a generalized Saint-Venant principle for coupled dissipative thermoviscoelastic models, thus extending the classical analysis to higher-order systems and advancing our understanding of MGT equations in an unbounded domain.

Keywords

Saint-Venant principle / MGT-Fourier model / integral-differential inequality / semi-infinite cylinder

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