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Global Well-Posedness and Conditional Asymptotic Stability for a Coupled Wave-MGT System with Logarithmic Nonlinearity

Ha, Tae Gab
arXiv (All) · Papers
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analysis-of-pdes
We study a coupled system formed by a conservative wave equation and a dissipative Moore-Gibson-Thompson (MGT) equation on a bounded domain. The wave component is driven by the logarithmic source $f(u)=|u|^{γ-2}u\ln|u|$, $2<γ<\frac{2(n-1)}{n-2}$, and carries no direct damping. Rather than employing
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