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Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy

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 نشر من قبل Xiaojun Wang
 تاريخ النشر 2015
  مجال البحث
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We are interested in the Moore-Gibson-Thompson(MGT) equation with memory begin{equation} onumber tau u_{ttt}+ alpha u_{tt}+c^2A u+bA u_t -int_0^tg(t-s)A w(s)ds=0. end{equation} We first classify the memory into three types. Then we study how a memory term creates damping mechanism and how the memory causes energy decay.

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