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Inventi Impact: Engineering Mathematics

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  • Inventi:eem/32758/20
    Logarithmic Decay of Wave Equation with Kelvin-Voigt Damping
    Research 2020 : October - December
    Luc Robbiano, Qiong Zhang

    In this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt\nDamping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman\nestimate, and then establish an estimate on the corresponding resolvent operator. As a result,\nwe show the logarithmic decay rate for energy of the system without any geometric assumption on\nthe subdomain on which the damping is effective.

    How to Cite this Article
    Attribution/ CC Compliant Citation:Robbiano, Luc, and Qiong Zhang. \"Logarithmic Decay of Wave\nEquation with Kelvin-Voigt Damping.\" Mathematics 8.5 (2020): 715.\nhttps://doi.org/10.3390/math8050715\nhttp://creativecommons.org/licenses/by/4.0/\nSome formatting elements, header, footer, logos, dates and pagination were modified while\nadapting this article.
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