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double damping term 10.1007/s00030-019-0603-5

In this paper, we consider wave equations with double damping terms expressed by $$u_{t}$$ut and $$-\Delta u_{t}$$-Δut and a power type of nonlinearity $$\vert u\vert ^{p}$$|u|p.

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double damping term 10.3934/EECT.2019040

We consider the Cauchy problem in \begin{document}$ {\bf R}^{n} $\end{document} for some wave equations with double damping terms, that is, one is the frictional damping \begin{document}$ u_{t}(t, x) $\end{document} and the other is very strong structural damping expressed as \begin{document}$ (-\Delta)^{\theta}u_{t}(t, x) $\end{document} with \begin{document}$ \theta > 1 $\end{document}.

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10.1016/J.CHAOS.2021.110673

We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms.

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10.1016/J.OCEANENG.2021.108719

Heave and pitch responses of spar platform with single and double damping plates under regular waves are discussed in this paper.

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10.1007/s00030-019-0603-5

In this paper, we consider wave equations with double damping terms expressed by $$u_{t}$$ut and $$-\Delta u_{t}$$-Δut and a power type of nonlinearity $$\vert u\vert ^{p}$$|u|p.

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10.1155/2019/2942890

As a technological innovation of high-power hydraulic rock drill, double damping system has a very important effect on impact performance.

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10.3934/EECT.2019040

We consider the Cauchy problem in \begin{document}$ {\bf R}^{n} $\end{document} for some wave equations with double damping terms, that is, one is the frictional damping \begin{document}$ u_{t}(t, x) $\end{document} and the other is very strong structural damping expressed as \begin{document}$ (-\Delta)^{\theta}u_{t}(t, x) $\end{document} with \begin{document}$ \theta > 1 $\end{document}.

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10.1186/s13661-019-01297-0

In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms.

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10.3934/cpaa.2020079

In this article, we study semi-linear $\sigma$-evolution equations with double damping including frictional and visco-elastic damping for any $\sigma\ge 1$.

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Double Damping

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Mar 25, 2023

What is/are Double Damping?

Double Damping - We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms. ^[1] Heave and pitch responses of spar platform with single and double damping plates under regular waves are discussed in this paper. ^[2] In this paper, we consider wave equations with double damping terms expressed by $$u_{t}$$ut and $$-\Delta u_{t}$$-Δut and a power type of nonlinearity $$\vert u\vert ^{p}$$|u|p. ^[3] As a technological innovation of high-power hydraulic rock drill, double damping system has a very important effect on impact performance. ^[4] We consider the Cauchy problem in \begin{document}$ {\bf R}^{n} $\end{document} for some wave equations with double damping terms, that is, one is the frictional damping \begin{document}$ u_{t}(t, x) $\end{document} and the other is very strong structural damping expressed as \begin{document}$ (-\Delta)^{\theta}u_{t}(t, x) $\end{document} with \begin{document}$ \theta > 1 $\end{document}. ^[5] In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. ^[6] In this article, we study semi-linear $\sigma$-evolution equations with double damping including frictional and visco-elastic damping for any $\sigma\ge 1$. ^[7]

double damping term

In this paper, we consider wave equations with double damping terms expressed by $$u_{t}$$ut and $$-\Delta u_{t}$$-Δut and a power type of nonlinearity $$\vert u\vert ^{p}$$|u|p. ^[1] We consider the Cauchy problem in \begin{document}$ {\bf R}^{n} $\end{document} for some wave equations with double damping terms, that is, one is the frictional damping \begin{document}$ u_{t}(t, x) $\end{document} and the other is very strong structural damping expressed as \begin{document}$ (-\Delta)^{\theta}u_{t}(t, x) $\end{document} with \begin{document}$ \theta > 1 $\end{document}. ^[2] In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. ^[3]