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.

Critical exponent for semi-linear wave equations with double damping terms in exterior domains

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}.

Optimal energy decay rates for some wave equations with double damping terms

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.

A general nonexistence result for inhomogeneous semilinear wave equations with double damping and potential terms

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.

Effects of damping plate position on heave and pitch responses of spar platform with single and double damping plates under regular waves

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.

Critical exponent for semi-linear wave equations with double damping terms in exterior domains

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

Research on Impact Performance of Hydraulic Rock Drill with Floating Characteristics of Double Damping System

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}.

Optimal energy decay rates for some wave equations with double damping terms

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.

Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy

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

Study of semi-linear $\sigma$-evolution equations with frictional and visco-elastic damping.