84 citations · 169 across the 34 of their papers we have counts for
6 papers · 1 filter
Decay properties and asymptotic behaviors for a wave equation with general strong damping
Wenhui Chen, Ryo Ikehata
In this paper, we study the Cauchy problem for a wave equation with general strong damping motivated by [Tao, Anal. PDE (2009)] and [Ebert-Girardi-Reissig, Math. Ann.…
L^{2}-blowup estimates of the plate equation
Ryo Ikehata
We consider the Cauchy problems in n-dimensional Euclidean space for the plate equation with a weighted L^{1}-initial data. We derive optimal estimates of the L^{2}-norm of solutio…
-blowup estimates of the wave equation and its application to local energy decay
Ryo Ikehata
We consider the Cauchy problems in the whole space for the wave equation with a weighted L^{1}-initial data. We first derive sharp infinite time blowup estimates of the L^{2}-norm…
Double diffusion structure of logarithmically damped wave equations with a small parameter
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We consider a wave equation with a nonlocal logarithmic damping depending on a small parameter . This research is a counter part of that was initiated by Charao-D'Abb…
A dissipative logarithmic-Laplacian type of plate equation: Asymptotic profile and decay rates
Ruy Coimbra Charao, Alessandra Piske, Ryo Ikehata
We introduce a new model of the logarithmic type of wave like plate equation with a nonlocal logarithmic damping mechanism. We consider the Cauchy problem for this new model in the…
Asymptotic behaviors for Blackstock's model of thermoviscous flow
Wenhui Chen, Ryo Ikehata, Alessandro Palmieri
We study a fundamental model in nonlinear acoustics, precisely, the general Blackstock's model (that is, without Becker's assumption) in the whole space . This model…