84 citations · 169 across the 34 of their papers we have counts for
34 papers
Fast energy decay for damped wave equations with a potential and rotational inertia terms
Ruy Coimbra Charão, Ryo Ikehata
We consider damped wave equations with a potential and rotational inertia terms. We study the Cauchy problem for this model in the one dimensional Euclidean space and we obtain fas…
-growth property for wave equations with higher derivative terms
Ryo Ikehata, Xiaoyan Li
We consider the Cauchy problems in the whole space for wave equations with higher derivative terms. We derive sharp growth estimates of the -norm of the solution itself in the…
Fast energy decay for wave equation with a monotone potential and an effective damping
Xiaoyan Li, Ryo Ikehata
We consider the total energy decay of the Cauchy problem for wave equations with a potential and an effective damping. We treat it in the whole one-dimensional Euclidean space. Fas…
Energy decay for wave equations with a potential and a localized damping
Ryo Ikehata, Xiaoyan Li
We consider the total energy decay together with L^2-bound of the solution itself of the Cauchy problem for wave equations with a localized damping and a short-range potential. We…
A role of potential on L^{2}-estimates for some evolution equations
Ryo Ikehata
In this papwe we consider an effective role of the potential of the wave equations with/without damping on the L^{2}-estimate of the solution itself. In the free wave equation case…
Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations
Wenhui Chen, Ryo Ikehata
In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space . Concerning initial datum with suitable regularities, we introduce…
A note on local energy decay results for wave equations with a potential
Ryo Ikehata
In this paper we consider the local energy decay result for wave equations with a short-range potential. It is important to note that one never uses a finite speed of propagation p…
Asymptotic profile of L^2-norm of solutions for wave equations with critical log-damping
Ruy Coimbra Charão, Ryo Ikehata
We consider wave equations with a special type of log-fractional damping. We study the Cauchy problem for this model in the whole space, and we obtain an asymptotic profile and opt…
Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We consider strongly damped wave equations with logarithmic mass-like terms with a parameter . This research is a part of a series of wave equations that was initiated…
Optimal large-time estimates and singular limits for thermoelastic plate equations with the Fourier law
Wenhui Chen, Ryo Ikehata
In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with the Fourier law of heat conduction in the whole space , where we introdu…
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…
A dissiptive logarithmic type evolution equation: asymptotic profile and optimal estimates
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We introduce a new model of the logarithmic type of wave-like equation with a nonlocal logarithmic damping mechanism, which is rather weakly effective as compared with frequently s…
Asymptotic profiles for a wave equation with parameter dependent logarithmic damping
Ruy Coimbra Charao, Marcello D'Abbicco, Ryo Ikehata
We study a nonlocal wave equation with logarithmic damping which is rather weak in the low frequency zone as compared with frequently studied strong damping case. We consider the C…
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case
Wenhui Chen, Ryo Ikehata
In this paper, we study the Cauchy problem for the linear and semilinear Moore-Gibson-Thompson (MGT) equation in the dissipative case. Concerning the linear MGT model, by utilizing…
Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping
Ruy Coimbra Charao, Ryo Ikehata
We introduce a new model of the nonlocal wave equations with a logarithmic damping mechanism. We consider the Cauchy poroblem for the new model in the whole space. We study the asy…
Singular limit problem of abstract second order evolution equations
Ryo Ikehata, Motohiro Sobajima
We consider the singular limit problem in a real Hilbert space for abstract second order evolution equations with a parameter . We first give an alternative…
Thresholds for low regularity solutions to wave equations with structural damping
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We study the asymptotic behavior of solutions to wave equations with a structural damping term \[ u_{tt}-Δu+Δ^2 u_t=0, \qquad u(0,x)=u_0(x), \,\,\, u_t(0,x)=u_1(x), \] in the whole…
Asymptotic profiles for damped plate equations with rotational inertia terms
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We consider the Cauchy problem for plate equations with rotational inertia and frictional damping terms. We will derive asymptotic profiles of the solution in L^2-sense as time goe…
A Note on Decay Rates of the Local Energy for Wave Equations with Lipschitz Wavespeeds
Ruy Coimbra Charao, Ryo Ikehata
We consider the Cauchy problem for wave equations with variable coefficients in the whole space. We improve the rate of decay of the local energy, which has been recently studied b…