33 citations · 74 across the 12 of their papers we have counts for
12 papers
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms
Yoshiyuki Kagei, Hiroshi Takeda
Existence and stability of time periodic solutions for nonlinear elastic wave equations with viscoelastic terms are established. The existence of the time periodic solution is prov…
Large time behavior for the nonlinear dissipative Boussinesq equation
Wenhui Chen, Hiroshi Takeda
In this paper, we study the nonlinear dissipative Boussinesq equation in the whole space with integrable data. As our preparations, the optimal estimates as we…
Large-time asymptotic behaviors for the classical thermoelastic system
Wenhui Chen, Hiroshi Takeda
In this paper, we study the classical thermoelastic system with Fourier's law of heat conduction in the whole space when , particularly, asymptotic profiles…
Large-time asymptotic behaviors for linear Blackstock's model of thermoviscous flow
Wenhui Chen, Hiroshi Takeda
In the classical theory of acoustic waves, Blackstock's model was proposed in 1963 to characterize the propagation of sound in thermoviscous fluids. In this paper, we investigate l…
Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case
Wenhui Chen, Hiroshi Takeda
In this paper, we study large-time behaviors for a fundamental model in nonlinear acoustics, precisely, the viscous Jordan-Moore-Gibson-Thompson (JMGT) equation in the whole space…
Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Yoshiyuki Kagei, Hiroshi Takeda
The Cauchy problem for a nonlinear elastic wave equations with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solu…
Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao, Hiroshi Takeda
In this paper, we consider the Cauchy problem for semi-linear wave equations with structural damping term , where is a constant. As being mentioned in [8,10], th…
Asymptotic profile of solutions for strongly damped Klein-Gordon equations
Ryo Ikehata
We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple metho…
Uniform energy decay for wave equations with unbounded damping coefficients
Ryo Ikehata, Hiroshi Takeda
We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform t…
Asymptotic profiles of solutions for structural damped wave equations
Ryo Ikehata, Hiroshi Takeda
In this paper, we obtain several asymptotic profiles of solutions to the Cauchy problem for structurally damped wave equations ,…
Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
Ryo Ikehata, Hiroshi Takeda
In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global…
Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
Tatsuki Kawakami, Hiroshi Takeda
We study the Cauchy problem for a nonlinear damped wave equation. Under suitable assumptions for the nonlinearity and the initial data, we obtain the global solution which satisfie…