396 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP38 papers
- The University of TokyoJP29 papers
- Nagoya UniversityJP26 papers
- Kyushu UniversityJP24 papers
- The University of OsakaJP24 papers
- Tokai UniversityJP24 papers
- Boston UniversityUS23 papers
- California State University, Dominguez HillsUS23 papers
- Chonnam National UniversityKR23 papers
- Duke UniversityUS23 papers
- Gifu UniversityJP23 papers
- Institute for Cosmic Ray ResearchJP23 papers
7 papers · 1 filter
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…
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…
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…