output
19942026
most citedSolar neutrino results in Super-Kamiokande-III

396 citations

Showing math.APShow all

7 papers · 1 filter

math.AP2022★ 5 cited

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…

math.AP2022★ 1 cited

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…

math.AP2022★ 16 cited

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…

math.AP2018★ 33 cited

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…

math.AP2017★ 2 cited

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…

math.AP2016★ 2 cited

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…

math.AP2016★ 10 cited

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…