Masahiro Ikeda, Koichi Taniguchi, Yuta Wakasugi. Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces. Evolution Equations and Control Theory. 2024
Motohiro Sobajima, Yuta Wakasugi. Asymptotic expansion of solutions to the wave equation with space-dependent damping. Asymptotic Analysis. 2023. 134. 1-2. 241-279
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition. Journal of Differential Equations. 2023. 365. 905-926
Yuta Wakasugi. Decay property of solutions to the wave equation with space-dependent damping, absorbing nonlinearity, and polynomially decaying data. Mathematical Methods in the Applied Sciences. 2023. 46. 6. 7067-7107
Kimitoshi Tsutaya, Yuta Wakasugi. Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Partial Differential Equations and Applications. 2022. 3. 1
小薗英雄、寺澤祐高、若杉勇太. Liouville-type theorems for the stationary and nonstationary Navier-Stokes equations. 数理解析研究所講究録. 2017. 2041. 2041. 112-121
若杉 勇太. Asymptotic profiles of solutions to the semilinear wave equation with time-dependent damping (Developments of the theory of evolution equations as the applications to the analysis for nonlinear phenomena). 数理解析研究所講究録. 2016. 1997. 140-155
西原 健二, 若杉 勇太. Critical exponent for the Cauchy problem to the weakly coupled damped wave system (Regularity and Singularity for Partial Differential Equations with Conservation Laws). 数理解析研究所講究録. 2015. 1962. 59-67
講演・口頭発表等 (51件):
Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
(日本数学会2024年度年会 2024)
Lifespan estimates for semillinear damped wave equation in a two-dimensional exterior domain
(The 20th Linear and Nonlinear Waves 2023)
Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations
(日本数学会2023年度秋季総合文化会 2023)