Research theme for competitive and other funds (8)：
2024 - 2029 実解析的手法とエネルギー法による消散的双曲型偏微分方程式の研究
2022 - 2027 非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用
2020 - 2024 Smoothing estimates for dissipative evolutions equations and applications to nonlinear problems
2018 - 2022 非線形消散波動方程式の解がもつ波動的性質の解明
2016 - 2020 消散構造を持つ非線形波動方程式の解の大域挙動
2016 - 2019 Study of second order elliptic operators with unbounded coefficients
2015 - 2016 超局所解析および調和解析を用いた消散型波動方程式の解の漸近挙動の研究
2013 - 2015 消散型波動方程式の漸近解析
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Papers (47)：
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
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi. Liouville-type theorems for the stationary and nonstationary Navier-Stokes equations. RIMS, Kokyuroku,. 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
Nishihara Kenji, Wakasugi Yuta. Critical exponent for the Cauchy problem to the weakly coupled damped wave system (Regularity and Singularity for Partial Differential Equations with Conservation Laws). RIMS Kokyuroku. 2015. 1962. 59-67
Lectures and oral presentations (51)：
Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
(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)
2020/04 - 現在 Hiroshima University Graduate School of Advanced Science and Engineering Associate Professor
2019/09 - 2020/03 Hiroshima University Graduate School of Engineering Associate Professor
2017/01 - 2019/08 Ehime University Department of Engineering for Production and Environment, Graduate School of Science and Engineering Lecturer
2015/04 - 2016/12 Nagoya University Graduate School of Mathematics Research fellowship for young scientists, PD
2014/04 - 2015/03 Osaka University Graduate School of Science Research fellowship for young scientists, PD
Awards (2)：
2022/11 - Hiroshima Univeristy Phoenix Outstanding Researcher Award
2016/09 - The Mathematical Society of Japan MSJ Takebe Katahiro Prize for Encouragement of Young Researchers Studies on the asymptotic behavior of solutions to damped wave equations
Association Membership(s) (2)：
THE MATHEMATICAL SOCIETY OF JAPAN
, ISAAC (The International Society for Analysis, its Applications and Computation)
