WAKASUGI YUTA

J-GLOBAL         Last updated: Sep 25, 2019 at 19:05
 
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Name
WAKASUGI YUTA
Affiliation
Hiroshima University
Section
Graduate School of Engineering
Research funding number
20771140

Research Areas

 
 

Academic & Professional Experience

 
Sep 2019
 - 
Today
Associate Professor, Graduate School of Engineering, Hiroshima University
 
Jan 2017
 - 
Today
Lecturer, Department of Engineering for Production and Environment, Graduate School of Science and Engineering, Ehime University
 
Apr 2015
 - 
Dec 2016
Research fellowship for young scientists, PD, Graduate School of Mathematics, Nagoya University
 
Apr 2014
 - 
Mar 2015
Research fellowship for young scientists, PD, Graduate School of Science, Osaka University
 

Awards & Honors

 
Sep 2016
Studies on the asymptotic behavior of solutions to damped wave equations, MSJ Takebe Katahiro Prize for Encouragement of Young Researchers, The Mathematical Society of Japan
 

Published Papers

 
Estimates of lifespan and blow-up rates for the wave equation with a time-depedent damping and a power-type nonlinearity
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
Funkcialaj Ekvacioj   62(2) 157-189   Aug 2019   [Refereed]
Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data
Motohiro Sobajima, Yuta Wakasugi
Communications in Contemporary Mathematics   21(5) 1850035-1-1850035-30   Jul 2019   [Refereed]
Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi
Communications on Pure and Applied Analysis   18(4) 1967-200   Jul 2019   [Refereed]
A remark on the critical exponent for the semilinear damped wave equation on the half-space
Yuta Wakasugi
in: the Proceedings of the 11th ISAAC Congress, Växjö(Sweden) 2017, Analysis, Probability, Applications, and Computation   389-394   Apr 2019   [Refereed]
Critical exponent for the semilinear wave equations with a damping increasing in the far field
Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi
NoDEA Nonlinear Differential Equations Appl.   25(6)    Nov 2018   [Refereed]
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
J. Differential Equations   265(4) 1227-1247   Aug 2018   [Refereed]
Motohiro Sobajima, Yuta Wakasugi
Adv. Differential Equations   23(7--8) 581-614   Jul 2018   [Refereed]
Shuji Yoshikawa, Yuta Wakasugi
Applied Mathematics Letters   76 236-241   Feb 2018   [Refereed]
© 2017 Elsevier Ltd We consider the Cauchy problem for the linear beam equation: u tt +u t +u xxxx −a(t)u xx =0,(t,x)∈R + ×R,where a(t)∼(1+t) α . The purpose of this study is to clarify the behavior of solution depending on the rate α. Here we sha...
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
Electronic Journal of Differential Equations   2017    Aug 2017   [Refereed]
© 2017 Texas State University. Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [...
Shigehiro Sakata, Yuta Wakasugi
Mathematische Zeitschrift   285 1007-1040   Apr 2017   [Refereed]
© 2016, Springer-Verlag Berlin Heidelberg.We investigate the shape of the solution of the Cauchy problem for the damped wave equation. In particular, we study the existence, location and number of spatial maximizers of the solution. Studying the s...
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
Nonlinear Differential Equations and Applications   24    Apr 2017   [Refereed]
© 2017, Springer International Publishing.We study the Cauchy problem for the nonlinear damped wave equation and establish the large data local well-posedness and small data global well-posedness with slowly decaying initial data. We also prove th...
A note on the blow-up of solutions to Nakao's problem
Yuta Wakasugi
Trends in Mathematics. Research Perspectives   545-551   Apr 2017   [Refereed]
Yuta Wakasugi
Journal of Mathematical Analysis and Applications   447 452-487   Mar 2017   [Refereed]
© 2016 Elsevier Inc.We study the asymptotic behavior of solutions for the semilinear damped wave equation with variable coefficients. We prove that if the damping is effective, and the nonlinearity and other lower order terms can be regarded as pe...
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
Journal of Functional Analysis   272 804-818   Jan 2017   [Refereed]
© 2016 Elsevier Inc.Consider the 3D homogeneous stationary Navier–Stokes equations in the whole space R3. We deal with solutions vanishing at infinity in the class of the finite Dirichlet integral. By means of quantities having the same scaling pr...
Motohiro Sobajima, Yuta Wakasugi
Journal of Differential Equations   261(10) 5690-5718   Nov 2016   [Refereed]
© 2016 Elsevier Inc.In this paper, we consider the asymptotic behavior of solutions to the wave equation with space-dependent damping in an exterior domain. We prove that when the damping is effective, the solution is approximated by that of the c...
Masahiro Ikeda, Yuta Wakasugi
Proceedings of the American Mathematical Society   143 163-171   Jan 2015   [Refereed]
© 2014 American Mathematical Society.This paper concerns estimates of the lifespan of solutions to the semilinear damped wave equation □u+Φ(t, x)ut = |u|p in (t, x) ∈ [0, ∞)×Rn, where the coefficient of the damping term is Φ(t, x) = (x)-α(1 + t)-β...
Kenji Nishihara, Yuta Wakasugi
Journal of Differential Equations   259(8) 4172-4201   Jan 2015   [Refereed]
© 2015 Elsevier Inc.In this paper, we consider the Cauchy problem for a weakly coupled system of semilinear damped wave equations. We prove the global existence of solutions for small data in the supercritical case for any space dimension. We also...
On the diffusive structure for the damped wave equation with variable coefficients
WAKASUGI YUTA
Osaka University      Mar 2014
Yuta Wakasugi
Journal of Hyperbolic Differential Equations   11(4) 795-819   Jan 2014   [Refereed]
© 2014 World Scientific Publishing Company.We study the diffusion phenomenon associated with the linear wave equation with space-dependent damping, and give a proof that the asymptotic profile of solutions is represented by solutions to the associ...
Yuta Wakasugi
Trends in Mathematics   63 375-390   Jan 2014   [Refereed]
© 2014 Springer International Publishing Switzerland.In this paper we consider the critical exponent problem for the semilinear damped wave equation with time-dependent coefficients. We treat the scale invariant cases. In this case the asymptotic ...

Conference Activities & Talks

 
Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data [Invited]
WAKASUGI YUTA
12th AIMS Conference on Dynamical Systems, Differential Equations and Applications   8 Jul 2018   
Asymptotic behavior of solutions to the wave equation with space-dependent damping [Invited]
WAKASUGI YUTA
11th ISAAC Congress (ISAAC2017)   14 Aug 2017   
Asymptotic behavior of solutions to the wave equation with space-dependent damping [Invited]
WAKASUGI YUTA
The 42nd Sapporo Symposium on Partial Differential Equations   8 Aug 2017   
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data [Invited]
WAKASUGI YUTA
PDE-Seminars, TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik Institut für Angewandte Analysis   25 Nov 2016   
Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients [Invited]
WAKASUGI YUTA
PDE-Seminars, TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik Institut für Angewandte Analysis   11 Nov 2016   
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
WAKASUGI YUTA
Mathematical Analysis for Stability in Nonlinear Dynamics   24 Aug 2016   
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data [Invited]
WAKASUGI YUTA
XVI International Conference on Hyperbolic Problems,Theory, Numerics, Applications (HYP2016)   2 Aug 2016   
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data [Invited]
WAKASUGI YUTA
International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics   21 Jul 2016   
Critical exponents for the Cauchy problem to weakly coupled system of wave equations with space or time dependent damping [Invited]
WAKASUGI YUTA
10th International ISAAC Congress (ISAAC2015)   7 Aug 2015   
A remark on the asymptotic profile of solutions to the damped wave equation with variable coefficients [Invited]
WAKASUGI YUTA
10th International ISAAC Congress (ISAAC 2015)   4 Aug 2015   
Critical exponent for the Cauchy problem to systems of semilinear damped wave equations [Invited]
WAKASUGI YUTA
International Conference on Recent Advances in Hyperbolic Partial Differential Equations   5 Dec 2014   
Critical exponent for the Cauchy problem to the weakly coupled damped wave system [Invited]
WAKASUGI YUTA
Asymptotic Analysis for Nonlinear Dispersive and Wave Equations   10 Sep 2014   
On diffusion phenomena for the linear wave equation with space-dependent damping [Invited]
WAKASUGI YUTA
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications   10 Jul 2014   
Critical exponent for the semilinear wave equation with scale invariant damping [Invited]
WAKASUGI YUTA
Fourier Analysis and Pseudo-Differential Operators   29 Jun 2012   
Some examples causing energy growth for solutions to wave equations [Invited]
WAKASUGI YUTA
PDE-Seminars, TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik Institut für Angewandte Analysis   25 Nov 2011   

Association Memberships