YUUTA WAKASUGI

Last Updated :2021/05/11

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
E-mail
wakasugihiroshima-u.ac.jp

Basic Information

Major Professional Backgrounds

  • 2017/01/01, 2019/08/31, Ehime University, Graduate School of Science and Engineering, Lecture
  • 2019/09/01, 2020/03/31, Hiroshima University, Graduate School of Engineering, Associate Professor
  • 2013/04/01, 2014/03/31, Osaka University, Research Fellowship for Young Scientists (DC2)
  • 2014/04/01, 2015/03/31, Osaka University, Research Fellowship for Young Scientists (PD)
  • 2015/04/01, 2016/12/31, Nagoya University, Research Fellowship for Young Scientists (PD)

Educational Backgrounds

  • Osaka University, Japan, 2011/04, 2014/03
  • Osaka University, Japan, 2009/04, 2011/03
  • Osaka Kyoiku University, Japan, 2004/04, 2009/03

Academic Degrees

  • Osaka University
  • Osaka University

Research Fields

  • Mathematical and physical sciences;Mathematics;Basic analysis
  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • Partial Differential Equations
  • Wave equations

Affiliated Academic Societies

  • The Mathematical Society of Japan
  • ISAAC (The International Society for Analysis, its Applications and Computation)

Educational Activity

Course in Charge

  1. 2021, Liberal Arts Education Program1, 2Term, Seminar in Basic Mathematics I
  2. 2021, Undergraduate Education, 1Term, Applied Mathematics II
  3. 2021, Undergraduate Education, 3Term, Applied Mathematics III
  4. 2021, Graduate Education (Master's Program) , 1Term, Special Exercises on Electorical, Systems, and Control Engineering A
  5. 2021, Graduate Education (Master's Program) , 2Term, Special Exercises on Electorical, Systems, and Control Engineering A
  6. 2021, Graduate Education (Master's Program) , 3Term, Special Exercises on Electorical, Systems, and Control Engineering B
  7. 2021, Graduate Education (Master's Program) , 4Term, Special Exercises on Electorical, Systems, and Control Engineering B
  8. 2021, Graduate Education (Master's Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering
  9. 2021, Graduate Education (Master's Program) , 4Term, Mathematics E
  10. 2021, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering

Research Activities

Academic Papers

  1. Classification of asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients: Effective damping case, J. Differential Equations, 272, 938-957, 20210115
  2. Blow-up of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime, Journal of Mathematical Physics, 61(9), 091503-01-091503-21, 20200903
  3. Lifespan of solutions for a weakly coupled system of semilinear heat equations, Tokyo J. Math., 43(1), 163-180, 202006
  4. Movement of time-delayed hot spots in Euclidean space for special initial states, Discrete Contin. Dyn. Syst., 40(5), 2705-2738, 2020
  5. Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case, Proc. Amer. Math. Soc., 148(1), 157-172, 2020
  6. Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping, J. Hyperbolic Differ. Equ., 16(3), 495-517, 2019
  7. Second order asymptotic expansion for wave equations with time- dependent dissipation in one-space dimension, Advanced Studies in Pure Mathematics, 81, 401-419, 20191031
  8. L-p-L-q ESTIMATES FOR THE DAMPED WAVE EQUATION AND THE CRITICAL EXPONENT FOR THE NONLINEAR PROBLEM WITH SLOWLY DECAYING DATA, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18(4), 1967-2008, 2019
  9. Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 62(2), 157-189, 2019
  10. Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(5), 201908
  11. Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient, APPLIED MATHEMATICS LETTERS, 76, 236-241, 2018
  12. Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains, JOURNAL OF DIFFERENTIAL EQUATIONS, 265(4), 1227-1247, 2018
  13. Critical exponent for the semilinear wave equations with a damping increasing in the far field, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 25(6), 2018
  14. DIFFUSION PHENOMENA FOR THE WAVE EQUATION WITH SPACE-DEPENDENT DAMPING TERM GROWING AT INFINITY, ADVANCES IN DIFFERENTIAL EQUATIONS, 23(7-8), 581-614, 2018
  15. Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 447(1), 452-487, 2017
  16. A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions, JOURNAL OF FUNCTIONAL ANALYSIS, 272(2), 804-818, 2017
  17. Movement of time-delayed hot spots in Euclidean space, MATHEMATISCHE ZEITSCHRIFT, 285(3-4), 1007-1040, 2017
  18. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(2), 2017
  19. Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain, AIMS MATHEMATICS, 2(1), 1-15, 2017
  20. BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017
  21. Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain, JOURNAL OF DIFFERENTIAL EQUATIONS, 261(10), 5690-5718, 2016
  22. A NOTE ON THE LIFESPAN OF SOLUTIONS TO THE SEMILINEAR DAMPED WAVE EQUATION, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143(1), 163-171, 2015
  23. Global existence of solutions for a weakly coupled system of semilinear damped wave equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 259(8), 4172-4201, 2015
  24. CRITICAL EXPONENTS FOR THE CAUCHY PROBLEM TO THE SYSTEM OF WAVE EQUATIONS WITH TIME OR SPACE DEPENDENT DAMPING, BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 10(3), 283-309, 2015
  25. BLOW-UP OF SOLUTIONS TO THE ONE-DIMENSIONAL SEMILINEAR WAVE EQUATION WITH DAMPING DEPENDING ON TIME AND SPACE VARIABLES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 34(9), 3831-3846, 2014
  26. Critical exponent for the Cauchy problem to the weakly coupled damped wave system, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 108, 249-259, 2014
  27. On diffusion phenomena for the linear wave equation with space-dependent damping, JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(4), 795-819, 2014
  28. SMALL-DATA BLOW-UP OF L-2-SOLUTION FOR THE NONLINEAR SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE, DIFFERENTIAL AND INTEGRAL EQUATIONS, 26(11-12), 1275-1285, 2013
  29. Small data global existence for the semilinear wave equation with space-time dependent damping, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 393(1), 66-79, 2012
  30. Some examples causing energy growth for solutions to wave equations, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(8), 136-141, 2011

Invited Lecture, Oral Presentation, Poster Presentation

  1. Weighted energy estimates for solutions to the wave equation with space-dependent damping, Yuta Wakasugi, 2021/01/10, Without Invitation, Japanese, Yamaguchi University
  2. Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, Yuta Wakasugi, Webinar on Evolution Models, Critical exponent versus blow-up in evolution models, 2020/11/03, With Invitation, English, Online
  3. Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data, Yuta Wakasugi, 12th International ISAAC Congress, 2019/07/30, With Invitation, English, ISAAC, Aveiro University, Portugal
  4. Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2020/01/04, Without Invitation, Japanese, Yamaguchi University
  5. Asymptotic behavior of solutions to the wave equation with space-dependent damping and slowly decaying data, Yuta Wakasugi, Kyoto University NLPDE Seminar, 2019/11/01, With Invitation, Japanese, Kyoto University
  6. Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2019/10/05, With Invitation, Japanese, Mie University
  7. Lp-Lq estimates for the damped wave equation and their application to nonlinear problems, Yuta Wakasugi, MSJ Autumn Meeting 2019, 2019/09/20, With Invitation, Japanese, Mathematical Society of Japan, Kanazawa University
  8. Endpoint Strichartz estimate for the damped wave equation and its application, Yuta Wakasugi, Workshop on nonlinear PDE in Numazu, 2019/06/02, With Invitation, Japanese

Awards

  1. 2016, MSJ Takebe Katahiro Prize (Encouragement Prize), Mathematical Society of Japan, 消散型波動方程式の解の漸近挙動に関する研究

External Funds

Acceptance Results of Competitive Funds

  1. Grant-in-Aid for Early-Career Scientists, Smoothing estimates for dissipative evolutions equations and applications to nonlinear problems, 2020/04/01, 2024/03/31
  2. Grant-in-Aid for Scientific Research (B), 2018/04/01, 2022/03/31
  3. Grant-in-Aid for Young Scientists (B), 2016/04/01, 2020/03/31

Social Activities

History as Committee Members

  1. Information Committee, 2020/04, 2022/03, Division of Functional Equations, The Mathematical Society of Japan

Organizing Academic Conferences, etc.

  1. HMAセミナー・冬の研究会 2020, 2020/01, 2020/01