YUUTA WAKASUGI

Last Updated :2024/12/07

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

Basic Information

Major Professional Backgrounds

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

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
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  • ISAAC (The International Society for Analysis, its Applications and Computation)
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Educational Activity

Course in Charge

  1. 2024, Liberal Arts Education Program1, 2Term, Seminar in Basic Mathematics I
  2. 2024, Undergraduate Education, 1Term, Applied Mathematics II
  3. 2024, Undergraduate Education, 3Term, Applied Mathematics III
  4. 2024, Graduate Education (Master's Program) , 1Term, Special Exercises on Electrical, Systems, and Control Engineering A
  5. 2024, Graduate Education (Master's Program) , 2Term, Special Exercises on Electrical, Systems, and Control Engineering A
  6. 2024, Graduate Education (Master's Program) , 3Term, Special Exercises on Electrical, Systems, and Control Engineering B
  7. 2024, Graduate Education (Master's Program) , 4Term, Special Exercises on Electrical, Systems, and Control Engineering B
  8. 2024, Graduate Education (Master's Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering
  9. 2024, Graduate Education (Master's Program) , 2Term, Advanced Applied Mathematical Sciences
  10. 2024, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering

Research Activities

Academic Papers

  1. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 63(240), 1-23, 202412
    Link to Paper Search Results by DOI
  2. Liouville-type theorems for the Taylor-Couette-Poiseuille flow of the stationary Navier-Stokes equations, JOURNAL OF FLUID MECHANICS, 989(A7), 1-20, 20240729
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  3. ASYMPTOTIC PROFILES FOR THE CAUCHY PROBLEM OF DAMPED BEAM EQUATION WITH TWO VARIABLE COEFFICIENTS AND DERIVATIVE NONLINEARITY, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 44(8), 2280-2308, 202408
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  4. GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR SEMILINEAR DAMPED WAVE EQUATIONS ON MEASURE SPACES, EVOLUTION EQUATIONS AND CONTROL THEORY, 13(4), 1101-1125, 202408
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  5. Asymptotic expansion of solutions to the wave equation with space-dependent damping, ASYMPTOTIC ANALYSIS, 134(1-2), 241-279, 20230804
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  6. 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, 365, 905-926, 20230825
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  7. Decay property of solutions to the wave equation with space-dependent damping, absorbing nonlinearity, and polynomially decaying data, Mathematical Methods in the Applied Sciences, 20230106
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  8. Asymptotic Properties of Steady and Nonsteady Solutions to the 2D Navier-Stokes Equations with Finite Generalized Dirichlet Integral, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 71(3), 1299-1316, 202207
  9. Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl, JOURNAL OF FUNCTIONAL ANALYSIS, 282(2), 20220115
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  10. Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions, APPLIED NUMERICAL MATHEMATICS, 171, 1-22, 202201
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  11. Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime, Partial Differential Equations and Applications, 3(1-6), 1-10, 20211223
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  12. On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 28(6), 202112
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  13. Unconditional well-posedness for the energy-critical nonlinear damped wave equation, JOURNAL OF EVOLUTION EQUATIONS, 21(4), 5171-5201, 20211007
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  14. On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, BOUNDARY VALUE PROBLEMS, 2021(1), 20211120
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  15. Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime, Reviews in Mathematical Physics, 34(2250003), 1-16, 20210928
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  16. On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 500(2), 20210815
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  17. Remark on One Dimensional Semilinear Damped Wave Equation in a Critical Weighted L2-space, Geometric Properties for Parabolic and Elliptic PDE's, 291-305, 20210330
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  18. Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations, Journal of the Mathematical Society of Japan, 1-38, 20210123
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  19. 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
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  20. 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
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  21. Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains, Mathematische Annalen, 1-13, 20200702
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  22. Lifespan of solutions for a weakly coupled system of semilinear heat equations, Tokyo J. Math., 43(1), 163-180, 202006
  23. 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
  24. Movement of time-delayed hot spots in Euclidean space for special initial states, Discrete Contin. Dyn. Syst., 40(5), 2705-2738, 2020
  25. Second order asymptotic expansion for wave equations with time- dependent dissipation in one-space dimension, Advanced Studies in Pure Mathematics, 81, 401-419, 20191031
  26. Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(5), 201908
  27. 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
  28. 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
  29. Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping, J. Hyperbolic Differ. Equ., 16(3), 495-517, 2019
  30. Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient, APPLIED MATHEMATICS LETTERS, 76, 236-241, 2018
  31. DIFFUSION PHENOMENA FOR THE WAVE EQUATION WITH SPACE-DEPENDENT DAMPING TERM GROWING AT INFINITY, ADVANCES IN DIFFERENTIAL EQUATIONS, 23(7-8), 581-614, 2018
  32. 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
  33. Critical exponent for the semilinear wave equations with a damping increasing in the far field, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 25(6), 2018
  34. 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
  35. 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
  36. Movement of time-delayed hot spots in Euclidean space, MATHEMATISCHE ZEITSCHRIFT, 285(3-4), 1007-1040, 2017
  37. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(2), 2017
  38. BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017
  39. 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
  40. Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain, JOURNAL OF DIFFERENTIAL EQUATIONS, 261(10), 5690-5718, 20161115
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  41. A NOTE ON THE LIFESPAN OF SOLUTIONS TO THE SEMILINEAR DAMPED WAVE EQUATION, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143(1), 163-171, 201501
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  42. Global existence of solutions for a weakly coupled system of semilinear damped wave equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 259(8), 4172-4201, 20151015
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  43. 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
  44. 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, 201409
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  45. Critical exponent for the Cauchy problem to the weakly coupled damped wave system, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 108, 249-259, 201410
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  46. On diffusion phenomena for the linear wave equation with space-dependent damping, JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(4), 795-819, 2014
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  47. 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
  48. Small data global existence for the semilinear wave equation with space-time dependent damping, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 393(1), 66-79, 20120901
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  49. Some examples causing energy growth for solutions to wave equations, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(8), 136-141, 20110801

Invited Lecture, Oral Presentation, Poster Presentation

  1. Asymptotic behavior of solutions to elliptic equations in 2D exterior domains, Yuta Wakasugi, Hideo Kozono, Yutaka Terasawa, MSJ Autumn Meeting 2024, 2024/09, Without Invitation, Japanese, The Mathematical Society of Japan, Osaka University
  2. Lifespan estimates for semillinear damped wave equation in a two-dimensional exterior domain, Yuta Wakasugi, The 20th Linear and Nonlinear Waves, 2023/11/22, With Invitation, English, Osaka University, Osaka University
  3. Asymptotic expansion of solutions to the wave equation with space-dependent damping, Yuta Wakasugi, Symposium on Evolution Equations, 2023/07/27, With Invitation, English, the Federal University of Santa Catarina, the Federal University of Santa Catarina, Campus Florianopolis
  4. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain, Yuta Wakasugi, 14th ISAAC Congress, 2023/07/17, With Invitation, English, International Society for Analysis, its Applications and Computation (ISAAC), University of Sao Paulo
  5. Asymptotic expansion of solutions to the wave equation with space-dependent damping, Yuta Wakasugi, The 40th Kyushu Symposium on Partial Differential Equations, 2023/01/30, With Invitation, English, Kyushu University, Kyushu University
  6. Asymptotic expansion of solutions to the wave equation with space-dependent damping, Motohiro Sobajima, Yuta Wakasugi, MSJ Autumn Meeting, 2022/09/16, Without Invitation, Japanese, Mathematical Society of Japan, Hokkaido University
  7. Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, Yuta Wakasugi, Mathematical Analysis of Nonlinear Dispersive and Wave Equations, 2022/08/26, With Invitation, English, Waseda University
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  8. Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition, Yuta Wakasugi, MSJ Spring meeting, 2022/03/31, Without Invitation, Japanese, Mathematical Society of Japan, Saitama University (Online)
  9. Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2022/01/22, With Invitation, Japanese
  10. Energy decay of solutions to the wave equation with space-dependent damping, Yuta Wakasugi, Osaka City University Colloquium, 2021/12/08, With Invitation, Japanese, Osaka City University
  11. Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2021/12/04, With Invitation, Japanese
  12. Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces, Yuta Wakasugi, Recent Advances in Nonlinear Evolution Equations, 2021/11/30, With Invitation, English, Online
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  13. Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces, Yuta Wakasugi, 2021/11/28, With Invitation, Japanese
  14. Energy decay of solutions to the wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, MSJ Autumn Meeting 2021, 2021/09/17, Without Invitation, Japanese, Mathematical Society of Japan, Chiba University (Online)
  15. Blow up of solutions of semilinear wave equations in de Sitter spacetime, Yuta Wakasugi, MSJ Autumn Meeting 2021, 2021/09/17, Without Invitation, Japanese, Mathematical Society of Japan, Chiba University (Online)
  16. Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2021/08/23, With Invitation, Japanese
  17. Asymptotic properties of steady solutions to the 3D axisymmetric Navier– Stokes equations with no swirl, H. Kozono, Y. Terasawa, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/18, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (online)
  18. Asymptotic behavior of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains, H. Kozono, Y. Terasawa, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/18, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (Online)
  19. On heatlike lifespan of solutions of semilinear wave equations in Friedmann– Lemaitre–Robertson–Walker spacetime, K. Tsutaya, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/17, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (Online)
  20. Weighted energy estimates for solutions to the wave equation with space-dependent damping, Yuta Wakasugi, 2021/01/10, Without Invitation, Japanese, Yamaguchi University
  21. 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
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  22. Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2020/01/04, Without Invitation, Japanese, Yamaguchi University
  23. 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
  24. Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2019/10/05, With Invitation, Japanese, Mie University
  25. 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
  26. 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
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  27. 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
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External Funds

Acceptance Results of Competitive Funds

  1. Grant-in-Aid for Scientific Research (C), Study of dissipative hyperbolic partial differential equations by real analysis and energy method, 2024/04/01, 2029/03/31
  2. Grant-in-Aid for Scientific Research (A), 2022/04/01, 2027/03/31
  3. Grant-in-Aid for Early-Career Scientists, Smoothing estimates for dissipative evolutions equations and applications to nonlinear problems, 2020/04/01, 2024/03/31
  4. Grant-in-Aid for Scientific Research (B), 2018/04/01, 2022/03/31
  5. Grant-in-Aid for Young Scientists (B), 2016/04/01, 2020/03/31

Social Activities

History as Committee Members

  1. Information Committee, 2020/04, 2024/03, Division of Functional Equations， The Mathematical Society of Japan

Organizing Academic Conferences, etc.

  1. 2024/10, 2024/10
  2. International Meeting on Recent Developments in the Wave Equation and Related Evolution Equations, Organizing committee, 2024/08, 2024/08
  3. HMAセミナー・冬の研究会 2024, 2024/01, 2024/01
  4. HMAセミナー・冬の研究会 2020, 2020/01, 2020/01