NAOKI TSUGE

Last Updated :2025/11/04

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

Basic Information

Academic Degrees

  • Kyoto University
  • Kyoto University

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 4Term, Seminar in Basic Mathematics II
  2. 2025, Undergraduate Education, 1Term, Applied Mathematics II
  3. 2025, Undergraduate Education, 2Term, Applied Mathematics III
  4. 2025, Undergraduate Education, 1Term, Engineering Mathematics A
  5. 2025, Graduate Education (Master's Program) , 4Term, Mathematics B
  6. 2025, Graduate Education (Master's Program) , Intensive, Special Lecture on Electrical, Systems, and Control Engineering A

Research Activities

Academic Papers

  1. Positive solutions to the prey-predator equations with dormancy of predators., European J. Appl. Math., 35(1), 96-108, 2024
  2. Global existence and stability of solutions to river flow system., Commun. Appl. Math. Comput., 5(3), 1247-1255, 2023
  3. Uniformly time-independent L^{infty} estimate for a one-dimensional hydrodynamic model of semiconductors., Front. Math., 18(2), 385-394, 2023
  4. Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force in a bounded interval., Arch. Ration. Mech. Anal., 247(3), 2023
  5. Global existence of a solution for isentropic gas flow in the Laval nozzle with a friction term., SIAM J. Math. Anal., 54(2), 2142-2162, 2022
  6. Remarks on the energy inequality of a global L^{infty} solution to the compressible Euler equations for the isentropic nozzle flow., Commun. Math. Sci., 19(6), 1611-1626, 2021
  7. A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction., Osaka J. Math., 58(1), 59-70, 2021
  8. Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow. Hyperbolic problems: theory, numerics, applications., AIMS Ser. Appl. Math., 10, 666-673, 2020
  9. Global existence and stability to the polytropic gas dynamics with an outer force., Appl. Math. Lett., 95, 36-40, 2019
  10. Global existence and stability to the polytropic gas dynamics with an outer force, Applied Mathematics Letters, 95, 36-40, 2019
  11. Existence of a global solution for a scalar conservation law with a source term: nonlinear resonance, invariant region depending on the space variable., Acta Appl. Math., 147, 177-186, 2017
  12. Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data., Nonlinear Anal. Real World Appl., 37, 217-238, 2017
  13. Existence and stability of solutions to the compressible Euler equations with an outer force, Nonlinear Analysis: Real World Applications, 27, 203-220, 2016
  14. Existence of a global solution to a scalar conservation law with a source term for large data., J. Math. Anal. Appl., 432(2), 862-867, 2015
  15. Existence of global solutions for isentropic gas flow in a divergent nozzle with friction., Math. Anal. Appl., 426(2), 971-977, 2015
  16. Existence of a global solution to a scalar conservation law with a source term for large data, Journal of Mathematical Analysis and Applications, 432(2), 862-867, 2015
  17. ★, Isentropic gas flow for the compressible Euler equation in a nozzle., Arch. Ration. Mech. Anal., 209(2), 365-400, 2013
  18. ★, Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle., Arch. Ration. Mech. Anal., 205(1), 151-193, 2012
  19. Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors., Nonlinear Anal., 73(3), 779-787, 2010
  20. Uniqueness of the stationary solutions for a fluid dynamical model of semiconductors., Osaka J. Math., 46(4), 931-937, 2009
  21. Large time decay of solutions to isentropic gas dynamics with spherical symmetry., J. Hyperbolic Differ. Equ., 6(2), 371-387, 2009
  22. Global solutions to the compressible Euler equations with gravitational source., J. Hyperbolic Differ. Equ., 5(2), 317-346, 2008
  23. Large time decay of solutions to isentropic gas dynamics., Quart. Appl. Math., 65(1), 135-143, 2007
  24. ★, Global L^{infty} solutions of the compressible Euler equations with spherical symmetry., J. Math. Kyoto Univ., 46(3), 457-524, 2006
  25. Global L^{infty} solutions of the compressible Euler equations with damping and spherical symmetry., J. Math. Kyoto Univ., 44(1), 193-201, 2004
  26. Spherically symmetric flow of the compressible Euler equations—for the case including the origin., J. Math. Kyoto Univ., 44(1), 129-171, 2004
  27. The compressible Euler equations for an isothermal gas with spherical symmetry., J. Math. Kyoto Univ., 43(4), 737-754, 2004