1. |
M. Okamura, Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field, *Journal of Fluid Mechanics*, 841, 521-551, 2018.04, This paper proposes a new two-point closure model that is compatible with the Kolmogorov -5/3 power law for homogeneous isotropic turbulence in an incompressible fluid using the Lagrangian specification of the flow field. A closed set of three equations was derived from the Navier--Stokes equation with no adjustable free parameters. The Kolmogorov constant and the skewness of the longitudinal velocity derivative were evaluated to be 1.779 and -0.49, respectively, using the proposed model. The bottleneck effect was also reproduced in the near-dissipation range.. |

2. |
Tomoaki Hirakawa, Makoto Okamura, Fully- and weakly-nonlinear biperiodic traveling waves in shallow water, *Fluid Dynamics Research*, 50, 2, 025510, 2018.04. |

3. |
Makoto Okamura, Modal time correlation functions for homogeneous isotropic turbulence in a projection operator method, *Physics of Fluids*, 27, 055102, 2015.05. |

4. |
A. Budiyono, B. E. Gunara, Makoto Okamura, K. Nakamura, Maxwell speed distribution and analogue Hawking-Unruh temperature in an ontological model of a Harmonic oscillator ground state, *Annals of Physics*, 354, 556-564, 2015.03. |

5. |
M. Okamura, Universality of modal time correlation functions in medium scale, *Journal of the Physical Society of Japan*, 83, 7, 074004 (6 pages), 2014.07. |

6. |
H. Mori and M. Okamura, Decay forms of the time correlation functions for turbulence and chaos, *Progress of Theoretical Physics*, 127, 4, 615-629, 2012.04. |

7. |
D. Tanaka and M. Okamura, Modal and total power spectra of Nikolaevskii turbulence, *Journal of the Physical Society of Japan*, 79, 12, 124004 (4 pages), 2010.12. |

8. |
A. Saeki and M. Okamura, A fluid-erosion-based model of landscape evolution, *Forma*, 25, 1, 23-26, 2010.08. |

9. |
M. Okamura, Almost limiting short-crested gravity waves in deep water, *Journal of Fluid Mechanics*, Vol. 646, 481-503, 2010.03, We investigate the properties of almost-limiting short-crested gravity waves with harmonic resonance for various incident angles. When the incident angle is less than 47.5, the enclosed crest angle in non-resonant limiting waves is 90, which corresponds to that in standing waves. In contrast, when the incident angle exceeds 47.5, the enclosed crest angle in non-resonant limiting waves is 120, which corresponds to that in two-dimensional progressive waves. The enclosed crest angle is 90 in resonant limiting waves for all incident angles. The crest becomes flatter than the trough in resonant limiting waves if the fundamental mode has a different sign from its harmonic resonant mode. Bifurcation of short-crested waves is also investigated.. |

10. |
H. Mori and M. Okamura, Dual structures of chaos and turbulence, and their dynamic scaling laws, *Physical Review E*, Vol. 80, 051124 (7 pages), 2009.11. |

11. |
M. Okamura and H. Mori, Time correlation functions in a similarity approximation for one-dimensional turbulence, *Physical Review E*, Vol. 79, 056312 (7 pages), 2009.05. |

12. |
H. Mori and M. Okamura, Dynamic structures of the time correlation functions of chaotic nonequilibrium fluctuations, *Physical Review E*, Vol. 76, 061104 (9 pages), 2007.12. |

13. |
M. Okamura, Validity of the essential assumption in a projection operator method, *Physical Review E*, Vol. 74, 046210 (8 pages), 2006.10. |

14. |
M. Okamura, Evaluation of the time correlation function for the Kuramoto-Sivashinsky equation with a projection operator method, *Progress of Theoretical Physics*, Vol. 116, No. 1, pp. 47-59, 2006.07. |

15. |
M. Ioualalen, M. Okamura, S. Cornier, C. Kharif and A. J. Roberts, Computation of short-crested deepwater waves, *Journal of Waterway, Port, Coastal, and Ocean Engineering*, Vol. 132, No. 3, pp. 157-165, 2006.05. |

16. |
K. Ueno, H. Sakaguchi and M. Okamura, Renormalization-group and numerical analysis of a noisy Kuramoto-Sivashinsky equation in 1+1 dimensions, *Physical Review E*, 10.1103/PhysRevE.71.046138, 71, 4, Vol. 71, 046138 (10 pages), 2005.04. |

17. |
Y. Kitahara and M. Okamura, Mean solutions for the Kuramoto-Sivashinsky equation with incoming boundary conditions, *Physical Review E*, 10.1103/PhysRevE.70.056210, 70, 5, Vol. 70, 056210 (8 pages), 2004.11. |

18. |
M. Okamura, M. Ioualalen and C. Kharif, Standing waves on water of uniform depth: on their resonances and matching with short-crested waves, *Journal of Fluid Mechanics*, 10.1017/S0022112003006037, 495, 145-156, Vol. 495 pp. 145-156, 2003.11. |

19. |
M. Okamura, Standing gravity waves of large amplitude in deep water, *Wave Motion*, 10.1016/S0165-2125(02)00055-0, 37, 2, 173-182, Vol. 37 No. 2 pp. 173-182, 2003.02. |

20. |
K. Sato and M. Okamura, Evaluation of mean values for a forced pendulum with a projection operator method, *Progress of Theoretical Physics*, 10.1143/PTP.108.1, 108, 1, 1-12, Vol. 108, No. 1, pp. 1-12, 2002.07. |

21. |
M. Ioualalen and M. Okamura, Structure of the instability associated with harmonic resonance of short-crested waves, *Journal of Physical Oceanography*, 10.1175/1520-0485(2002)032<1331:SOTIAW>2.0.CO;2, 32, 5, 1331-1337, Vol. 32, No. 5, pp. 1331-1337, 2002.05. |

22. |
Y. Wada and M. Okamura, Faraday resonance in two-dimensional standing gravity waves of finite depth, *Wave Motion*, 10.1016/S0165-2125(01)00086-5, 35, 2, 125-140, Vol. 35 No. 2 pp. 125-140, 2002.02. |

23. |
M. Okamura, On the enclosed crest angle of the limiting profile of standing waves, *Wave Motion*, 10.1016/S0165-2125(97)00061-9, 28, 1, 79-87, Vol. 28 No. 1 pp. 79-87, 1998.07. |

24. |
M. Okamura, Resonant standing waves on water of uniform depth, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.66.3801, 66, 12, 3801-3808, Vol. 66 No. 12 pp. 3801-3808, 1997.12. |

25. |
Y. Kato, M. Okamura and M. Oikawa, Three-dimensional instabilities of capillary gravity waves of permanent form near the fourth harmonic resonance, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.66.2675, 66, 9, 2675-2681, Vol. 66 No. 9 pp. 2675-2681, 1997.09. |

26. |
Y. Kato, M. Okamura and M. Oikawa, Two-dimensional instabilities of weakly nonlinear capillary gravity waves of permanent form near the fourth harmonic resonance, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.66.2665, 66, 9, 2665-2674, Vol. 66 No. 9 pp. 2665-2674, 1997.09. |

27. |
M. Okamura, Notes on short-crested waves in deep water, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.65.2841, 65, 9, 2841-2845, Vol. 65 No. 9 pp. 2841-2845, 1996.09. |

28. |
Y. Kato, M. Oikawa and M. Okamura, Direct simulation of unsteady capillary gravity waves on deep water, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.65.2060, 65, 7, 2060-2067, Vol. 65 No. 7 pp. 2060-2067, 1996.07. |

29. |
M. Okamura, Long time evolution of standing gravity waves in deep water, *Wave Motion*, 10.1016/0165-2125(95)00060-7, 23, 3, 279-287, Vol. 23 No. 3 pp. 279-287, 1996.01. |

30. |
M. Okamura, Impulsive pressure due to wave impact on an inclined plane wall, *Fluid Dynamics Research*, 10.1016/0169-5983(93)90024-5, 12, 4, 215-228, Vol. 12 No. 4 pp. 215-228, 1993.01. |

31. |
M. Okamura, The pressure impulse distribution due to wave impact on a vertical plane wall, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.62.2285, 62, 7, 2285-2292, Vol. 62 No. 7 pp. 2285-2292, 1993.07. |

32. |
M. Oikawa, M. Okamura and M. Funakoshi, Two-dimensional resonant interaction between long and short waves, *Journal of the Physical Society of Japan*, Vol. 58 No. 12 pp. 4416-4430, 1989.12. |

33. |
M. Okamura and M. Oikawa, The linear stability of finite amplitude surface waves on a linear shearing flow, *Journal of the Physical Society of Japan*, 10.1143/JPSJ.58.2386, 58, 7, 2386-2396, Vol. 58 No. 7 pp. 2386-2396, 1989.07. |

34. |
M. Okamura, Maximum wave steepness and instability of finite-amplitude standing gravity waves, *Fluid Dynamics Research*, Vol. 1 Nos. 3,4 pp. 201-214, 1986.01. |

35. |
M. Okamura, On the instability of weakly nonlinear three-dimensional standing waves, *Journal of the Physical Society of Japan*, Vol. 54 No. 9 pp. 3313-3320, 1985.09. |

36. |
M. Okamura, Instabilities of weakly nonlinear standing gravity waves, *Journal of the Physical Society of Japan*, Vol. 53 No. 11 pp. 3788-3796, 1984.11. |

37. |
M. Yamada and M. Okamura, Overreflection and overtransmission of Rossby waves, *Journal of the Atmospheric Sciences*, Vol. 41 No. 16 pp. 2531-2535, 1984.01. |

38. |
M. Okamura and T. Kawahara, Steady solutions of forced Burgers equations, *Journal of the Physical Society of Japan*, Vol. 52 No. 11 pp. 3800-3806, 1983.11. |