YONEDA Tsuyoshi

Title
Associate Professor
Field
Mathematical Fluid Dynamics
Research interests
Mathematical analysis of fluid mechanics by using the Navier-Stokes and Euler equations
Current research

The Coriolis force plays a significant role in the large scale flow considered in meteorology and geophysics. My first reseach interest is to analyze the rotating Navier-Stokes and Euler equations mathematically.

My second research interest is to attimpt turbulence analysis in mathematics, in particular, laminar-turbulence transition by using elementary differential geometry. This topic is related to ``pulsatile flow" and ``vortex breakdown" in physics.

Recently, some researchers made breakthrough in the incompressible Euler study field. They analyzed hyperbolic flow configurations with characteristic curve observation, and solved several open problems in the Euler study field. The most important recent works must be Bourgain-Li (2014, Inventione Math.) and Kiselev-Sverak (2014, Annals of Math.).My third reseach interest is to analyze such hyperbolic flow configurations. This topic is related to ``vortex-thinning" in 2D turbulence.

Selected publications
  1. G. Misiolek and T. Yoneda Continuity of the solution map of the Euler equations in H\"older spaces and weak norm inflation in Besov spaces, to appear in Trans. Amer. Math. Soc.
  2. N. Kishimoto and T. Yoneda, A number theoretical observation of a resonant interaction of Rossby waves, Kodai Math. J., 40 (2017) 16-20.
  3. P-Y. Hsu, H. Notsu, T. Yoneda, A local analysis of the axi-symmetric Navier-Stokes flow near a saddle point and no-slip flat boundary, J. Fluid Mech. 794 (2016) 444-459.
  4. M. Yamada and T. Yoneda, Resonant interaction of Rossby waves in two-dimensional flow on a β plane, Physica D, 245 (2013) 1--7.
  5. T. Yoneda, Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data, Arch. Ration. Mech. Anal., 200 (2011) 225--237.
  6. T. Yoneda, Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near BMO^{-1}, J. Funct. Anal., 258 (2010) 3376--3387.

Memberships, activities and

Awards

The Mathematical Society of Japan

2014:The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology:The Young Scientists' Prize.

2012:MSJ Tatebe Katahiro Prize.

2012:Inoue Research Award for Young Scientists.

2009: Chairman Award for Outstanding Ingenuity and Creativity, University of Tokyo.