## Recent Publications

##
- K. Ohkitani,

"Dynamical equation for velocity potentials in incompressible irrotational
Euler flows with singular vorticity distributions :
a refinement of Bernoulli theorem," Phys. Rev. E 92, 033010 (2015).
- K. Ohkitani,

"Study of the Navier-Stokes regularity problem with critical norms",
Fluid. Dyn. Res. 48, 021401(2016).
- K. Ohkitani,

"Late formation of singularities in solutions to the Navier-Stokes
equations," J. Phys. A: Math. Theor. 49, 015502 (2016).
- K. Ohkitani,

"Characterization of blowup for the Navier-Stokes equations using vector
potentials," AIP Advances 7, 015211 (2017).
- K. Ohkitani,

"Near-invariance under dynamic scaling for the Navier-Stokes equations
in critical spaces: a probabilistic approach to regularity problems,"
J. Phys. A: Math. Theor. 50 (2017) 045501.
- K. Ohkitani,

"Analogue of the Cole-Hopf transform for the incompressible Navier-Stokes
equations and its application," Journal of Turbulence, 18 (2017),
465--479.
- K. Ohkitani,

"Cole-Hopf--Feynman-Kac formula and quasi-invariance for Navier-Stokes
equations," J. Phys. A: Math. Theor. 50 (2017) 405501.
- K. Ohkitani,

"Study of the Euler equations by Clebsch potentials," Nonlinearity,
31 (2018) R25-R51.
- R. Vanon and K. Ohkitani,

"Applications of a Cole-Hopf transform to the 3D Navier-Stokes equations,"
J. Turbulence 19 (2018) 1--12.
- K. Ohkitani,

"Quasi-invariance for the Navier-Stokes equations,"
in 'Partial Differenatial Equations and Fluid Mechanics,'
LMS Lecture Notes Series 452, Cambridge University Press.
ed. C. Fefferman, J.C. Robinson, and J.L. Rodrigo (2018).
- K. Ohkitani,

"Study of the Hopf functional equation for turbulence: Duhamel principle and
dynamical scaling," Phys. Rev. E 101 (2020) 013104.