4 citations · 7 across the 4 of their papers we have counts for
4 papers
Generalized incompressible fluid dynamical system interpolating between the Navier-Stokes and Burgers equations in two dimensions
Koji Ohkitani
We propose a set of generalized incompressible fluid dynamical equations, which interpolates between the Burgers and Navier-Stokes equations in two dimensions and study their prope…
Self-similar solutions to the hypoviscous Burgers and SQG equations at criticality
Koji Ohkitani
After reviewing the source-type solution of the Burgers equation with standard dissipativity, we study the hypoviscous counterpart of the Burgers equation. 1) We determine an equat…
Self-similarity in turbulence and its applications
Koji Ohkitani
First, we discuss the non-Gaussian type of self-similar solutions to the Navier-Stokes equations. We revisit a class of self-similar solutions which was studied in Canonne-Planchon…
Remarks on the principles of statistical fluid mechanics
Koji Ohkitani
This is an idiosyncratic survey of statistical fluid mechanics centering on the Hopf functional differential equation. Using the Burgers equation for illustration we review several…