4 citations · 4 across the 4 of their papers we have counts for
5 papers
Ergodicity for a Constantin-Lax-Majda-DeGregorio model of turbulent flow
Shunsuke Fujita, Reika Fukuizumi, Takashi Sakajo
This paper presents a mathematical analysis of a one-dimensional model of turbulence based on a stochastic generalized Constantin-Lax-Majda-DeGregorio (gCLMG) equation. We focus on…
Steady vortex patches on flat torus with a constant background vorticity
Takashi Sakajo, Changjun Zou
We construct a series of vortex patch solutions in a doubly-periodic rectangular domain (flat torus), which is accomplished by studying the contour dynamic equation for patch bound…
type regularization for point vortices on
Takashi Sakajo, Changjun Zou
We construct a series of classic vorticity solutions for incompressible Euler equation on , which constitute the type regularization for a general traveling poin…
Regularization for point vortices on
Takashi Sakajo, Changjun Zou
We construct a series of patch type solutions for incompressible Euler equation on , which constitutes the regularization for steady or traveling point vortex systems.…
Uniform error bounds of the ensemble transform Kalman filter for infinite-dimensional dynamics with multiplicative covariance inflation
Kota Takeda, Takashi Sakajo
Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a predict…