4 citations · 4 across the 8 of their papers we have counts for
8 papers
Vortex Stretching in the Navier-Stokes Equations and Information Dissipation in Diffusion Models: A Reformulation from a Partial Differential Equation Viewpoint
Tsuyoshi Yoneda
We present a new inverse-time formulation of vortex stretching in the Navier-Stokes equations, based on a PDE framework inspired by score-based diffusion models. By absorbing the i…
Nonlinear Scale-Local Geometric Deformations of Vortex Rings in Smooth Euler Flows via Bayesian Optimization and Adjoint Methods
Tsuyoshi Yoneda
We consider the incompressible three-dimensional Euler equations for a vortex ring with Kelvin waves undergoing radially expanding Lagrangian transport. To clarify the fundamental…
Energy Transfer Dynamics Generated by Non-Axisymmetric Tornado-Type Flows
Afifah Maya Iknaningrum, Pen-Yuan Hsu, Tsuyoshi Yoneda +1
The energy cascade in turbulence, first statistically described by Richardson (1922) and Kolmogorov (1941), lacked connection to the underlying fluid dynamics. Recent numerical stu…
Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda
In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent wi…
Long-term prediction of El Niño-Southern Oscillation using reservoir computing with data-driven realtime filter
Takuya Jinno, Takahito Mitsui, Kengo Nakai +2
In recent years, the application of machine learning approaches to time-series forecasting of climate dynamical phenomena has become increasingly active. It is known that applying…
A sufficient condition for local limit theorem
Kaoru Yoneda, Tsuyoshi Yoneda
We give a sufficient condition for the local limit theorem. To construct it, we employ infinite times of convolutions of probability density functions.
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations
In-Jee Jeong, Jungkyoung Na, Tsuyoshi Yoneda
We consider the 3D incompressible Euler equations under the following three scale hierarchical situation: large-scale vortex stretching the middle-scale, and at the same time, the…