4 citations · 4 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…