17 citations · 82 across the 44 of their papers we have counts for
44 papers
Numerical experiments on the Hardy conjecture for the Gauss circle problem
Satoshi Yamaguchi, Shoichi Fujima, Shigehiko Kuratsubo +2
The classical unsolved Gauss circle problem concerns estimating the error between the number of lattice points inside a circle and the area of the circle as its radius tends to inf…
Regularity of solution maps of the generalized surface quasi-geostrophic equations
Gerard Misiołek, Xuan-Truong Vu, Tsuyoshi Yoneda
We study regularity properties of the data-to-solution maps of the family of generalized surface quasi-geostrophic equations which includes both the 2D incompressible Euler and the…
Anomalous smoothing effect on the incompressible Navier-Stokes-Fourier limit from Boltzmann with periodic velocity
Zhongyang Gu, Xin Hu, Tsuyoshi Yoneda
Adding some nontrivial terms composed from a microstructure, we prove the existence of a global-in-time weak solution, whose enstrophy is bounded for all the time, to an incompress…
Microscopic expression of anomalous dissipation in Passive scalar transport
Tomonori Tsuruhashi, Tsuyoshi Yoneda
We study anomalous dissipation from a microscopic viewpoint. In the work by Drivas, Elgindi, Iyer and Jeong (2022), the property of anomalous dissipation provides the existence of…
On Maximum Enstrophy Dissipation in 2D Navier-Stokes Flows in the Limit of Vanishing Viscosity
Pritpal Matharu, Tsuyoshi Yoneda, Bartosz Protas
We consider enstrophy dissipation in two-dimensional (2D) Navier-Stokes flows and focus on how this quantity behaves in thelimit of vanishing viscosity. After recalling a number of…
Existence of a conjugate point in the incompressible Euler flow on a three-dimensional ellipsoid
Leandro Lichtenfelz, Taito Tauchi, Tsuyoshi Yoneda
The existence of a conjugate point on the volume-preserving diffeomorphism group of a compact Riemannian manifold M is related to the Lagrangian stability of a solution of the inco…