17 citations · 82 across the 44 of their papers we have counts for
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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…
Locality of vortex stretching for the 3D Euler equations
Yuuki Shimizu, Tsuyoshi Yoneda
We consider the 3D incompressible Euler equations under the following situation: small-scale vortex blob being stretched by a prescribed large-scale stationary flow. More precisely…
The restriction problem on the ellipsoid
Chi Hin Chan, Magdalena Czubak, Tsuyoshi Yoneda
Following a restriction argument in the Euclidean space, we derive a geometric invariant formula for a possible viscosity operator for an incompressible fluid flow on an ellipsoid…
Characterization of three-dimensional Euler flows supported on finitely many Fourier modes
Nobu Kishimoto, Tsuyoshi Yoneda
Recently, the Nash-style convex integration has been becoming the main scheme for the mathematical study of turbulence, and the main building block of it has been either Beltrami f…