3 papers
math.DG2022
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…
math.DG2019
Axisymmetric diffeomorphisms and ideal fluids on Riemannian 3-manifolds
Leandro Lichtenfelz, Gerard Misiolek, Stephen C. Preston
We study the Riemannian geometry of 3D axisymmetric ideal fluids. We prove that the exponential map on the group of volume-preserving diffeomorphisms of a -manifold is Fre…
math.AP2018
A local instability mechanism of the Navier-Stokes flow with swirl on the no-slip flat boundary
Leandro Lichtenfelz, Tsuyoshi Yoneda
Using numerical simulations of the axisymmetric Navier-Stokes equations with swirl on a no-slip flat boundary, Hsu-Notsu-Yoneda [J. Fluid Mech. 2016] observed the creation of a hig…