60 citations · 730 across the 55 of their papers we have counts for
6 papers · 1 filter
Self-Regularization in turbulence from the Kolmogorov 4/5-Law and Alignment
Theodore D. Drivas
A defining feature of 3D hydrodynamic turbulence is that the rate of energy dissipation is bounded away from zero as viscosity is decreased (Reynolds number increased). This phenom…
Bounds on heat flux for Rayleigh-Bénard convection between Navier-slip fixed-temperature boundaries
Theodore D. Drivas, Huy Q. Nguyen, Camilla Nobili
We study two-dimensional Rayleigh-Bénard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies wi…
Flexibility and rigidity of free boundary MHD equilibria
Peter Constantin, Theodore D. Drivas, Daniel Ginsberg
We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that…
Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data
Tristan Buckmaster, Theodore D. Drivas, Steve Shkoller +1
A fundamental question in fluid dynamics concerns the formation of discontinuous shock waves from smooth initial data. We prove that from smooth initial data, smooth solutions to t…
The statistical geometry of material loops in turbulence
Lukas Bentkamp, Theodore D. Drivas, Cristian C. Lalescu +1
Material elements - which are lines, surfaces, or volumes behaving as passive, non-diffusive markers - provide an inherently geometric window into the intricate dynamics of chaotic…
Conjugate and cut points in ideal fluid motion
Theodore D. Drivas, Gerard Misiołek, Bin Shi +1
Two fluid configurations along a flow are conjugate if there is a one parameter family of geodesics (fluid flows) joining them to infinitesimal order. Geometrically, they can be se…