13 citations · 13 across the 3 of their papers we have counts for
7 papers · 1 filter
Geometry of strong forces in continuum mechanics
Theodore D. Drivas, Daniil Glukhovskiy
Consider a material point in finite dimensions moving under the influence of a potential force according to Newton's laws. Suppose the potential energy function is a generalized we…
On maximally mixed equilibria of two-dimensional perfect fluids
Michele Dolce, Theodore D. Drivas
The vorticity of a two-dimensional perfect (incompressible and inviscid) fluid is transported by its area preserving flow. Given an initial vorticity distribution , predictin…
On the existence of fibered three-dimensional perfect fluid equilibria without continuous Euclidean symmetry
Theodore D. Drivas, Tarek M. Elgindi, Daniel Ginsberg
Following Lortz, we construct a family of smooth steady states of the ideal, incompressible Euler equation in three dimensions that possess no continuous Euclidean symmetry. As in…
Lagrangian aspects of Yudovich theory for 2D Euler
Theodore D. Drivas, Joonhyun La
In this note, we establish Yudovich's existence and uniqueness result for bounded (as well as mildly unbounded) vorticity weak solution of the two-dimensional incompressible Euler…
On the fragility of laminar flow
Theodore D. Drivas, Daniel Ginsberg, Marc Nualart
Inviscid laminar flow is a stationary solution of the incompressible Euler equations whose streamlines foliate the fluid domain. Their structure on symmetric domains is rigid: all…
Intermittency and Dissipation Regularity in Turbulence
Luigi De Rosa, Theodore D. Drivas, Marco Inversi +1
We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov…