43 citations · 93 across the 10 of their papers we have counts for
11 papers
Islands in stable fluid equilibria
Theodore D. Drivas, Daniel Ginsberg
We prove that stable fluid equilibria with trivial homology on curved, reflection-symmetric periodic channels must posses "islands", or cat's eye vortices. In this way, arbitrarily…
On the distribution of heat in fibered magnetic fields
Theodore D. Drivas, Daniel Ginsberg, Hezekiah Grayer
We study the equilibrium temperature distribution in a model for strongly magnetized plasmas in dimension two and higher. Provided the magnetic field is sufficiently structured (in…
On the local well-posedness for the relativistic Euler equations for a liquid body
Daniel Ginsberg, Hans Lindblad
We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori estimate which only requires control…
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…
On quasisymmetric plasma equilibria sustained by small force
Peter Constantin, Theodore D. Drivas, Daniel Ginsberg
We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equ…
Flexibility and rigidity in steady fluid motion
Peter Constantin, Theodore D. Drivas, Daniel Ginsberg
Flexibility and rigidity properties of steady (time-independent) solutions of the Euler, Boussinesq and Magnetohydrostatic equations are investigated. Specifically, certain Liouvil…
Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary
Daniel Ginsberg, Hans Lindblad, Chenyun Luo
We establish the local well-posedness for the free boundary problem for the compressible Euler equations describing the motion of liquid under the influence of Newtonian self-gravi…
On the lifespan of three-dimensional gravity water waves with vorticity
Daniel Ginsberg
We prove a long-term regularity result for three-dimensional gravity water waves with small initial data but nonzero initial vorticity. We consider solutions whose vorticity vanish…
A priori estimates for a relativistic liquid with free surface boundary
Daniel Ginsberg
We prove energy estimates for a relativistic free liquid body with sufficiently small fluid velocity in a general Einstein spacetime. These estimates control Sobolev norms of the f…
On the breakdown of solutions to the incompressible Euler equations with free surface boundary
Daniel Ginsberg
We prove a continuation critereon for incompressible liquids with free surface boundary. We combine the energy estimates of Christodoulou and Lindblad with an analog of the estimat…
Analytical and Numerical Results on the Positivity of Steady State Solutions of a Thin Film Equation
Daniel Ginsberg, Gideon Simpson
We consider an equation for a thin-film of fluid on a rotating cylinder and present several new analytical and numerical results on steady state solutions. First, we provide an ele…