8 papers · 1 filter
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…
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…