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math.AP2021
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…
math.AP2021
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…