86 citations · 208 across the 23 of their papers we have counts for
5 papers · 1 filter
Limiting Carleman weights and conformally transversally anisotropic manifolds
Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro +1
We analyze the structure of the set of limiting Carleman weights in all conformally flat manifolds, 3-manifolds, and 4-manifolds. In particular we give a new proof of the classific…
Proof of Taylor's conjecture on magnetic helicity conservation
Daniel Faraco, Sauli Lindberg
We prove Taylor's conjecture which says that in 3D MHD, magnetic helicity is conserved in the ideal limit in bounded, simply connected, perfectly conducting domains. When the domai…
The convex hull of a finite set
Pablo Angulo, Carlos García-Gutiérrez
We study -separately convex hulls of finite sets of points in , as in KirchheimMullerSverak2003. This notion of convexity, which we call…
Degraded mixing solutions for the Muskat problem
Ángel Castro, Daniel Faraco, Francisco Mengual
We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixin…
Magnetic helicity and subsolutions in ideal MHD
Daniel Faraco, Sauli Lindberg
We show that ideal 2D MHD does not possess weak solutions (or even subsolutions) with compact support in time and non-trivial magnetic field. We also show that the -convex hull…