• Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates 

  Li K.; Ombrosi S.; Pérez C. (Mathematische Annalen, 2018-09)

  We show that if $v\in A_\infty$ and $u\in A_1$, then there is a constant $c$ depending on the $A_1$ constant of $u$ and the $A_{\infty}$ constant of $v$ such that $$\Big\|\frac{ T(fv)} {v}\Big\|_{L^{1,\infty}(uv)}\le c\, ...

• On the geometry of strongly flat semigroups and their generalizations 

  László T.; Némethi A. (2018-09-18)

  Our goal is to convince the readers that the theory of complex normal surface singularities can be a powerful tool in the study of numerical semigroups, and, in the same time, a very rich source of interesting affine and ...

• A Numerical 1.5D Method for the Rapid Simulation of Geophysical Resistivity Measurements 

  Shahriari M.; Rojas S.; Pardo D.; Rodríguez-Rozas A.; Bakr S.A.; Calo V.M.; Muga I. (Geosciences, 2018-06-14)

  In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a ...

• On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids 

  Scrobogna S. (Journal of Differential Equations, 2018-09)

  We study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are ...

• Numerical simulation of the von Kármán sodium dynamo experiment 

  Nore C.; Castanon Quiroz D.; Cappanera L.; Guermond, L.J. (Journal of Fluid Mechanics, 2018-09-03)

  We present hydrodynamic and magnetohydrodynamic (MHD) simulations of liquid sodium flows in the von Kármán sodium (VKS) set-up. The counter-rotating impellers made of soft iron that were used in the successful 2006 experiment ...

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