2 citations · 4 across the 7 of their papers we have counts for
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Entropy maximization in the two-dimensional Euler equations
Michele Coti Zelati, Matias G. Delgadino
We consider variational problem related to entropy maximization in the two-dimensional Euler equations, in order to investigate the long-time dynamics of solutions with bounded vor…
Continuous symmetrizations and uniqueness of solutions to nonlocal equations
Matias G. Delgadino, M. Vaughan
We show that nonlocal seminorms are strictly decreasing under the continuous Steiner rearrangement. This implies that all solutions to nonlocal equations which arise as critical po…
A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
Matias G. Delgadino, Daniel Weser
In this paper we analyze the shape of a droplet inside a smooth container. To characterize their shape in the capillarity regime, we obtain a new form of the Heintze-Karcher inequa…
On the relationship between the thin film equation and Tanner's law
Matias G. Delgadino, Antoine Mellet
This paper is devoted to the asymptotic analysis of a thin film equation which describes the evolution of a thin liquid droplet on a solid support driven by capillary forces. We pr…
On the relation between enhanced dissipation time-scales and mixing rates
Michele Coti Zelati, Matias G. Delgadino, Tarek M. Elgindi
We study diffusion and mixing in different linear fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect which causes a…
Hölder estimates for fractional parabolic equations with critical divergence free drifts
Matias G. Delgadino, Scott Smith
This work focuses on drift-diffusion equations with fractional dissipation in the regime . Our main result is an a priori Hölder estimate on smooth solutions…
Convergence of a one dimensional Cahn-Hilliard equation with degenerate mobility
Matias G. Delgadino
We consider a one dimensional periodic forward-backward parabolic equation, regularized by a non-linear fourth order term of order . This equation is known in the literat…