Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Delgadino, Matias G."'
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 vorticity. Using variations on the classical min-max principle and borrow
Externí odkaz:
http://arxiv.org/abs/2405.14738
Autor:
Delgadino, Matias G., Vaughan, M.
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 points of nonlocal energies are radially symmetric and decreasing. Moreo
Externí odkaz:
http://arxiv.org/abs/2310.13221
We study a regularized version of the Landau equation, which was recently introduced in~\cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonable computational cost. We develop the existence and uniqueness theory f
Externí odkaz:
http://arxiv.org/abs/2211.07015
Autor:
Delgadino, Matias G., Weser, Daniel
Publikováno v:
Journal of Functional Analysis, Volume 287, Issue 9, 2024
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 inequality for mean convex hypersurfaces with boundary lying on curved subst
Externí odkaz:
http://arxiv.org/abs/2210.16376
Autor:
Delgadino, Matias G., Weser, Daniel
Publikováno v:
In Journal of Functional Analysis 1 November 2024 287(9)
In this article, we study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationship between the large $N$ limit of the constant in the logarithmic Sobol
Externí odkaz:
http://arxiv.org/abs/2112.06304
Publikováno v:
Analysis & PDE 17 (2024) 1331-1375
We propose a gradient flow perspective to the spatially homogeneous Landau equation for soft potentials. We construct a tailored metric on the space of probability measures based on the entropy dissipation of the Landau equation. Under this metric, t
Externí odkaz:
http://arxiv.org/abs/2007.08591
The objective of this article is to analyse the statistical behaviour of a large number of weakly interacting diffusion processes evolving under the influence of a periodic interaction potential. We focus our attention on the combined mean field and
Externí odkaz:
http://arxiv.org/abs/2001.03920
We consider a nonlocal aggregation equation with degenerate diffusion, which describes the mean-field limit of interacting particles driven by nonlocal interactions and localized repulsion. When the interaction potential is attractive, it is previous
Externí odkaz:
http://arxiv.org/abs/1908.09782
Autor:
Delgadino, Matias G., Mellet, Antoine
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 propose an analytic framework to rigorously investigate the connection b
Externí odkaz:
http://arxiv.org/abs/1901.09611