145 citations · 609 across the 61 of their papers we have counts for
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Existence of weak solutions of the surface Beris-Edwards model
Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov
We prove the existence of weak solutions to the surface Beris-Edwards model for nematic liquid crystals posed on a -dimensional () closed hypersurface of class $C…
-based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations
Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov
This paper and its follow-up arXiv:2508.11109 are concerned with the well-posedness and -based Sobolev regularity for appropriate weak formulations of a family of pro…
-based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems
Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov
This paper is the second part of a two-paper series, initiated in arXiv:2603.02163 for scalar PDEs on hypersurfaces, and is concerned with the well-posedness and -bas…
Quasi-linear fractional-order operators in Lipschitz domains
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
We prove Besov boundary regularity for solutions of the homogeneous Dirichlet problem for fractional-order quasi-linear operators with variable coefficients on Lipschitz domains $Ω…
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains
Juan Pablo Borthagaray, Ricardo H. Nochetto
We prove Besov regularity estimates for the solution of the Dirichlet problem involving the integral fractional Laplacian of order in bounded Lipschitz domains : \[ \begin{a…
On the dynamics of ferrofluids: Global weak solutions to the Rosensweig system and rigorous convergence to equilibrium
Ricardo H. Nochetto, Konstantina Trivisa, Franziska Weber
This article establishes the global existence of weak solutions to a model proposed by Rosensweig (Rosensweig, Ferrohydrodynamics (1985)) for the dynamics of ferrofluids. The syste…
The Stokes problem with Navier slip boundary condition: Minimal fractional Sobolev regularity of the domain
Harbir Antil, Ricardo H. Nochetto, Patrick Sodre
We prove well-posedness in reflexive Sobolev spaces of weak solutions to the stationary Stokes problem with Navier slip boundary condition over bounded domains of $\mathbb{R}^n…