4 citations · 15 across the 11 of their papers we have counts for
15 papers
Bourgain--Brezis selection maps for Hodge systems in Besov and Triebel--Lizorkin spaces
Diogo Arsénio
We establish Bourgain--Brezis selection maps for Hodge systems in new ranges of Besov and Triebel--Lizorkin spaces. Our approach combines the trace-free Beurling--Ahlfors transform…
The trace-free Beurling--Ahlfors transform and the Bourgain--Brezis problem for Hodge systems
Diogo Arsénio
We show that the dual approach to Bourgain--Brezis estimates for Hodge systems is substantially more flexible than previously understood. For , we introduce the tr…
Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
Diogo Arsénio, Haroune Houamed, Belkacem Said--Houari
The evolution of an electrically conducting imcompressible fluid with nonconstant density can be described by a set of equations combining the continuity, momentum and Maxwell's eq…
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Diogo Arsénio, Zineb Hassainia, Haroune Houamed
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier--Stokes--Maxwell equations. More precisely, we are able to prove that, for large values of…
Stability analysis of two-dimensional ideal flows with applications to viscous fluids and plasmas
Diogo Arsénio, Haroune Houamed
We are interested in the stability analysis of two-dimensional incompressible inviscid fluids. Specifically, we revisit a recent result on the stability of Yudovich's solutions to…
Damped Strichartz estimates and the incompressible Euler--Maxwell system
Diogo Arsénio, Haroune Houamed
Euler--Maxwell systems describe the dynamics of inviscid plasmas. In this work, we consider an incompressible two-dimensional version of such systems and prove the existence and un…
Competitive Sequencing with Noisy Advice
Spyros Angelopoulos, Diogo Arsénio, Shahin Kamali
Several well-studied online resource allocation problems can be formulated in terms of infinite, increasing sequences of positive values, in which each element is associated with a…
An energy method for averaging lemmas
Diogo Arsénio, Nicolas Lerner
This work introduces a new approach to velocity averaging lemmas in kinetic theory. This approach -- based upon the classical energy method -- provides a powerful duality principle…
Solutions of Navier--Stokes--Maxwell systems in large energy spaces
Diogo Arsénio, Isabelle Gallagher
Large weak solutions to Navier--Stokes--Maxwell systems are not known to exist in their corresponding energy space in full generality. Here, we mainly focus on the three-dimensiona…
The vortex method for 2D ideal flows in the exterior of a disk
Diogo Arsénio, Emmanuel Dormy, Christophe Lacave
The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, s…
The vortex method for 2D ideal flows in exterior domains
Diogo Arsénio, Emmanuel Dormy, Christophe Lacave
The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, s…
From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics
Diogo Arsénio, Laure Saint-Raymond
We treat hydrodynamic limits of the Vlasov-Maxwell-Boltzmann system for one and two species of particles in a viscous incompressible regime.
Solutions of the Vlasov-Maxwell-Boltzmann system with long-range interactions
Diogo Arsénio, Laure Saint-Raymond
We establish the existence of renormalized solutions of the Vlasov-Maxwell-Boltzmann system with a defect measure in the presence of long-range interactions. We also present a cont…
A new approach to velocity averaging lemmas in {B}esov spaces
Diogo Arsénio, Nader Masmoudi
We develop a new approach to velocity averaging lemmas based on the dispersive properties of the kinetic transport operator. This method yields unprecedented sharp results, which d…
Concentrations in kinetic transport equations and hypoellipticity
Diogo Arsénio, Laure Saint-Raymond
We establish improved hypoelliptic estimates on the solutions of kinetic transport equations, using a suitable decomposition of the phase space. Our main result shows that the rela…