7 papers · 1 filter
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…
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…
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…