5 papers
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…
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…
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…