25 citations · 84 across the 21 of their papers we have counts for
32 papers
Non-uniqueness for the forced one-dimensional Vlasov-Poisson equation
Mikaela Iacobelli
We prove non-uniqueness for the forced one-dimensional Vlasov-Poisson equation on the whole space. More precisely, for every finite , we construct a nonnegative ion density, smo…
Quantization of measures in Carnot groups
Marco Di Marco, Mikaela Iacobelli
We study optimal quantization of probability measures on Carnot groups equipped with a left-invariant homogeneous distance. We prove two main results. First, we establish a Zador-t…
Quasineutral Plasmas and the Geometry of Kinetic Stability
Mikaela Iacobelli
This article presents an overview of quasineutral limits in plasma models. Starting from the Vlasov-Poisson system, it explains the role of the Debye length, the emergence of a kin…
Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields
Immanuel Ben Porat, Antoine Gagnebin, Mikaela Iacobelli +1
We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times…
Exponential convergence for ultrafast diffusion equations with log-concave weights
Max Fathi, Mikaela Iacobelli
We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibri…
From relativistic Vlasov-Maxwell to electron-MHD in the quasineutral regime
Antoine Gagnebin, Mikaela Iacobelli, Alexandre Rege +1
We study the quasineutral limit for the relativistic Vlasov-Maxwell system in the framework of analytic regularity. Following the high regularity approach introduced by Grenier [44…
On the stability of vacuum in the screened Vlasov-Poisson equation
Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer
We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on near vacuum. We show that for dimensions $d\geq…
Scattering problem for Vlasov-type equations on the -dimensional torus with Gevrey data
Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin +2
In this article, we consider Vlasov-type equations describing the evolution of single-species type plasmas, such as those composed of electrons (Vlasov-Poisson) or ions (screened V…
Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
Immanuel Ben Porat, Mikaela Iacobelli, Alexandre Rege
We derive the two dimensional incompressible Euler equation as a quasineutral limit of the Vlasov-Poisson equation using a modulated energy approach. We propose a strategy which en…
Asymptotic quantization on Riemannian manifolds via covering growth estimates
Ata Deniz Aydin, Mikaela Iacobelli
The quantization problem looks for best approximations of a probability measure on a given metric space by finitely many points, where the approximation error is measured with resp…
Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
Mikaela Iacobelli, Laurent Lafleche
In this paper we establish almost-optimal stability estimates in quantum optimal transport pseudometrics for the semiclassical limit of the Hartree dynamics to the Vlasov-Poisson e…
Stability in Quasineutral Plasmas with Thermalized Electrons
Megan Griffin-Pickering, Mikaela Iacobelli
We study the quasineutral limit for the ionic Vlasov-Poisson system with thermalized electrons (VPME) on the torus in dimensions one to three, for rough solutions with bounded spat…
Stability estimates for the Vlasov-Poisson system in -kinetic Wasserstein distances
Mikaela Iacobelli, Jonathan Junné
We extend Loeper's -estimate relating the electric fields to the densities for the Vlasov-Poisson system to , with , based on the Helmholtz-Weyl decompos…
Landau damping on the torus for the Vlasov-Poisson system with massless electrons
Antoine Gagnebin, Mikaela Iacobelli
This paper studies the nonlinear Landau damping on the torus for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gev…
Global well-posedness of Vlasov-Poisson-type systems in bounded domains
Ludovic Cesbron, Mikaela Iacobelli
In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specul…
A new perspective on Wasserstein distances for kinetic problems
Mikaela Iacobelli
We introduce a new class of Wasserstein-type distances specifically designed to tackle questions concerning stability and convergence to equilibria for kinetic equations. Thanks to…
Recent developments on quasineutral limits for Vlasov-type equations
Megan Griffin-Pickering, Mikaela Iacobelli
Kinetic equations of Vlasov type are in widespread use as models in plasma physics. A well known example is the Vlasov-Poisson system for collisionless, unmagnetised plasma. In the…
From Newton's second law to Euler's equations of perfect fluids
Daniel Han-Kwan, Mikaela Iacobelli
Vlasov equations can be formally derived from N-body dynamics in the mean-field limit. In some suitable singular limits, they may themselves converge to fluid dynamics equations. M…
Global strong solutions in for ionic Vlasov-Poisson systems
Megan Griffin-Pickering, Mikaela Iacobelli
Systems of Vlasov-Poisson type are kinetic models describing dilute plasma. The structure of the model differs according to whether it describes the electrons or positively charged…
Recent developments on the well-posedness theory for Vlasov-type equations
Megan Griffin-Pickering, Mikaela Iacobelli
In these notes we summarise some recent developments on the existence and uniqueness theory for Vlasov-type equations, both on the torus and on the whole space.
Singular Limits for Plasmas with Thermalised Electrons
Megan Griffin-Pickering, Mikaela Iacobelli
This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a p…
Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
Megan Griffin-Pickering, Mikaela Iacobelli
The Vlasov-Poisson system with massless electrons (VPME) is widely used in plasma physics to model the evolution of ions in a plasma. It differs from the Vlasov-Poisson system (VP)…
Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour
Mikaela Iacobelli, Francesco Patacchini, Filippo Santambrogio
In this paper we devote our attention to a class of weighted ultrafast diffusion equations arising from the problem of quantisation for probability measures. These equations have a…
A gradient flow perspective on the quantization problem
Mikaela Iacobelli
In this paper we review recent results by the author on the problem of quantization of measures. More precisely, we propose a dynamical approach, and we investigate it in dimension…