From the 1 of 10 linked papers with an AI index.
10 papers
Stability in Quasineutral Plasmas with Thermalized Electrons
Megan Griffin-Pickering, Mikaela Iacobelli
The paper proves that the quasineutral limit for the ionic Vlasov‑Poisson system with thermalized electrons remains stable under exponentially small perturbations of the initial da…
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…
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…
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…