25 citations · 25 across the 1 of their papers we have counts for
8 papers
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…
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…
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…