9 citations · 9 across the 8 of their papers we have counts for
11 papers
Hölder continuity for non-coercive Hamilton-Jacobi equations associated to linear control systems
Megan Griffin-Pickering, Alpár R. Mészáros
In this paper we establish Hölder continuity estimates for viscosity solutions to first order Hamilton-Jacobi equations linked to linear control systems satisfying the Kalman rank…
A Probabilistic Mean-Field Limit for the Vlasov-Poisson System for Ions
Megan Griffin-Pickering
The Vlasov-Poisson system for ions is a kinetic equation for dilute, unmagnetised plasma. It describes the evolution of the ions in a plasma under the assumption that the electrons…
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
David M. Ambrose, Megan Griffin-Pickering, Alpár R. Mészáros
We prove well-posedness of a class of kinetic-type Mean Field Games, which typically arise when agents control their acceleration. Such systems include independent variables repres…
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…
A variational approach to first order kinetic Mean Field Games with local couplings
Megan Griffin-Pickering, Alpár R. Mészáros
First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit…
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…
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)…
A mean field approach to the quasineutral limit for the Vlasov-Poisson equation
Megan Griffin-Pickering, Mikaela Iacobelli
This paper concerns the derivation of the Kinetic Isothermal Euler system in dimension from an N-particle system of extended charges with Coulomb interaction. This requi…