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Contributions to the Derivation and Well-posedness Theory of Kinetic Equations
This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/L016516/1 for the University of Cambridge Centre for Doctoral Training, the Cambridge Centre forExpand
Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
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) for electrons inExpand
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Singular Limits for Plasmas with Thermalised Electrons
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 plasma. OurExpand
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A Mean Field Approach to the Quasi-Neutral Limit for the Vlasov-Poisson Equation
TLDR
This paper concerns the derivation of the Kinetic Isothermal Euler system in dimension $d \geq 1$ from an N-particle system of extended charges with Coulomb interaction. Expand
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Recent developments on the well-posedness theory for Vlasov-type equations
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.
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Recent developments on quasineutral limits for Vlasov-type equations
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 these notes, weExpand
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Global strong solutions in $\mathbb{R}^3$ for ionic Vlasov-Poisson systems
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 ions in theExpand
Global well-posedness in 3-dimensions for the Vlasov-Poisson system with massless electrons
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 classical Vlasov-Poisson system (VP) in thatExpand
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