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Contributions to the Derivation and Well-posedness Theory of Kinetic Equations

- Megan Griffin-Pickering
- Mathematics
- 16 May 2020

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 for… Expand

Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus

- Megan Griffin-Pickering, M. Iacobelli
- Physics, Mathematics
- 16 October 2018

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 in… Expand

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Singular Limits for Plasmas with Thermalised Electrons

- Megan Griffin-Pickering, M. Iacobelli
- Mathematics, Physics
- 8 November 2018

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. Our… Expand

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A Mean Field Approach to the Quasi-Neutral Limit for the Vlasov-Poisson Equation

- Megan Griffin-Pickering, M. Iacobelli
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 8 November 2017

TLDR

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Recent developments on the well-posedness theory for Vlasov-type equations

- Megan Griffin-Pickering, M. Iacobelli
- Physics, Mathematics
- 2 April 2020

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

- Megan Griffin-Pickering, M. Iacobelli
- Physics, Mathematics
- 29 September 2020

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, we… Expand

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Global strong solutions in $\mathbb{R}^3$ for ionic Vlasov-Poisson systems

- Megan Griffin-Pickering, M. Iacobelli
- Physics, Mathematics
- 26 June 2020

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 the… Expand

Global well-posedness in 3-dimensions for the Vlasov-Poisson system with massless electrons

- Megan Griffin-Pickering, M. Iacobelli
- Physics
- 16 October 2018

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 that… Expand

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