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2021-22

Organisers: Jo Evans, Marie-Therese Wolfram, Jose Rodrigo, Charlie Elliott

Time & place: Tuesdays 12-1 in week 2,4,6, 8 and 10 in B3.02

The PDEA seminar will be held in a hybrid format this year - speakers either come in person or join us via MS teams. You can do the same - come in person or watch it on teams ;-)

Schedule for Term 1:

  • 12/10 Mahir Hadzic (UCL) - Speaker coming in person

Title: Dynamics of the Newtonian stars

Abstract: The starting point for this talk is the classical gravitational Euler-Pousson system describing isolated stars. After giving a brief review of what is mathematically known, I will focus on the question of stellar collapse and the intricately related scaling invariances of the system. I will the present recent works on the existence of self-similar imploding stars, obtained jointly with Yan Guo, Juhi Jang, and Matthew Schrecker.

  • 26/10 Megan Griffin-Pickering (Durham) - Speaker coming in person

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

Abstract: The Vlasov-Poisson system is a PDE of kinetic type widely used in plasma physics. The precise structure of the model differs according to whether it describes the electrons or positively charged ions in the plasma, with the classical version of the system modelling the electrons. The Vlasov-Poisson system with massless electrons (VPME) describes instead the evolution of ions in a dilute plasma, interacting with thermalized electrons.

Compared to the electron case, the VPME system includes an additional exponential nonlinearity in the equation for the electrostatic potential, which creates several mathematical difficulties. In particular, while for the electron model the well-posedness theory in 3 dimensions is well established, the theory for ion models has been investigated more recently.

I will present results showing the global-in-time existence and uniqueness of classical solutions for the VPME system in 3 dimensions, generalising the known theory for the electron model to the ion case. This is based on joint work with Mikaela Iacobelli.

  • 9/11 Andrew Kei-Fong Lam - Speaker online

Title and Abstrac: tbc

  • 23/11 Isabelle Tristani - Speaker online

Title and Abstract: tbc

  • 7/12 Susana Gutierrez

Title and Abstract: tbc