London PDE Seminar

\( R_{ a b } - \frac{1}{2} R \cdot g_{ a b } + \Lambda \cdot g_{ a b } = T_{ a b } \text{.} \)

The London PDE Seminar is a London-based online seminar featuring speakers at the forefront of mathematical research in partial differential equations.

Upcoming Seminars

The seminar convenes fortnightly, on every other Friday. All talks are held on Zoom—the details are as follows:

Date/Time: 14:00 (UK time), Friday, 26 November 2021

Speaker: Nastasia Grubic (ICMAT)

Title: On the 2D free boundary incompressible Euler equations with self-intersecting interface

Abstract: We show that free boundary incompressible Euler equations are locally well posed in a (highly symmetric) class of solutions in which the interface self-intersects and thus exhibits corner or cusp-like singularities. Contrary to what happens in all the previously known non-\(C^1\) water waves, the angle of these crests can change in time.

Date/Time: 14:00 (UK time), Friday, 10 December 2021

Speaker: Fred Alford (Imperial College London)

Title: A mathematical study of Hawking radiation for Reissner Nordstrom black holes

Abstract: In the first part of this talk, we will (briefly) derive the original calculation by Hawking in 1974 to determine the radiation given off by a black hole, giving the result in the form of an integral of a classical solution to the linear wave equation. In the second part of the talk, we will take this integral as a starting point, and calculate the radiation given off by a forming spherically symmetric, charged black hole.