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.