01.02.2022 (Tuesday)

Stabilising relativistic fluids on slowly expanding cosmological spacetimes

Regular Seminar Zoe Wyatt (King's College London)

at:
14:00 QMW
room MB 503 Maths and Zoom
abstract:

On a background Minkowski spacetime, the relativistic Euler equations are known, for a relatively general equation of state, to admit unstable homogeneous solutions with finite-time shock formation. By contrast, such shock formation can be suppressed on background cosmological spacetimes whose spatial slices expand at an accelerated rate. The critical case of linear, ie zero-accelerated, spatial expansion, is not as well understood. In this talk, I will present two recent works concerning the relativistic Euler and the Einstein-Dust equations for geometries expanding at a linear rate. This is based on joint works with David Fajman, Todd Oliynyk and Max Ofner. Email m.godazgar@qmul.ac.uk for zoom link