WORK 01

Stability of the Big Bang

In this project, we apply the perfect fluid model in General Relativity context. We construct a family of homogeneous solutions and ask: whether these solutions are stable under nonlinear perturbation?

document (Upon request)

slides (Upon request)

WORK 02

Stability of membrane equation

The relativistic membrane equation is derived from assuming vanishing mean curvature of the spacetime. We try to generalize the stability result to a specific dimension accompanied with a compact direction.

document (Upon request)