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.