University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Stability of de Sitter space under Lorentzian constant mean curvature flow

Stability of de Sitter space under Lorentzian constant mean curvature flow

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Harsha Hutridurga.

Time-like constant mean curvature hypersurfaces in Minkowski space are one way to model extended test bodies evolving under a constant normal force. The associated equations are quasilinear hyperbolic partial differential equations, for which we study the Cauchy problem. An explicit solution is an appropriately-rescaled de Sitter space, with the usual hyperboloidal embedding. We discuss the nonlinear stability of this solution, focussing on the geometric obstructions, and their resolutions, that arise when passing from the homogeneous case to the inhomogeneous case.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity