Smooth topology-preserving approximations of rough domains

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

• Professor John Ball, University of Oxford
• Wednesday 18 April 2012, 11:30-12:30
• MR2.

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

The talk concerns bounded domains with continuous boundary. We study how the corresponding “good direction”, with respect to which the boundary is locally a graph of a continuous function, varies in a neighborhood of the boundary, and thus show how such domains can be approximated both from the inside and the outside by topologically equivalent smooth domains. The good directions form a globally-defined field that carries some topological information about the domain, which we explore. Finally we describe a surprising consequence of the study, that the domain has portions of the boundary with better regularity. This is joint work with Arghir Zarnescu.

This talk is part of the Oxbridge PDE conference series.

This talk is included in these lists:

• All CMS events
• CMS Events
• DPMMS info aggregator
• Hanchen DaDaDash
• Interested Talks
• MR2
• My seminars
• Oxbridge PDE conference
• bld31

Note that ex-directory lists are not shown.