A Tale of Two Energies: a Story of Hyperbolic PDEs

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

• Willie WY Wong (University of Cambridge)
• Monday 29 November 2010, 17:00-18:00
• CMS, MR5.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

To paraphrase Jacques Hadamard: What a partial differential equation is, is well known. What hyperbolicity is, will be explained. I will give an expository discussion of systems of partial differential equations and their local well-posedness, with focus on the notion of regular hyperbolicity due to Demetrios Christodoulou; in particular the role of energy estimates will be emphasized and their systematic construction will be described. Within this framework, a local causal structure of hyperbolic equations can be defined, extending the concept of hyperbolic development of Jean Leray. Finally, I will touch on some recent work in which this local causal structure is compared against the background space-time causal structure in the context of Lagrangian theories of maps on a Lorentzian manifold.

The talk will be accessible to non-experts, and Part III and CCA students are encouraged to attend.

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

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR5
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• My seminars
• Partial Differential Equations seminar
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.