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Panagiotis Souganidis : A theory for first- and second-order partial differential equations on junctions

Posted by Mimi Dai , part of the Departmental Colloquium.

At
Sept. 15, 2017, 3 p.m.
In
SEO 636
Abstract
I will present recent developments about first- and second-order PDE on junctions. I will discuss some concrete applications, the well-posedness of the problems, as well as stability of asymptotic limits including fattening of domains. If time permits, I will also present some new results about scalar conservation laws along the same spirit. This is joint work with Pierre-Louis Lions.