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Applied Mathematics Colloquium
Friday, November 14, 11:30 am
Cullimore Lecture Hall II
New
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On the semiclassical limit for the sine-Gordon equation
Peter Miller
Department of Mathematics
Ann Arbor, MI
Abstract
I will discuss some aspects of recent work on the Cauchy problem in laboratory
coordinates for the sine-Gordon equation,
subject to a semiclassical scaling that introduces an essential separation of scales into the dynamics. This type of scaling naturally occurs in the modeling of
superconducting Josephson tunneling
junctions in which macroscopic (laboratory scale) excitations create a large number of quanta
of magnetic flux whose nonlinear
interactions can become complicated.
This is joint work with Robert
Buckingham.