Analysis and PDE Seminar
Title: Universal wave patterns
Abstract: A feature of solutions of a (generally nonlinear) field
theory can be called "universal" if it is independent of side conditions like initial data. I will explain this phenomenon in some detail and then illustrate it in the context of the sine-Gordon equation, a fundamental relativistic nonlinear wave equation. In particular I will describe some recent results (joint work with R. Buckingham) concerning a universal wave pattern that appears for all initial data that crosses the separatrix in the phase portrait of the simple pendulum. The pattern is fantastically complex and beautiful to look at but not hard to describe in terms of elementary solutions of the sine-Gordon equation and the collection of rational solutions of the famous inhomogeneous Painlev\'e-II equation.
Date:
-
Location:
745 Patterson Office Tower
Event Series:
National Chemistry Week Celebration is a Don’t-miss Event
Chemistry department students, staff and faculty will host an interactive and exciting demonstration show titled "Energy Now and Forever!"
A Mexican Celebration of Life and Death – Dia de los Muertos
As part of the Viva Mexico events and activities, all are invited to participate in several opportunities to experience Mexican culture and celebrations.
Open Access Week to Explore Altmetrics
This week, UK Libraries will be presenting Open Access Week, with panels to exploring how social media is changing the way we share ideas and collaborate.
Biology Presents Annual Thomas Hunt Morgan Speaker Series
This week, prominent evolutionary biology John Avis will deliver two lectures on campus as part of the fifth annual installment of the Thomas Hunt Morgan Speaker Series.
Imperial Intentions and Frontier Realities: Provincial Politics in the Aztec Empire
A graduate of the University of Kentucky (Ph.D. 2008), Dr. Venter is an expert on political and social interaction on the frontiers of the Aztec Empire. With National Science Foundation support, Dr. Venter rediscovered the head town of Totogal in the Aztec province of Tochtepec. Her research sheds light on how indigenous inhabitants on the fringes of empire negotiated their position vis-à-vis their Aztec overlords and their regional neighbors.
La Dr. Venter, graduanda de la Universidad de Kentucky (Ph.D. 2008), es experta en cuanto a las interacciones politicas y sociales en las fronteras del Imperio Azteca. Con el apoyo del National Science Foundation, ella logro redescubrir la ciudad de Totogal en la la provincia Azteca de Tochtepec. Sus estudios e investigaciones han esclarecido como los Aztecas realizaban negociaciones con sus vecinos y superiores en cuanto a la posicion que sostenian en la sociedad.
Date:
-
Location:
Whitehall Classroom Building, Room 114
Event Series:
Fables of the Reconstruction: Andrew Byrd
Proto-Indo-European, which Dr Byrd studies, is the prehistoric ancestor of hundreds of languages, including English, Spanish, Greek, Farsi, Armenian, and more.