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August 2012
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Events for August 2012:

2 (Thursday) MATH LECTURE
"On two conjectures of Erdos"
Oliver Roche-Newton (University of Bristol )
11 am, Hylan 1106A
We shall discuss the sum-product conjecture and the distinct distance conjecture and connections between the two.
31 (Friday) Analysis Seminar
An Introduction to the Hyperelastic Rod Equation
David Karapetyan, University of Rochester
2 pm - 3 pm, Hylan 1106A
In this talk we give an introduction to the history of the hyperelastic rod equation (HR), a "weakly dispersive" perturbation, parametrized by $\gamma \in \mathbb{R}$, of a non-viscous Burgers equation. A notable feature of HR is that it subsumes the Camassa-Holm equation ($\gamma=1$) and the Benjamin-Bona-Mahony equation ($\gamma=0$), but unlike these equations it has an ill-posedness theory which is largely incomplete for $\gamma \neq 0,1$. We also discuss some recent results on the Holder continuity of the data-to-solution map for HR from $H^s$ to $H^r$, where $s>r$.