BOSTON UNIVERSITY/KEIO UNIVERSITY WORKSHOP 2018Dynamical SystemsBoston University — June 25-29, 2018 |
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Abstracts and lecture notes for contributed talks:
In this talk, we will discuss such phenomena in the framework of the Swift-Hohenberg equation, a prototypical model of pattern formation. In one spatial dimension, we will show how techniques from infinite-dimension dynamics, such as center-manifold reduction and invariant foliations, as well as Melnikov integrals, can be used to prove existence of stripe-forming front solutions. Time permiting, we will also discuss how functional analytic techniques can be used to study pattern formation in two spatial dimensions.
The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. This is further compared with the Walecka model.