The paper “Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation“, co-authored by Mark Groves (Saarbrucken, Germany), David Lloyd, and Athanasios Stylianou (Kassel, Germany) has been accepted for publication in Physica D. The paper establishes the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisation law. Methodology includes Hamiltonian structure, centre manifold theory, and normal form transformations.
The Reading-Surrey NERC-funded DTP on the SCience of the Environment: Natural and Anthropogenic pRocesses, Impacts and Opportunities (SCENARIO) has awarded Ian Roulstone a studentship for a project (joint with the UK Met Office) on “Optimal Mitigation of Sampling Error in Ensemble Data Assimilation“. This studentship has been taken up by a candidate from Durham and the project starts in Autumn 2017.
Gianne Derks is giving a talk in the Analysis and Differential Equations Seminar today (Thursday 2 March) at the University of Bath. The title of her talk is “Existence and stability of fronts in inhomogeneous wave equations“. In the talk, wave equations with finite length inhomogeneities are considered. The underlying Hamiltonian structure allows for a rich family of stationary front solutions. It is shown that changes of stability can only occur at critical points of the length of the inhomogeneity as a function of the energy density inside the inhomogeneity. The theory is illustrated with an example related to a Josephson junction system with a finite length inhomogeneity associated with variations in the Josephson tunneling critical current and an application to DNA-RNAP interactions. Full detailed abstract is available at the above link.
Jock McOrist is giving a talk today (Thursday 2 March) in the String Theory Seminar at DAMTP, University of Cambridge. The title of his talk is “A metric and geometry for heterotic moduli“. Abstract: heterotic vacua, defined by certain 3 complex-dimensional manifolds with a holomorphic bundle admitting a connection satisfying hermitian Yang-Mills and an anomaly condition, realize four-dimensional chiral gauge theories with N=1 SUSY . Exploiting the supersymmetric relations and geometry, the talk will describe the alpha’-corrected couplings for the four-dimensional effective field theory. This yields a natural Kahler metric for the moduli space with a shockingly simple Kahler potential. Along the way, a natural geometric structure for the heterotic moduli is revealed.
Guido Gentile, a Professor at Università Roma Tre, and Visiting Professor at the University of Surrey, is visiting the department for research interaction with Jonathan Deane and Michele Bartuccelli. He will be with us for the next two weeks (till mid March) and the team will be working on a number of problems related to planetary dynamics.
On Wednesday 22nd February, Philip Aston attended a reception organised by the Council for the Mathematical Sciences at the House of Commons. At the reception, Prof Sir Adrian Smith gave a few hints concerning his forthcoming report to government on post-16 mathematics education. There were also some talks about the revised format and membership of the Advisory Committee on Mathematics Education (ACME).