The paper “A condition for the Hölder continuity of local minimizers of a nonlinear elastic energy in two dimensions“, by Jon Bevan, has been accepted for publication in the Archives for Rational Mechanics and Analysis. The paper proves the local Hölder continuity of strong local minimizers of the stored energy functional subject to a condition of `positive twist’. The latter turns out to be equivalent to requiring that the basic function maps circles to suitably star-shaped sets. The main innovation is to prove that if a local minimizer has positive twist almost everywhere on a ball then an Euler-Lagrange type inequality holds and a Caccioppoli inequality can be derived from it. The claimed Hölder continuity then follows by adapting elliptic regularity theory. The paper will appear on the ARMA website in due course.
The paper Constraining DALEC v2 using multiple data streams and ecological constraints: analysis and application” by Sylvain Delahaies, Ian Roulstone, and Nancy Nichols (Reading) has just been published in the journal Geoscientific Model Development, published by the European Geophysical Union. The paper uses a variational method to assimilate multiple data streams into the terrestrial ecosystem carbon cycle model DALEC v2. The paper is open access and can be downloaded here.
Congratulations to Sean Cleator who passed his PhD confirmation examination today (Thursday 9th February). His confirmation report is titled “Glacial and holocene climates reconstructed by vegetation-model inversion“. The examiners were Philip Aston and Anne Skeldon. His supervisors are Ian Roulstone, Sandy Harrison (Reading) and Nancy Nichols (Reading).
The Applied Geometric Mechanics Network has been funded by the London Mathematical Society for another year. The network is led by Cesare Tronci and links research groups at Brunel, Imperial, and Surrey. The grant provides funds for three AGM meetings over the course of the year. New themes this year are stochastic Hamiltonian dynamics and geometric methods in theoretical chemistry.
Congratulations to Joakim Stromvall who passed his PhD confirmation examination on Wednesday the 25th of January. His confirmation report is titled “Hopf superalgebras and massless scattering in the AdS3/CFT2 correspondence“. The examiners were Jock McOrist and Cesare Tronci. His supervisors are Alessandro Torrielli and Martin Wolf.
Matt Turner is visiting the School of Mathematics at the University of East Anglia today (Monday 6th February) to give a talk in the Applied Mathematics Seminar. The title of his talk is “Time-dependent conformal mappings with applications to nonlinear sloshing problems“.