The paper “A sharp Poincaré inequality for functions in W(1,I)“, co-authored by Jonathan Bevan, Jonathan Deane, and Sergey Zelik, has been published in the Proceedings of the American Mathematical Society. The novelty is the proof is in the space of functions W(1,I)=W^{1,\infty}(\Omega,R) and it is sharp. The domain Omega is bounded and convex. A link […]
Read more
The paper “A note on optimal transport and Monge-Ampère geometry“, with sole author Roberto D’Onofrio, has been published in the Journal of Geometry and Physics (link to published version). In the paper he identifies a novel connection between a recently introduced pseudo-Riemannian framework for optimal mass transport and the geometry of Monge-Ampère equations. The theory […]
Read more
The 60-page paper “Approximate localised dihedral patterns near a Turing instability“, co-authored by Dan Hill (Saarlandes, Germany), Jason Bramburger (Concordia, Canada), and David Lloyd, has been accepted for publication in Nonlinearity. The final form preprint can be found on the arXiV (link here). The paper presents a comprehensive approach to the problem of localised 2D […]
Read more
Gianne Derks is visiting the University of Lund this week (6-10 February). This visit is part of her role as the Hedda Andersson Visiting Professorship at Lund which ends in March 2023 (see announcement here). Her host for the visit is Sara Maad Sasane (homepage here). Below is a photograph of Gianne and her host, […]
Read more
The paper “Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus“, co-authored by Bin Cheng and Zisis Sakellaris, has been published in this month’s isse of Physica D (online link here). The paper was communicated by Associate Editor M Jolly. The paper gives a rigorous analysis of near resonance for the rotating […]
Read more
Ian Roulstone is speaking this evening (Wednesday 8th February) at the University of Bristol, in an evening talk in the Chaos series of the University of Bristol Physics society. Ian will be talking about his book, “Invisible in the Storm: the role of Mathematics in Weather and Climate“. The screenshot below is from the instagram […]
Read more
