The paper “The non-autonomous Navier-Stokes-Brinkman-Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors“, co-authored by Dominic Stone and Sergey Zelik, has been accepted for publication, open access, in the PRSE. The paper gives a comprehensive study of the 3D Navier-Stokes-Brinkman-Forchheimer equations in a bounded domain endowed with the Dirichlet boundary conditions and non-autonomous external […]
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The paper “Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics“, co-authored by Paul Bergold and Cesare Tronci, has been published in the proceedings of the 2023 conference on “Geometric Science of Information” (link to published paper here). The paper presents a geometric formulation, in terms of Hamilton’s variational principle and Euler-Poincaré reduction by symmetry, […]
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Congratulations to Giacomo Acciarini for passing his PhD confirmation examination! It was held on Monday 7th August, and the examiners were Andrea Lucca Fabris (Surrey Space Centre) and Tom Bridges. The title of his project is “Stochastic continuation for space trajectory design in uncertain environments”. Giacomo is a joint PhD student between Mathematics (with supervisor […]
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The paper “Attractors. Then and Now“, authored by Sergey Zelik, has been published in Russian Mathematical Surveys. It is 146 pages long, and is the longest paper ever published in the history of RMS. It is both a survey paper and a presentation of new results. It discusses the classical and modern results of the […]
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Polina Vytnova has been travelling around Europe this summer attending and speaking at a range of conferences on dynamical systems. During 14-19 May, she attended and spoke at the conference “Thermodynamic Formalism: Non-additive Aspects and Related Topics” in Bedlewo, Poland on “Discrepancy between dimensions of self-similar measures” (conference webpage here). Inn June she attended the […]
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The paper “The Gaussian wave packet transform via quadrature rules“, co-authored by Paul Bergold and Caroline Lasser (TU Munich), has been published in the IMA Journal of Numerical Analysis. Based on the Fourier inversion formula and a partition of unity, a new representation of square-integrable functions is presented. Including a rigorous error analysis, the variants […]
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