Noticias en español
The variational form of mollification: an overview.
Abstract:We shall consider ill-posed linear operator equations in Hilbert spaces, with particular attention to spaces of square integrable functions. We shall introduce the variational form of mollification. The problem of deconvolution of random variable will serve the purpose of illustration. We will also briefly put in perspective the possible extension of mollification to nonlinear inverse problems.
Read MoreEnergy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation.
Abstract: We present a theoretical and numerical study of Fourier space triad phase dynamics in 1-D stochastically forced Burgers equation at Reynolds number Re ≈ 27000. We show that Fourier triad phases over the inertial range display a collective behaviour characterised by intermittent periods of synchronisation and alignment, reminiscent of Kuramoto model (1984) and directly related to shock collisions in physical space. These periods of synchronisation favour efficient energy fluxes across the inertial range towards small scales, resulting in strong bursts of dissipation and enhanced...
Read More“ Dame control absolute sobre cada….”
Abstract: Como la letra de la canción de Leonard Cohen busco controlar pero no almas, sino ecuaciones. En esta charla presentaremos una visión panorámica de lo que es el control de ecuaciones parciales.
Read MoreImage Reconstruction in Dynamic PET Imaging & Regularisation Methods for Joint Image Reconstruction.
Abstract: Dynamic positron emission tomography (PET) imaging captures temporal information of biological processes in living tissue. This technique can be used, for example, for diagnosis and treatment monitoring of cancers and brain diseases by studying the activity distribution of radioactively-labelled pharmaceuticals injected into the patient’s body. Reconstructing time-varying images from a set of physical measurements (photon counts) is challenging due to the low signal-to-noise ratio and low spatial resolution of standard PET scanners. In this talk we present a reconstruction method...
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