Dave Lloyd is visiting the Division of Arithmetic at Imperial Faculty London immediately (Thursday 25 January), to provide a chat within the Dynamical Methods Seminar Collection. The title of his discuss is “Advances within the evaluation of multidimensional localised patterns“. His discuss will current current outcomes on creating centre-manifold discount strategies for multidimensional localised patterns. Within the first a part of the discuss, he’ll consider axisymmetric spikes rising from the floor of a magnetic fluid. It’s proven how the ferrofluid drawback (modelled by the Navier-Stokes equation coupled to Maxwell’s equations) could be decomposed into an infinite-system of coupled radial ODEs the place invariant manifold idea could be utilized to point out the existence of varied sorts of axisymmetric patterns. Within the second half of the discuss, he’ll current an approximate idea for extra sophisticated localised patches involving basic dihedral mobile patterns the place once more radial invariant manifold idea can be utilized. The picture beneath is from his newest paper “Dihedral rings of patterns rising from a Turing bifurcation” quickly to look in Nonlinearity.