Topics in Applied Analysis and Optimisation: Partial Differential Equations, Stochastic and Numerica

Recent trends and views on elliptic quasi-variational inequalities.- The incompatibility operator: from Riemann intrinsic view of Geometry to a new model of elasto-plasticity.- Nonlocal phase field models of viscous Cahn-Hilliard type.- Invariant and quasi-invariant measures for equations in Hydrodynamics.- Long-range phase coexistence models: recent progress on the fractional Allen-Cahn equation.- Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space.- On the use of ADMM for image inverse problems: the pros and the cons of matrix inversions.- Models and numerical methods for electrolyte flows.- Consequences of uncertain friction for the transport of natural gas through passive networks of pipelines.- Probabilistic methods for spatial multihop communication systems.- Mathematical modeling of semiconductors: from quantum mechanics to devices.- Gradient structures for flows of concentrated suspensions.- Variational and quasi-variational inequalities with gradient type constraints.- Models of dynamic damage and phase-field fracture, and their various time discretisations.