Topics in applied analysis and optimisation : partial differential equations, stochastic and numerical analysis ; joint CIM-WIAS workshop, TAAO 2017, Lisbon, Portugal, December 6-8, 2017

This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis. Front Matter ....Pages i-xxxvii Recent Trends and Views on Elliptic Quasi-Variational Inequalities (Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg)....Pages 1-31 The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity (Samuel Amstutz, Nicolas Van Goethem)....Pages 33-70 Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type (Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels)....Pages 71-100 Invariant and Quasi-invariant Measures for Equations in Hydrodynamics (Ana Bela Cruzeiro, Alexandra Symeonides)....Pages 101-120 Long-range Phase Coexistence Models: Recent Progress on the Fractional Allen-Cahn Equation (Serena Dipierro, Enrico Valdinoci)....Pages 121-138 Elements of Statistical Inference in 2-Wasserstein Space (Johannes Ebert, Vladimir Spokoiny, Alexandra Suvorikova)....Pages 139-158 On the Use of ADMM for Imaging Inverse Problems: the Pros and Cons of Matrix Inversions (Mário A. T. Figueiredo)....Pages 159-181 Models and Numerical Methods for Electrolyte Flows (Jürgen Fuhrmann, Clemens Guhlke, Alexander Linke, Christian Merdon, Rüdiger Müller)....Pages 183-209 Consequences of Uncertain Friction for the Transport of Natural Gas through Passive Networks of Pipelines (Holger Heitsch, Nikolai Strogies)....Pages 211-238 Probabilistic Methods for Spatial Multihop Communication Systems (Benedikt Jahnel, Wolfgang König)....Pages 239-268 Mathematical Modeling of Semiconductors: From Quantum Mechanics to Devices (Markus Kantner, Alexander Mielke, Markus Mittnenzweig, Nella Rotundo)....Pages 269-293 Gradient Structures for Flows of Concentrated Suspensions (Dirk Peschka, Marita Thomas, Tobias Ahnert, Andreas Münch, Barbara Wagner)....Pages 295-318 Variational and Quasi-Variational Inequalities with Gradient Type Constraints (José Francisco Rodrigues, Lisa Santos)....Pages 319-361 Models of Dynamic Damage and Phase-field Fracture, and their Various Time Discretisations (Tomáš Roubícek)....Pages 363-396 Joint CIM-WIAS Workshop, TAAO 2017, Lisbon, Portugal, December 6-8, 2017