Singular Phenomena and Scaling in Mathematical Models

Part I. Scaling Limits of Diffusion Processes and Singular Spaces

1. Ricci Bounds for Euclidean and Spherical Cones
Kathrin Bacher, Karl-Theodor Sturm

2. A Monotone Approximation to the Wasserstein Diffusion
Karl-Theodor Sturm

3. Adapted Function Spaces for Dispersive Equations
Herbert Koch

4. A Note on Metastable Behaviour in the Zero-Range Process
Anton Bovier, Rebecca Neukirch

5. Convergence of the Two-Point Function of the Stationary TASEP
Jinho Baik, Patrik Lino Ferrari, Sandrine Péché

Part II. Multiple Scales in Mathematical Models of Materials Science and Biology

6. Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field
Matthias Kurzke, Christof Melcher, Roger Moser

7. On Prandtl-Reuss Mixtures
Jens Frehse, Josef Málek

8. Modeling and Simulation of Lipid Monolayers as Surfactant in Lung Alveoli
Annelene Wittenfeld, Andrey Ryskin, Wolfgang Alt

9. Fluid Mixtures and Applications to Biological Systems
Hans Wilhelm Alt, Wolfgang Alt

10. A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow
Ricardo Perl, Paola Pozzi, Martin Rumpf

11. Energy Scaling and Domain Branching in Solid-Solid Phase Transitions
Allan Chan, Sergio Conti

Part III. Numerics for Multiscale Models and Singular Phenomena

12. On a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher Dimensions
Michael Griebel, Alexander Hullmann

13. Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditions
Michael Griebel, Margrit Klitz

14. A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements
Dorian Krause, Konstantin Fackeldey, Rolf Krause

15. A Moving Least Squares Approach to the Construction of Discontinuous Enrichment Functions
Marc Alexander Schweitzer, Sa Wu

16. Second Moment Analysis for Robin Boundary Value Problems on Random Domains
Helmut Harbrecht

17. Simulation of Q-Tensor Fields with Constant Orientational Order Parameter in the Theory of Uniaxial Nematic Liquid Crystals
Sören Bartels, Alexander Raisch

18. A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations
Sören Bartels, Mario Bebendorf, Michael Bratsch

Nyckelord: Mathematics, Computational Science and Engineering, Computational Mathematics and Numerical Analysis