This is a collection of extended abstracts of a mini-workshop “Logic, Combinatorics and Independence results” that took place on November 25 – December 2, 2006 in Oberwolfach. The mini-workshop was attended by 16 researchers ...

The purpose of the meeting was to relate and study new developments in the geometry and topology of Riemannian manifolds with lower curvature bounds. Special emphasis was given to lower Ricci curvature bounds in the sense ...

A mathematical analysis for peridynamics, a nonlocal elastic theory, is the subject of the mini-workshop. Peridynamics is a novel multiscale mechanical model where the canonical divergence of the stress tensor is replaced ...

Despite enormous progress in the last couple of decades, collective phenomena still mark one of the basic challenges of mathematical statistical mechanics. A number of approaches have been developed that provide a rigorous ...

Isogeometric Analysis (IgA) is a new paradigm which is designed to merge two so far disjoint disciplines, namely, numerical simulations for partial differential equations (PDEs) and applied geometry. Initiated by the ...

The workshop Mathematical Methods and Models of Continuum Biomechanics focused on skills and tools providing a rational approach for integrating data that reductionist and molecular approaches in modern biological and ...

The mathematical foundation of fracture mechanics has seen considerable advances in the last fifteen years. While this progress has been substantial, it has been largely limited to quasi-static evolutions based on global ...

Crystallisation, by which we mean the formation of solids precipitating from a solution, is the central theme of the present mini-workshop. Participants discussed different approaches towards a rigorous mathematical ...

Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting ...