Background: The majority of complex and advanced materials contain nanoparticles. The
properties of these materials depend crucially on the size and shape of these nanoparticles …

Due to the excellent thermo-mechanical properties, nickel-based single-crystal superalloys
(Ni-SXs) are widely used as a turbine blade material in aero-engine and gas turbine. Ni-SXs …

Convex and Discrete Geometry is an area of mathematics situated between analysis,
geometry and discrete mathematics with numerous relations to other areas. The book gives …

In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The
Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical …

Essentially there are two variational theories of liquid crystals explained in this book. The
theory put forward by Zocher, Oseen and Frank is classical, while that proposed by Ericksen …

Predictions are made based on an analysis of a new nonlinear theory of martensitic
transformations introduced by the authors. The crystal is modelled as a nonlinear elastic …

There are several interesting examples of equations governing motion of hypersurfaces
bounding two phases of materials in various sciences. Such a hypersurface is called an …

The present book contains a proof of essentially one theorem (Theorem 1.9) about the
asymptotic shape of a droplet. That alone accounts for such a long time it took to write the …

We examine the equilibrium morphologies of precipitates with either a tetragonal or purely
dilatational misfit in an elastically anisotropic medium with cubic symmetry under conditions …

A Materials Project based open-source Python tool, MPInterfaces, has been developed to
automate the high-throughput computational screening and study of interfacial systems. The …