Mathematical Challenges in a New Phase of Materials Science

1. Generation of Defects and Disorder from Deeply Quenching a Liquid to Form a Solid
A. J. Archer, M. C. Walters, U. Thiele, E. Knobloch

2. Topological Analysis of the Diblock Copolymer Equation
Thomas Wanner

3. An Energy-Consistent Model of Dislocation Dynamics in an Elastic Body
Vladimír Chalupecký, Masato Kimura

4. Persistence of Common Topological Structures by Commutative Triple Ladder Quiver
Emerson G. Escolar, Yasuaki Hiraoka

5. Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations
Hisashi Naito

6. A Note on a Local Ergodic Theorem for an Infinite Tower of Coverings
Ryokichi Tanaka

7. Unboundedness of Some Solutions to Isentropic Model Equations for the One Dimensional Periodic Motions of a Compressible Self-Gravitating Viscous Fluid
Masahiro Sawada, Yoshitaka Yamamoto

8. Computer Assisted Verification of the Eigenvalue Problem for One-Dimensional Schrödinger Operator
Ayuki Sekisaka, Shunsaku Nii

Keywords: Mathematics, Partial Differential Equations, Mathematical Methods in Physics, Dynamical Systems and Ergodic Theory, Convex and Discrete Geometry