Mathematical Challenges in a New Phase of Materials Science: Kyoto, Japan, August 2014

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Yasumasa Nishiura, Motoko Kotani
Springer, Jul 11, 2016 - Mathematics - 157 pages
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction between mathematics and materials science and also reflect the activity of WPI-AIMR at Tohoku University, in which collaborations between mathematicians and experimentalists are actively ongoing.
 

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Contents

Generation of Defects and Disorder from Deeply Quenching a Liquid to Form a Solid
1
Topological Analysis of the Diblock Copolymer Equation
27
An EnergyConsistent Model of Dislocation Dynamics in an Elastic Body
53
Persistence of Common Topological Structures by Commutative Triple Ladder Quiver
69
Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations
83
A Note on a Local Ergodic Theorem for an Infinite Towerof Coverings
101
Unboundedness of Some Solutions to Isentropic Model Equations for the One Dimensional Periodic Motions of a Compressible SelfGravitating Visc...
117
Computer Assisted Verification of the Eigenvalue Problem for OneDimensional Schrödinger Operator
145
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