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Mathematical Challenges in a New Phase of Materials Science

Kyoto, Japan, August 2014

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Yasumasa Nishiura

    1. WPI Advanced Institute for Materials Research, Tohoku University, Sendai, Japan

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  2. Motoko Kotani

    1. WPI Advanced Institute for Materials Research, Tohoku University, Sendai, Japan

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  • Includes the latest studies of mathematical aspects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics
  • Presents materials beneficial not only for mathematicians but also for physicists and engineers
  • Reflects the activities of the Advanced Institute for Materials Research at Tohoku University

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 166)

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Table of contents (8 papers)

  1. Front Matter

    Pages i-vii
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  2. Generation of Defects and Disorder from Deeply Quenching a Liquid to Form a Solid

    • A. J. Archer, M. C. Walters, U. Thiele, E. Knobloch
    Pages 1-26

  3. Topological Analysis of the Diblock Copolymer Equation

    • Thomas Wanner
    Pages 27-51

  4. An Energy-Consistent Model of Dislocation Dynamics in an Elastic Body

    • Vladimír Chalupecký, Masato Kimura
    Pages 53-68

  5. Persistence of Common Topological Structures by Commutative Triple Ladder Quiver

    • Emerson G. Escolar, Yasuaki Hiraoka
    Pages 69-82

  6. Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations

    • Hisashi Naito
    Pages 83-100

  7. A Note on a Local Ergodic Theorem for an Infinite Tower of Coverings

    • Ryokichi Tanaka
    Pages 101-116

  8. 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
    Pages 117-144

  9. Computer Assisted Verification of the Eigenvalue Problem for One-Dimensional Schrödinger Operator

    • Ayuki Sekisaka, Shunsaku Nii
    Pages 145-157
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Keywords

About this book

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.

Editors and Affiliations

  • WPI Advanced Institute for Materials Research, Tohoku University, Sendai, Japan

    Yasumasa Nishiura, Motoko Kotani

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