Titlebook: Mathematical Challenges in a New Phase of Materials Science; Kyoto, Japan, August Yasumasa Nishiura,Motoko Kotani Conference proceedings 20

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An Energy-Consistent Model of Dislocation Dynamics in an Elastic Body,e energy in the slip plane and an elastic energy in the elastic body. The obtained model becomes a 3D-2D bulk-surface system and naturally includes the Peach-Koehler force term and the notion of dislocation core. We also derive a 2D-1D bulk-surface system for a straight screw dislocation and give some numerical examples for it.

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Conference proceedings 2016rs, 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.

Kidnap

Conference proceedings 2016, 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 refle

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Persistence of Common Topological Structures by Commutative Triple Ladder Quiver,ecial type of persistence modules defined on the so-called commutative triple ladder for the sake of simplicity. We aim to explain the essence of Auslander-Reiten theory in connection with persistence modules.

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,Computer Assisted Verification of the Eigenvalue Problem for One-Dimensional Schr?dinger Operator,easurement, the rotation number of the orbit in the resulting one-dimensional projective space. Combining the interval arithmetic method for dynamical systems, we demonstrate a computer-assisted proof for the existence of isolated eigenvalues within the first spectral gap.

SPER

2194-1009 ion 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.978-4-431-56777-6978-4-431-56104-0Series ISSN 2194-1009 Series E-ISSN 2194-1017

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ontains a heterogeneous population of cholinergic and GABAergic neurons, while the amygdala displays neurons with a complex receptor subunit composition. Investigation of neurons with this type of molecular diversity benefits from techniques such as scRT-PCR for cell identification. We also illustra