By Yasumasa Nishiura, Motoko Kotani

This quantity includes 8 papers brought on the RIMS overseas convention "Mathematical demanding situations in a brand new part of fabrics Science", Kyoto, August 4–8, 2014. The contributions deal with topics in illness dynamics, negatively curved carbon crystal, topological research of di-block copolymers, patience modules, and fracture dynamics. those papers spotlight the powerful interplay among arithmetic and fabrics technological know-how and likewise replicate the job of WPI-AIMR at Tohoku college, during which collaborations among mathematicians and experimentalists are actively ongoing.

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

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27], which provide insight into the typical frequency of long-term limits of the equation. We also indicate how these observations can be made rigorous using computer-assisted topological methods, and answer an open question from [27]. Finally, in Sect. 4 we outline further work in this area, including a number of open questions. We would like to emphasize that the selection of material in this article is purely based on the author’s interest, and that the article is not a comprehensive account of topological methods in evolution equations.

J. Stat. Mech. Theor. Exp. 2010, P10015 (2010) 54. : Interfacial and wetting behaviour of phase-separating ultrasoft mixtures. Mol. Phys. 109, 1121 (2011) 55. : Flow quantization and nonequilibrium nucleation of soft crystals. Soft Matter 8, 4121 (2012) 56. : A density-functional theory study of microphase formation in binary Gaussian mixtures. J. : Condens. Matter 24, 284106 (2012) 57. : A density-functional theory investigation of cluster formation in an effective-potential model of dendrimers.

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