Topics in the mathematical design of materials-Reference-Cited by-同舟云学术

Topics in the mathematical design of materials

Published:2021-05-24 Issue:2201 Volume:379 Page:20200108
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Chen Xian¹^ORCID,Fonseca Irene²,Ravnik Miha³⁴^ORCID,Slastikov Valeriy⁵,Zannoni Claudio⁶^ORCID,Zarnescu Arghir⁷⁸⁹^ORCID

Affiliation:

1. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Pokfulam, Hong Kong

2. Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA

3. University of Ljubljana, Jadranska, 19, 1000 Ljubljana, Slovenia

4. Jozef Stefan Insitute, Jamova cesta, 39, 1000 Ljubljana, Slovenia

5. School of Mathematics, University of Bristol, Bristol BS8 1TW, UK

6. Dipartimento di Chimica Industriale ‘Toso Montanari’ and INSTM, Università di Bologna, Viale Risorgimento, 4, 40136 Bologna, Italy

7. BCAM, Basque Center for Applied Mathematics, Alameda Mazarredo, 14 Bilbao 48009, Spain

8. IKERBASQUE, Basque Foundation for Science, Plaza Euskadi, 5 48009 Bilbao, Bizkaia, Spain

9. ‘Simion Stoilow’ Institute of the Romanian Academy, 21 Calea Grivitei, 010702 Bucharest, Romania

Abstract

We present a perspective on several current research directions relevant to the mathematical design of new materials. We discuss: (i) design problems for phase-transforming and shape-morphing materials, (ii) epitaxy as an approach of central importance in the design of advanced semiconductor materials, (iii) selected design problems in soft matter, (iv) mathematical problems in magnetic materials, (v) some open problems in liquid crystals and soft materials and (vi) mathematical problems on liquid crystal colloids. The presentation combines topics from soft and hard condensed matter, with specific focus on those design themes where mathematical approaches could possibly lead to exciting progress. This article is part of the theme issue ‘Topics in mathematical design of complex materials’.

Funder

Eusko Jaurlaritza

H2020 European Research Council

National Science Foundation, US

Javna Agencija za Raziskovalno Dejavnost RS

Ministerio de Economía y Competitividad

Leverhulme Trust

HK Research Grants Council of Hong Kong

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics