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  • © 2022

Research in Mathematics of Materials Science

  • Showcases contributions of women mathematicians in the field of Materials Science
  • Gathers multidisciplinary scientific output in one volume
  • Raises awareness of the rapidly developing field of Materials Science

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 31)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xii
  2. Research Papers

    1. Front Matter

      Pages 1-1
    2. Interaction Between Oscillations and Singular Perturbations in a One-Dimensional Phase-Field Model

      • Annika Bach, Teresa Esposito, Roberta Marziani, Caterina Ida Zeppieri
      Pages 3-31
    3. Grain Growth and the Effect of Different Time Scales

      • Katayun Barmak, Anastasia Dunca, Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
      Pages 33-58
    4. On Some Models in Radiation Hydrodynamics

      • Xavier Blanc, Bernard Ducomet, Šárka Nečasová
      Pages 79-102
    5. Poro-Visco-Elasticity in Biomechanics: Optimal Control

      • Lorena Bociu, Sarah Strikwerda
      Pages 103-132
    6. Doubly Nonlocal Cahn–Hilliard Equations

      • Mikil D. Foss, Petronela Radu, Laura White
      Pages 239-255
    7. 3D Image-Based Stochastic Micro-structure Modelling of Foams for Simulating Elasticity

      • Anne Jung, Claudia Redenbach, Katja Schladitz, Sarah Staub
      Pages 257-281
    8. Machine Learning for Failure Analysis: A Mathematical Modelling Perspective

      • Judith Pérez-Velázquez, Meltem Gölgeli, Carlos Alfonso Ruiz Guido
      Pages 283-296
    9. Invertibility of Orlicz–Sobolev Maps

      • Giovanni Scilla, Bianca Stroffolini
      Pages 297-317
    10. GENERIC for Dissipative Solids with Bulk–Interface Interaction

      • Marita Thomas, Martin Heida
      Pages 333-364
  3. Review Papers

    1. Front Matter

      Pages 365-365
    2. Phase Separation in Heterogeneous Media

      • Riccardo Cristoferi, Irene Fonseca, Raghavendra Venkatraman
      Pages 367-382

About this book

This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.


Editors and Affiliations

  • School of Mathematical and Statistical Sciences, Arizona State University, Tempe, USA

    Malena I. Español

  • Mathematics Department, University of Pittsburgh, Pittsburgh, USA

    Marta Lewicka

  • Department of Mathematics, Heriot-Watt University, Edinburgh, UK

    Lucia Scardia

  • Institute of Mathematics, Universität Würzburg, Würzburg, Germany

    Anja Schlömerkemper

About the editors

Malena I. Español is an applied mathematician specializing in Numerical Analysis and Numerical Linear Algebra.  Her research involves developing, analyzing, and applying mathematical models and numerical methods to problems arising in materials science and image processing.  She is a faculty member in the School of Mathematical and Statistical Sciences at Arizona State University, USA. 


Marta Lewicka is a mathematician specializing in Analysis and PDEs. She has contributed results in the theory of nonlinear elasticity, hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, potential theory and differential games. She is a Fellow of the American Mathematical Society and she holds Professor’s scientific title awarded by the President of the Republic of Poland. She works at the University of Pittsburgh, USA.


Lucia Scardia is a mathematician working in the calculus of variations and partial differential equations with applications in materials science. In particular, her interests include homogenization (deterministic and stochastic), harmonic analysis, non-local aggregation problems, dislocation theory, plasticity, and fracture and damage. She is an Associate Professor at Heriot-Watt University in Edinburgh, UK.


Anja Schlömerkemper is a professor of mathematics specializing in Mathematical Analysis with applications to Materials Science and Physics. She studies elastic and magnetic materials by involving methods from calculus of variations, PDEs and homogenization theory. She is the president of the International Society for the Interaction of Mechanics and Mathematics and she leads the chair of Mathematics in the Sciences at the University of Würzburg, Germany. 

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access