New Aspects of Mathematical Modeling and Analysis in Materials Science
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Toyohiko Aiki
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Japan Women’s University
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Japan
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Adrian Muntean
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Karlstad University
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Sweden
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Introduction:
| | Expectations for advancements in materials science continue to rise. In response, the field has become increasingly effective, driving the development of innovative new products. The enhanced functionality of these materials relies heavily on a robust experimental understanding of microstructural evolution, as well as an equally strong capability to mathematically model the underlying physics and make accurate predictions. This section aims to advance mathematical methodologies for modeling new materials with complex microstructures. In addition to addressing multiscale problems, we will explore mathematical analysis and simulation techniques for tackling domain-changing phenomena - such as the deformation of elastic materials - and cross-diffusion-type systems, which arise in contexts like moisture transport through porous media and charge movement in energy-harvesting materials.
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