Modeling and Analyses in Advanced Materials
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".
Deadline for manuscript submissions: 30 September 2024 | Viewed by 543
Special Issue Editors
Interests: partial differential equations; modeling in materials science; parabolic/elliptic systems; finite element method; computational fluid dynamics and its applications
Special Issue Information
Dear Colleagues,
Advanced materials, such as shape memory alloys, superconductors, and graphene, are not so simple that they can be understood and controlled without abstraction. Hence, mathematical modeling plays an important role in the investigations of these materials. The models may be at the nano- micro- meso- or macro-scale, and the corresponding methods used include first principle, density functional theory, phase-field, and sharp-interface approaches. Moreover, many real materials involve several scales at the same time; thus, multi-scale modeling is necessary.
Due to the complexity of these models, analytical solutions are generally not available; thus, mathematical analysis and numerical simulations are employed to examine their validity and numerical efficiency. This is how we describe the processes they model. Simulations based on these models can be also applied to design new materials, such as in material genome initiatives.
This Special Issue is intended to represent a collection of scientific articles concerned with the modeling of advanced materials and the theoretical analysis and various applications of those employed by material scientists.
Prof. Dr. Peicheng Zhu
Dr. Xiaoxue Qin
Guest Editors
Manuscript Submission Information
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Keywords
- mathematical modeling
- simulation/numerical analysis
- theoretical analysis
- validity of models
- phase-field models
- sharp interface models
- materials genome initiative
- advanced materials
