MS360 - Recent Progress on Interface Problems: Multiscale Modeling, Numerics and Analysis
Keywords: Crystal Defects, Multi-phase Flows, Multiscale Modeling, Numerical Analysis, Biological and Soft Matters, Interface Problem
Interface problems play a fundamental role in a wide range of scientific and engineering fields, including materials science, fluid dynamics, and solid mechanics. They govern critical phenomena such as phase separation, wetting and dewetting of thin films, morphological evolution, defect dynamics, and the mechanics of biological and soft matter systems. In recent years, remarkable advances have been achieved in multiscale modelling, numerical methods, and theoretical analysis for these problems, enabling deeper understanding and predictive capability.
This minisymposium aims to bring together experts from diverse fields of mathematics, physics, engineering, and artificial intelligence to collaboratively explore innovative solutions for multiphysics and multiscale interface problems, promoting deep integration and synergistic development across interdisciplinary domains. Focusing on core challenges such as the high computational costs of traditional methods and difficulties in cross-scale modeling, the symposium is dedicated to facilitating in-depth discussion on innovative methodologies on modeling and numerics, breaking through the technical bottlenecks of conventional approaches, and providing solid theoretical foundations and technical support for applications in physics, engineering, biology, and related fields.
The symposium centers on cutting-edge challenges in multiscale modeling, numerical simulation and analysis for complex interface problems. The topics of discussion include, but are not limited to:
1. Computable modeling for multiphysics and multiscale interface problems;
2. Advanced paradigms for numerical methods and algorithms;
3. Interdisciplinary applications and practices.
