معرفی
Zhiyuan Geng is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on advanced mathematical analysis, particularly in liquid crystals, partial differential equations, geometric variational problems, and materials science. Contact details include his email: geng42@purdue.edu, and office location MATH 409.
Research interests span the following key areas:
- Liquid crystal defect dynamics and stability
- Phase transitions modeled via Allen-Cahn systems
- Free boundary problems in materials systems
- Triple junction configurations and surface tension effects
- Asymptotic analysis of interfaces and self-similar solutions
- Mathematical modeling of colloidal interactions in nematic phases
Recent publications (2021–2025) emphasize theoretical breakthroughs in understanding complex material systems through PDE analysis and geometric variational principles. His work addresses critical phenomena like eigenframe discontinuities in Q-tensor models, rigidity properties of triple junction solutions, and stability of free boundary flows. These studies highlight interdisciplinary approaches combining pure mathematics with applications in soft condensed matter physics.
No scientific awards or grants are explicitly listed in the provided information. He does not currently have documented advisees or students.
Laboratory affiliations or collaborative research teams are not indicated in the texts provided.
