PDEs and Variational Problems in Physical and Biological Sciences
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Changfeng Gui
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University of Macau
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Peoples Rep of China
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Yang Wen
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University of Macau
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Peoples Rep of China
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Yeyao Hu
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Central South University
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Peoples Rep of China
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Introduction:
| | Phenomena such as phase transitions and phase separation are ubiquitous across physics and biology, driving critical processes like superconductivity, population dynamics, and material self-assembly. Fundamental PDE and variational models—including the Allen-Cahn equation, Schrödinger-type systems, and geometric variational problems—serve as indispensable frameworks for capturing universal behaviors in these fields. Their mathematical structure offers profound insights into quantum mechanics, pattern formation, and interface dynamics. This special session showcases recent advances in analytical techniques and computational methods, emphasizing their dual role: resolving theoretical challenges while enabling predictive modeling for complex systems.
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