Free Boundary Problems: The Forefront of Current and Future Developments
Gui-Qiang Chen, Henrik Shahgholian, Juan-Luis Vazquez

TL;DR
This collection of 14 survey articles provides a comprehensive overview of recent and upcoming developments in free boundary problems, highlighting their significance across physics, mathematics, and engineering.
Contribution
It compiles and reviews current research trends and future directions in free boundary problems, serving as a foundational resource for researchers.
Findings
Summarizes key advances in free boundary problem theory
Identifies open challenges and future research directions
Highlights interdisciplinary applications of free boundary problems
Abstract
This is an introduction to The Theme Issue on "Free Boundary Problems and Related Topics", which consists of 14 survey/review articles on the topics, of Philosophical Transactions of the Royal Society A: Physical, Mathematical and Engineering Sciences, 373, no. 2050, The Royal Society, 2015.
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