Changhui Tan
Papers
2
Total Citations
5
H-Index
2
About
Changhui Tan is a mathematician whose research lies at the intersection of partial differential equations (PDEs) and mathematical physics, with a particular focus on nonlocal and nonlinear systems. His major contributions include the rigorous analysis of a nonlocal PDE that models the dynamics of polynomial roots under differentiation—a problem with classical roots tracing back to Marcel Riesz. In his 2020 paper, Tan formalized and studied a PDE originally derived by Stefan Steinerberger, uncovering its critical structure and striking resemblance to other important equations in fluid dynamics. His 2022 follow-up, which has garnered 3 citations, further advanced the global regularity theory for this model, establishing foundational results for a novel class of nonlocal equations. Though his citation counts are modest, Tan’s work is notable for bridging pure analysis with applied problems, offering new tools for understanding how zeros of polynomials evolve—a problem with implications in approximation theory and spectral analysis. His research exemplifies how modern PDE theory can illuminate classical mathematical questions, making him a rising voice in the field.
Research Focus
Key Achievements
Top Papers
- 1
- 2The Flow of Polynomial Roots Under Differentiation2 citations · 2020