World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
68
Citations
16920
World Ranking
314
National Ranking
175

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to partial differential equations, geometric measure theory, calculus of variations, and applied analysis.
  • 2004 - Fellow of the American Academy of Arts and Sciences

Overview

Fanghua Lin is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research centers primarily on the field of Mathematics, with a significant focus on Applied Mathematics. Additional subfields of study in their work include Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis, and Electronic, Optical and Magnetic Materials.

The main topics covered in Fanghua Lin's research encompass Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Geometric Analysis and Curvature Flows, Advanced Harmonic Analysis Research, Mathematical Dynamics and Fractals, Numerical methods in inverse problems, and Liquid Crystal Research Advancements.

Frequent publication venues for Fanghua Lin include:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • Science China Mathematics
  • Journal of the European Mathematical Society
  • Archive for Rational Mechanics and Analysis

Notable recent papers authored or co-authored by Fanghua Lin include:

  • Isotropic-Nematic Phase Transition and Liquid Crystal Droplets, 2022, Communications on Pure and Applied Mathematics
  • Boundary Harnack principle on nodal domains, 2022, Science China Mathematics
  • Upper bounds of nodal sets for eigenfunctions of eigenvalue problems, 2020, Mathematische Annalen

Other recent papers in closely related research where Fanghua Lin is a co-author or cited extensively include:

  • Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two, 2021, Communications on Pure and Applied Mathematics
  • Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem, 2023, Inventiones mathematicae

Frequent collaborators in Fanghua Lin's research circle include Zhongwei Shen, Kurt Friedrichs, Fritz John, J. J. Stoker, and Louis Nirenberg.

Fanghua Lin has been recognized by several prestigious institutions. They were named a Fellow of the American Mathematical Society in 2015 for contributions to partial differential equations, geometric measure theory, calculus of variations, and applied analysis. Additionally, they became a Fellow of the American Academy of Arts and Sciences in 2004.

Best Publications

  • Elliptic Partial Differential Equations

    Qing Han;Fanghua Lin

  • Nonparabolic dissipative systems modeling the flow of liquid crystals

    Fang‐Hua ‐H Lin;Chun Liu

  • A new proof of the Caffarelli‐Kohn‐Nirenberg theorem

    Fanghua Lin

  • On hydrodynamics of viscoelastic fluids

    Fang Hua Lin;Chun Liu;Ping Zhang

  • Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena

    Fang‐Hua ‐H Lin

  • Compactness methods in the theory of homogenization

    Marco Avellaneda;Fang‐Hua ‐H Lin

  • Mappings minimizing the Lp norm of the gradient

    Robert Hardt;Fang‐Hua ‐H Lin

  • Unique continuation for elliptic operators: A geometric‐variational approach

    Nicola Garofalo;Fang‐Hua ‐H Lin

  • Existence and partial regularity of static liquid crystal configurations

    Robert Hardt;David Kinderlehrer;Fang Hua Lin

  • Liquid crystal flows in two dimensions

    Fanghua Lin;Junyu Lin;Changyou Wang

  • Partial regularity of the dynamic system modeling the flow of liquid crystals

    Fang Hua Lin;Chun Liu

  • Existence of solutions for the Ericksen-Leslie system

    Fang Hua Lin;Chun Liu

  • Nodal sets of solutions of elliptic and parabolic equations

    Fang‐Hua ‐H Lin

  • Global small solutions of 2-D incompressible MHD system

    Fanghua Lin;Li Xu;Ping Zhang

  • Some Dynamical Properties of Ginzburg-Landau Vortices

    Fang Hua Lin

  • The analysis of harmonic maps and their heat flows

    Fanghua Lin;Changyou Wang

  • On the initial-boundary value problem of the incompressible viscoelastic fluid system

    Fanghua Lin;Ping Zhang

  • Global Small Solutions to an MHD-Type System: The Three-Dimensional Case

    Fanghua Lin;Fanghua Lin;Ping Zhang

  • Homogenization of elliptic systems with Neumann boundary conditions

    Carlos E. Kenig;Fanghua Lin;Zhongwei Shen

  • A uniqueness theorem for parabolic equations

    Fang Hua Lin

  • Geometric Measure Theory: An Introduction

    Fang-Hua Lin;Xiaoping Yang

Frequent Co-Authors

Robert Hardt
Robert Hardt Rice University
Changyou Wang
Changyou Wang Purdue University West Lafayette
Zhongwei Shen
Zhongwei Shen University of Kentucky
Chun Liu
Chun Liu Illinois Institute of Technology
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Marco Avellaneda
Marco Avellaneda Courant Institute of Mathematical Sciences
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Qiang Du
Qiang Du Columbia University

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