2026 David Kinderlehrer: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2412	2142	1011	845	130	14840

Research.com Recognitions

2016 - Fellow of the American Association for the Advancement of Science (AAAS)
2013 - SIAM Fellow For contributions to nonlinear partial differential equations, the calculus of variations, and mathematical aspects of materials science.
2013 - Fellow of the American Mathematical Society

Overview

David Kinderlehrer is affiliated with Carnegie Mellon University in the United States, specializing in research at the intersection of materials science and engineering. Their work spans multiple fields and subfields related to the structural and mechanical properties of materials.

The primary fields of study in Kinderlehrer's research include:

Materials Science
Engineering

The subfields reflecting their research focus are:

Materials Chemistry
Mechanics of Materials
Mechanical Engineering
Computational Theory and Mathematics
Condensed Matter Physics

Kinderlehrer's research topics cover several interconnected areas, including:

Microstructure and mechanical properties
Metallurgy and Material Forming
Solidification and crystal growth phenomena
Microstructure and Mechanical Properties of Steels
Advanced Mathematical Modeling in Engineering
Theoretical and Computational Physics

Their publication record includes recent papers such as:

"Comparison of simulated and measured grain volume changes during grain growth," 2022, Physical Review Materials
"Impact of grain boundary energy anisotropy on grain growth," 2024, Physical Review Materials
"Louis Nirenberg (1925-2020)," 2021, Notices of the American Mathematical Society
"Microstructural evolution in 3D: An existence result," 2025, Nonlinear Analysis

Frequent coauthors collaborating with Kinderlehrer include:

S. Kiana Naghibzadeh
Robert M. Suter
Kaushik Dayal
Gregory S. Rohrer
Yanyan Li

The venues where Kinderlehrer has frequently published are:

Physical Review Materials
Notices of the American Mathematical Society
Nonlinear Analysis

Kinderlehrer has been recognized by various professional organizations. Notable awards include:

Fellow of the American Association for the Advancement of Science (AAAS), 2016
SIAM Fellow, 2013, for contributions to nonlinear partial differential equations, the calculus of variations, and mathematical aspects of materials science
Fellow of the American Mathematical Society, 2013

Best Publications

An introduction to variational inequalities and their applications

David Kinderlehrer;Guido Stampacchia

7000
Citations
The variational formulation of the Fokker-Planck equation

Richard Jordan;David Kinderlehrer;Felix Otto

2455
Citations
Existence and partial regularity of static liquid crystal configurations

Robert Hardt;David Kinderlehrer;Fang Hua Lin

397
Citations
Regularity in free boundary problems

D. Kinderlehrer;L. Nirenberg

372
Citations
Equilibrium configurations of crystals

Michel Chipot;David Kinderlehrer

368
Citations
Characterizations of young measures generated by gradients

Unknown

322
Citations
Gradient Young measures generated by sequences in Sobolev spaces

Unknown

259
Citations
Homogenization and effective moduli of materials and media

J. L. Ericksen;David Kinderlehrer;Robert Kohn;J.-L. Lions

222
Citations
Theory of magnetostriction with applications to TbxDy1-xFe2

Richard D. James;David Kinderlehrer

198
Citations
Regularity in elliptic free boundary problems I

D. Kinderlehrer;D. Kinderlehrer;L. Nirenberg;L. Nirenberg;J. Spruck;J. Spruck

169
Citations
Weak convergence of integrands and the young measure representation

David Kinderlehrer;Pablo Pedregal

148
Citations
Stable defects of minimizers of constrained variational principles

R. Hardt;D. Kinderlehrer;Fang-Hua Lin

127
Citations
Numerical approximation of the solution of variational problem with a double well potential

Charles Collins;David Kinderlehrer;Mitchell Luskin

123
Citations
The smoothness of the free boundary in the one phase stefan problem

David Kinderlehrer;Louis Nirenberg

109
Citations
Free energy and the Fokker-Planck equation

Richard Jordan;David Kinderlehrer;Felix Otto

104
Citations
EVOLUTION OF GRAIN BOUNDARIES

David Kinderlehrer;Chun Liu

95
Citations
Extracting Grain Boundary and Surface Energy from Measurement of Triple Junction Geometry

B. L. Adams;S. Ta'Asan;D. Kinderlehrer;I. Livshits

95
Citations
Smoothness of Linear Laminates

Michel Chipot;Michel Chipot;David Kinderlehrer;David Kinderlehrer;Giorgio Vergara Caffarelli;Giorgio Vergara Caffarelli

94
Citations
Mathematical Questions of Liquid Crystal Theory

Robert Hardt;David Kinderlehrer

89
Citations
A Variational Approach to Modeling and Simulation of Grain Growth

David Kinderlehrer;Irene Livshits;Shlomo Ta’asan

76
Citations
Approximation of Parabolic Equations Using the Wasserstein Metric

David Kinderlehrer;Noel J. Walkington

72
Citations
Analyticity at the boundary of solutions of nonlinear second‐order parabolic equations

David Kinderlehrer;Louis Nirenberg

70
Citations

Frequent Co-Authors

Katayun Barmak Columbia University

Robert Hardt Rice University

Anthony D. Rollett Carnegie Mellon University

Michel Chipot University of Zurich

Gregory S. Rohrer Carnegie Mellon University

Brent L. Adams Brigham Young University

Felix Otto Max Planck Institute for Mathematics in the Sciences

Louis Nirenberg Courant Institute of Mathematical Sciences

Richard D. James University of Minnesota

Joel Spruck Johns Hopkins University

External Links

Wikipedia of David Kinderlehrer Personal website of David Kinderlehrer

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