World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
70
Citations
20299
World Ranking
276
National Ranking
152

Research.com Recognitions

  • 2017 - Fellow of the American Academy of Arts and Sciences
  • 2014 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to nonlinear partial differential equations, calculus of variations, phase transformations, and composite materials.
  • 2005 - Fellow of the American Statistical Association (ASA)

Overview

Robert V. Kohn is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily focuses on the field of Engineering, with a particular interest in the subfields of Management Science and Operations Research, Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Materials Chemistry, and Mechanics of Materials.

The topics explored within their work include Nonlinear Photonic Systems, Advanced Bandit Algorithms Research, Game Theory and Applications, Data Stream Mining Techniques, Shape Memory Alloy Transformations, Composite Material Mechanics, and Topology Optimization in Engineering.

Frequent coauthors collaborating with Robert V. Kohn are Xuenan Li, Raghavendra Venkatraman, Nadejda Drenska, Sergio Conti, and Oleksandr Misiats.

Notable recent publications by Robert V. Kohn include:

  • Some results on the Guest-Hutchinson modes and periodic mechanisms of the Kagome lattice metamaterial, 2023, Journal of the Mechanics and Physics of Solids
  • Crystal Growth Inhibition by Mobile Randomly Distributed Stoppers, 2020, Crystal Growth & Design
  • A PDE Approach to the Prediction of a Binary Sequence with Advice from Two History-Dependent Experts, 2022, Communications on Pure and Applied Mathematics
  • Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection, 2022, Mathematical Models and Methods in Applied Sciences
  • Some results on the Guest-Hutchinson modes and periodic mechanisms of the Kagome lattice metamaterial, 2022, arXiv (Cornell University)

The most frequent publication venues in which Robert V. Kohn's work appears are arXiv (Cornell University), Communications on Pure and Applied Mathematics, Journal of Elasticity, Journal of the Mechanics and Physics of Solids, and Crystal Growth & Design.

Throughout their career, Robert V. Kohn has received several recognitions, including:

  • Fellow of the American Academy of Arts and Sciences, 2017
  • Steele Prize for Seminal Contribution to Research, 2014
  • Fellow of the American Mathematical Society, 2013
  • SIAM Fellow, 2009, for contributions to nonlinear partial differential equations, calculus of variations, phase transformations, and composite materials
  • Fellow of the American Statistical Association (ASA), 2005

Best Publications

  • Partial regularity of suitable weak solutions of the navier‐stokes equations

    L. Caffarelli;R. Kohn;L. Nirenberg

  • First order interpolation inequalities with weights

    L. Caffarelli;R. Kohn;L. Nirenberg

  • Optimal design and relaxation of variational problems, III

    Robert V. Kohn;Gilbert Strang

  • Asymptotically self‐similar blow‐up of semilinear heat equations

    Yoshikazu Giga;Robert V. Kohn

  • Determining conductivity by boundary measurements

    Robert Kohn;Michael Vogelius

  • Determining conductivity by boundary measurements II. Interior results

    R. V. Kohn;M. Vogelius

  • Characterizing Blow-up Using Similarity Variables

    Yoshikazu Giga;Robert V. Kohn

  • Local minimisers and singular perturbations

    Robert V. Kohn;Peter Sternberg

  • The relaxation of a double-well energy

    R. V. Kohn

  • Nondegeneracy of blowup for semilinear heat equations

    Yoshikazu Giga;Robert V. Kohn

  • A new model for thin plates with rapidly varying thickness

    Robert V. Kohn;Michael Vogelius

  • Variational bounds on the effective moduli of anisotropic composites

    Graeme W. Milton;Robert V. Kohn

  • Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics

    Lia Bronsard;Robert V Kohn

  • Optimal design for minimum weight and compliance in plane stress using extremal microstructures

    G. Allaire;R. V. Kohn

  • Topics in the Mathematical Modelling of Composite Materials

    Unknown

  • Symmetry, texture and the recoverable strain of shape-memory polycrystals

    K. Bhattacharya;R. V. Kohn

  • Surface energy and microstructure in coherent phase transitions

    Robert V. Kohn;Stefan Müller

  • Relaxation of a variational method for impedance computed tomography

    Robert V. Kohn;Michael Vogelius

  • Branching of twins near an austenite—twinned-martensite interface

    Robert V. Kohn;Stefan Müller

  • Local minimizers and singular perturbations

    Robert Kohn;P Sternberg

  • Cloaking via change of variables in electric impedance tomography

    R. V. Kohn;H. Shen;Michael Vogelius;M. I. Weinstein

Frequent Co-Authors

Felix Otto
Felix Otto Max Planck Institute for Mathematics in the Sciences
Michael Vogelius
Michael Vogelius Rutgers, The State University of New Jersey
Kaushik Bhattacharya
Kaushik Bhattacharya California Institute of Technology
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Michael I. Weinstein
Michael I. Weinstein Columbia University
Sylvia Serfaty
Sylvia Serfaty Courant Institute of Mathematical Sciences
Grégoire Allaire
Grégoire Allaire École Polytechnique
Eric Vanden-Eijnden
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences
Graeme W. Milton
Graeme W. Milton University of Utah

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