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D-Index & Metrics

Mathematics

D-Index
30
Citations
4790
World Ranking
3467
National Ranking
1351

Overview

Peter Sternberg is affiliated with Indiana University in the United States and has a research focus spanning mathematics and engineering. Their work primarily emphasizes applied mathematics and mechanical engineering, with notable contributions to electronic, optical, and magnetic materials.

The main fields of study covered by their publications include:

  • Mathematics
  • Engineering

Within these domains, Sternberg's work is further categorized into subfields such as:

  • Applied Mathematics
  • Mechanical Engineering
  • Electronic, Optical and Magnetic Materials
  • Mathematical Physics
  • Condensed Matter Physics

The scientist's research topics reflect a strong interest in the physical and mathematical properties of materials and systems. Key topics of their work are:

  • Liquid Crystal Research Advancements
  • Advanced Materials and Mechanics
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Modeling in Engineering
  • Micro and Nano Robotics
  • Nonlinear Partial Differential Equations
  • Theoretical and Computational Physics

Peter Sternberg's publication record includes papers published across reputable venues such as arXiv, Science Advances, Physical Review Research, Communications on Pure and Applied Mathematics, and the Archive for Rational Mechanics and Analysis. Notable recent papers include:

  • "Topological transformations of a nematic drop," 2023, Science Advances
  • "Conic sections in ferroelectric nematics: Experiments and mathematical modeling," 2024, Physical Review Research
  • "Allen-Cahn solutions with triple junction structure at infinity," 2024, Communications on Pure and Applied Mathematics
  • "A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants," 2020, Archive for Rational Mechanics and Analysis
  • "Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic," 2023, Journal of the European Mathematical Society

Frequent coauthors contributing to Sternberg's body of work include:

  • Dmitry Golovaty
  • Oleg D. Lavrentovich
  • Étienne Sandier
  • Michael Novack
  • Runa Koizumi

Sternberg's research output shows consistent contributions to theoretical and applied understanding in the interaction between mathematics and physics, particularly in the study of liquid crystals, geometric phenomena, and mechanical behavior of advanced materials. The scientist's frequent presence in venues such as arXiv and Archive for Rational Mechanics and Analysis reflects ongoing engagement with both foundational mathematical theories and their engineering applications.

Best Publications

  • Local minimisers and singular perturbations

    Robert V. Kohn;Peter Sternberg

  • The effect of a singular perturbation on nonconvex variational problems

    Unknown

  • Fast reaction, slow diffusion, and curve shortening

    Jacob Rubinstein;Peter Sternberg;Joseph B. Keller

  • Nonlocal reaction−diffusion equations and nucleation

    Jacob Rubinstein;Peter Sternberg

  • Local minimizers and singular perturbations

    Robert Kohn;P Sternberg

  • Symmetry of solitary waves

    Walter Craig;Peter Sternberg

  • Onset of superconductivity in decreasing fields for general domains

    Andrew J. Bernoff;Peter Sternberg

  • Connectivity of Phase Boundaries in Strictly Convex Domains

    Peter Sternberg;Kevin Zumbrun

  • Existence, uniqueness, and regularity for functions of least gradient

    P. Sternberg;G. Williams;W. P. Ziemer

  • Boundary Concentration for Eigenvalue Problems Related to the Onset of Superconductivity

    Manuel del Pino;Patricio L. Felmer;Peter Sternberg

  • A POINCARE INEQUALITY WITH APPLICATIONS TO VOLUME-CONSTRAINED AREA-MINIMIZING SURFACES

    Kevin Zumbrun;Peter Sternberg

  • On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint

    Peter Sternberg;Kevin Zumbrun

  • Minimizers and Gradient Flows for Singularly Perturbed Bi-Stable Potentials with a Dirichlet Condition

    Nicholas C. Owen;J Rubinstein;Peter Sternberg

  • On the first and second variations of a nonlocal isoperimetric problem

    Rustum Choksi;Peter Sternberg

  • Energy estimates for the von Kármán model of thin-film blistering

    Weimin Jin;Peter Sternberg

  • Reaction-diffusion processes and evolution to harmonic maps

    Jacob Rubinstein;Peter Sternberg;Joseph B. Keller

  • Generalized Motion by Curvature with a Dirichlet Condition

    P. Sternberg;W.P. Ziemer

  • Dimension Reduction for the Landau-de Gennes Model in Planar Nematic Thin Films

    Dmitry Golovaty;José Alberto Montero;Peter Sternberg

  • Homotopy Classification of Minimizers of the Ginzburg-Landau Energy and the Existence of Permanent Currents

    Jacob Rubinstein;Peter Sternberg

  • On the global minimizers of a nonlocal isoperimetric problem in two dimensions

    Peter Sternberg;Ihsan Topaloglu

  • Cascade of Minimizers for a Nonlocal Isoperimetric Problem in Thin Domains

    Massimiliano Morini;Peter Sternberg

Frequent Co-Authors

Kevin Zumbrun
Kevin Zumbrun Indiana University
Oleg D. Lavrentovich
Oleg D. Lavrentovich Kent State University
José A. Carrillo
José A. Carrillo University of Oxford
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Manuel del Pino
Manuel del Pino University of Bath
Patricio Felmer
Patricio Felmer University of Chile

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