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Mathematics

D-Index
40
Citations
5879
World Ranking
2079
National Ranking
882

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to numerical analysis and applications to materials science.
  • 2014 - SIAM Fellow For contributions to multiscale numerical methods for materials with microstructure and defects and atomistic to continuum models.
  • 1989 - Fellow of Alfred P. Sloan Foundation

Overview

Mitchell Luskin is affiliated with the University of Minnesota in the United States. Their research primarily intersects the fields of Materials Science and Physics and Astronomy, with a substantial focus on subfields such as Materials Chemistry, Atomic and Molecular Physics and Optics, Biomedical Engineering, Electrical and Electronic Engineering, and Mechanics of Materials.

The scientist's main research topics include:

  • Graphene research and applications
  • Quantum and electron transport phenomena
  • 2D Materials and Applications
  • Topological Materials and Phenomena
  • Thermal properties of materials
  • Plasmonic and Surface Plasmon Research
  • Molecular Junctions and Nanostructures

Mitchell Luskin has published extensively in several venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Physical review. B./Physical review. B
  • Multiscale Modeling and Simulation
  • Physical Review Letters
  • Journal of Mathematical Physics

Some of the scientist's recent papers include:

  • "Twisted Trilayer Graphene: A Precisely Tunable Platform for Correlated Electrons," 2020, published in Physical Review Letters
  • "Correlated Insulating States and Transport Signature of Superconductivity in Twisted Trilayer Graphene Superlattices," 2021, published in Physical Review Letters
  • "Modeling mechanical relaxation in incommensurate trilayer van der Waals heterostructures," 2020, published in Physical Review B
  • "Mathematical aspects of the Kubo formula for electrical conductivity with dissipation," 2023, published in Japan Journal of Industrial and Applied Mathematics
  • "Topological nature of dislocation networks in two-dimensional moiré materials," 2023, published in Physical Review B

Frequent co-authors in Luskin's collaborations include Alexander B. Watson, Efthimios Kaxiras, Ziyan Zhu, Daniel Massatt, and Kenji Watanabe.

The scientist has received recognition in the form of awards such as:

  • Fellow of the American Mathematical Society (2015) for contributions to numerical analysis and applications to materials science
  • SIAM Fellow (2014) for contributions to multiscale numerical methods for materials with microstructure and defects, and atomistic to continuum models
  • Fellow of Alfred P. Sloan Foundation (1989)

Best Publications

  • Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle

    Stephen Carr;Daniel Massatt;Shiang Fang;Paul Cazeaux

  • Relaxation and domain formation in incommensurate two-dimensional heterostructures

    Stephen Carr;Daniel Massatt;Steven B. Torrisi;Paul Cazeaux

  • On the computation of crystalline microstructure

    Mitchell Luskin

  • Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

    Bernardo Cockburn;Mitchell Luskin;Chi-Wang Shu;Endre Süli

  • On the Smoothing Property of the Galerkin Method for Parabolic Equations

    Mitchell Luskin;Rolf Rannacher

  • On the smoothing property of the crank-nicolson scheme

    Mitchell Luskin;Rolf Rannacher;Wolfgang Wendland

  • A mathematical formalization of the parallel replica dynamics

    Claude Le Bris;Tony Lelièvre;Mitchell Luskin;Danny Perez

  • The computation of the austenitic-martensitic phase transition

    Charles Collins;Mitchell Luskin

  • Atomistic-to-continuum coupling

    Mitchell Barry Luskin;Christoph Ortner

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

    Charles Collins;David Kinderlehrer;Mitchell Luskin

  • Non-Ergodicity of the Nosé–Hoover Thermostatted Harmonic Oscillator

    Frédéric Legoll;Mitchell Luskin;Richard Moeckel

  • An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation

    Matthew Dobson;Mitchell Luskin

  • THE EXISTENCE OF A GLOBAL WEAK SOLUTION TO THE NON-LINEAR WATERHAMMER PROBLEM

    Mitchell Luskin;Blake Temple

  • Analysis of a force-based quasicontinuum approximation

    Matthew Dobson;Mitchell Luskin

  • Construction of inertial manifolds by elliptic regularization

    Eugene Fabes;Mitchell Luskin;George R Sell

  • Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem

    Charles Collins;Mitchell Luskin

  • A Galerkin Method for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

    Mitchell Luskin

  • Stability, Instability, and Error of the Force-based Quasicontinuum Approximation

    Matthew Dobson;Mitchell Barry Luskin;Christoph Ortner

  • Analysis of the finite element approximation of microstructure in micromagnetics

    Mitchell Luskin;Ling Ma

  • Analysis of a class of nonconforming finite elements for crystalline microstructures

    Peter Klouček;Bo Li;Mitchell Luskin

Frequent Co-Authors

Christoph Ortner
Christoph Ortner University of Warwick
Efthimios Kaxiras
Efthimios Kaxiras Harvard University
Tony Low
Tony Low University of Minnesota
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
Kenji Watanabe
Kenji Watanabe National Institute for Materials Science
Philip Kim
Philip Kim Harvard University
Gyu-Chul Yi
Gyu-Chul Yi Seoul National University
George R. Sell
George R. Sell University of Minnesota
Takashi Taniguchi
Takashi Taniguchi National Institute for Materials Science
Arthur F. Voter
Arthur F. Voter Los Alamos National Laboratory

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