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Mathematics

D-Index
37
Citations
5750
World Ranking
2502
National Ranking
1042

Overview

Meir Shillor is affiliated with Oakland University in the United States and conducts research primarily in the fields of Engineering and Computer Science. Their work spans several subfields, notably Mechanics of Materials, Computational Theory and Mathematics, and Control and Systems Engineering, with additional contributions to Public Health, Environmental and Occupational Health, and Modeling and Simulation.

The research topics covered by Shillor include:

  • Contact Mechanics and Variational Inequalities
  • Mechanical stress and fatigue analysis
  • Adhesion, Friction, and Surface Interactions
  • Dynamics and Control of Mechanical Systems
  • Composite Structure Analysis and Optimization
  • Numerical methods in engineering
  • Mathematical and Theoretical Epidemiology and Ecology Models

Shillor has contributed to a diverse range of peer-reviewed publications. Some recent papers authored or co-authored by Shillor include:

  • "Damped Normal Compliance (DNC) and the restitution coefficient", 2024, Mathematics and Mechanics of Solids
  • "An extended 2D Gao beam model", 2023, Meccanica
  • "Models of dynamic contact of a 2D thermoelastic bar", 2020, Journal of Theoretical and Applied Mechanics/Mechanika Teoretyczna i Stosowana

Other relevant publications in the broader network of their work, although not directly authored by Shillor, include:

  • "Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints", 2020, Technologies
  • "A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions", 2020, Proceedings of the Royal Society of Edinburgh Section A Mathematics

Frequent co-authors in Shillor's research collaborations include:

  • Bartłomiej Dyniewicz
  • Czesław I. Bajer
  • Κ. L. Kuttler
  • Jeongho Ahn
  • J. M. Moore

The venues where Shillor has published multiple works include:

  • Meccanica
  • Nonlinear Analysis Real World Applications
  • SSRN Electronic Journal
  • BIOMATH
  • Axioms

Best Publications

  • Models and analysis of quasistatic contact

    Meir Shillor;Mircea Sofonea;Józef Joachim Telega

  • Analysis and Approximation of Contact Problems with Adhesion or Damage

    Mircea Sofonea;Weimin Han;Meir Shillor

  • FRICTIONAL CONTACT PROBLEMS WITH NORMAL COMPLIANCE

    A. Klarbring;A. Mikelić;M. Shillor

  • Quasistatic Viscoelastic Contact with Normal Compliance and Friction

    M. Rochdi;M. Shillor;M. Sofonea

  • Stationary Solutions to the Thermistor Problem

    S.D. Howison;J.F. Rodrigues;M. Shillor

  • On friction problems with normal compliance

    A. Klarbring;A. Mikelic;M. Shillor

  • Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion

    O. Chau;J. R. Fernández;M. Shillor;M. Sofonea

  • Dynamic frictionless contact with adhesion

    O. Chau;M. Shillor;M. Sofonea

  • Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage

    Weimin Han;Meir Shillor;Mircea Sofonea

  • SET-VALUED PSEUDOMONOTONE MAPS AND DEGENERATE EVOLUTION INCLUSIONS

    Kenneth L. Kuttler;Meir Shillor

  • Numerical analysis and simulations of a dynamic frictionless contact problem with damage

    M. Campo;J.R. Fernández;K.L. Kuttler;M. Shillor

  • A dynamic thermoviscoelastic contact problem with friction and wear

    Kevin T. Andrews;M. Shillor;S. Wright;A. Klarbring

  • A Global Existence Result for the Quasistatic Frictional Contact Problem with Normal Compliance

    A. Klarbring;A. Mikelić;M. Shillor

  • Second Order Evolution Equations With Dynamic Boundary Conditions

    Kevin T. Andrews;K.L. Kuttler;M. Shillor

  • Dynamically consistent nonstandard finite difference schemes for epidemiological models

    R. Anguelov;Y. Dumont;J.M.-S. Lubuma;M. Shillor

  • A quasistatic viscoelastic contact problem with friction

    Meir Shillor;Mircea Sofonea

  • Thermoelastic contact with Barber's heat exchange condition

    Kevin T. Andrews;Peter Shi;Meir Shillor;Steve Wright

  • On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle

    K. T. Andrews;K. L. Kuttler;M. Shillor

  • Existence and Uniqueness of Solutions for a Dynamic One-Dimensional Damage Model

    Michel Frémond;Kenneth L. Kuttler;Meir Shillor

  • Dynamic bilateral contact with discontinuous friction coefficient

    Kenneth L. Kuttler;Meir Shillor

Frequent Co-Authors

Mircea Sofonea
Mircea Sofonea University of Perpignan
Weimin Han
Weimin Han University of Iowa
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Stanisław Migórski
Stanisław Migórski Jagiellonian University
Charles M. Elliott
Charles M. Elliott University of Warwick
Sam Howison
Sam Howison University of Oxford

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