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Mathematics

D-Index
54
Citations
21236
World Ranking
814
National Ranking
62

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

John M. Ball is affiliated with the University of Oxford in the United Kingdom. Their research spans multiple fields including Engineering and Computer Science, with significant contributions in subfields such as Mathematical Physics, Computational Mechanics, Computational Theory and Mathematics, Computer Vision and Pattern Recognition, and Biophysics.

The scientist's work addresses various topics related to mathematical and computational methods. Key areas of focus include Fluid Dynamics and Thin Films, Advanced Numerical Analysis Techniques, Medical Image Segmentation Techniques, Cell Image Analysis Techniques, Stability and Controllability of Differential Equations, Advanced Mathematical Physics Problems, and Advanced Mathematical Modeling in Engineering.

John M. Ball has published scholarly articles in several venues, notably:

  • arXiv (Cornell University)
  • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • Liquid Crystals
  • Journal of Elasticity
  • Quarterly of Applied Mathematics

Recent publications include:

  • "Axisymmetry of critical points for the Onsager functional", 2021, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • "A free discontinuity model for smectic thin films", 2023, Liquid Crystals
  • "A free discontinuity model for smectic thin films", 2022, arXiv (Cornell University)
  • "Slip and twinning in Bravais lattices", 2023, arXiv (Cornell University)
  • "Image comparison and scaling via nonlinear elasticity", 2023, arXiv (Cornell University)

Frequent collaborators include Christopher L. Horner, Giacomo Canevari, and Bianca Stroffolini.

John M. Ball was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Convexity conditions and existence theorems in nonlinear elasticity

    John M. Ball

  • Fine phase mixtures as minimizers of energy

    J. M. Ball;J. M. Ball;Richard D James;Richard D James

  • Proposed experimental tests of a theory of fine microstructure and the two-well problem

    J. M. Ball;R. D. James

  • Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity

    John Macleod Ball

  • A version of the fundamental theorem for young measures

    J. M. Ball

  • GEOMETRIC THEORY OF SEMILINEAR PARABOLIC EQUATIONS (Lecture Notes in Mathematics, 840)

    Unknown

  • REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

    J. M. Ball

  • W1,p-quasiconvexity and variational problems for multiple integrals

    J.M Ball;F Murat

  • GLOBAL ATTRACTORS FOR DAMPED SEMILINEAR WAVE EQUATIONS

    John M. Ball

  • Strongly continuous semigroups, weak solutions, and the variation of constants formula

    J. M. Ball

  • Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations

    J. M. Ball

  • Some Open Problems in Elasticity

    John M. Ball

  • Initial-boundary value problems for an extensible beam

    J.M Ball

  • Null Lagrangians, weak continuity, and variational problems of arbitrary order

    J.M Ball;J.C Currie;P.J Olver

  • Global invertibility of Sobolev functions and the interpenetration of matter

    J. M. Ball

  • Controllability for Distributed Bilinear Systems

    J. M. Ball;J. E. Marsden;M. Slemrod

  • The Becker-Döring cluster equations: basic properties and asymptotic behaviour of solutions

    J. M. Ball;J. Carr;O. Penrose

  • THE DISCRETE COAGULATION-FRAGMENTATION EQUATIONS : EXISTENCE, UNIQUENESS, AND DENSITY CONSERVATION

    J. M. Ball;J. Carr

  • Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations

    Unknown

  • Nematic Liquid Crystals: From Maier-Saupe to a Continuum Theory

    John M. Ball;Apala Majumdar

  • One-dimensional Variational Problems whose Minimizers do not Satisfy the Euler-Lagrange Equation

    J. M. Ball;V. J. Mizel

  • Stability Theory for an Extensible Beam

    J.M. Ball

  • VARIATIONAL INEQUALITIES AND COMPLEMENTARITY PROBLEMS

    J. M. Ball

Frequent Co-Authors

Richard D. James
Richard D. James University of Minnesota
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Dominique Schryvers
Dominique Schryvers University of Antwerp
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Marshall Slemrod
Marshall Slemrod University of Wisconsin–Madison
David Kinderlehrer
David Kinderlehrer Carnegie Mellon University
Nicola Fusco
Nicola Fusco University of Naples Federico II
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Oliver Penrose
Oliver Penrose Heriot-Watt University

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