John M. Ball

Q: What Schools Are Affiliated With John M. Ball

John M. Ball is affiliated with the following schools: University of Sussex, University of Oxford, University of Edinburgh, Heriot-Watt University, University of Cambridge

John M. Ball's AcademicInfluence.com Rankings

John M. Ball

Mathematics

#682

World Rank

#1249

Historical Rank

Measure Theory

#400

World Rank

#583

Historical Rank

mathematics Degrees

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Mathematics

Why Is John M. Ball Influential?

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According to Wikipedia, Sir John Macleod Ball is a British mathematician and former Sedleian Professor of Natural Philosophy at the University of Oxford. He was the president of the International Mathematical Union from 2003 to 2006 and a Fellow of Queen's College, Oxford.

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John M. Ball's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Convexity conditions and existence theorems in nonlinear elasticity (1976) (2309)
Fine phase mixtures as minimizers of energy (1987) (1516)
GEOMETRIC THEORY OF SEMILINEAR PARABOLIC EQUATIONS (Lecture Notes in Mathematics, 840) (1982) (848)
Proposed experimental tests of a theory of fine microstructure and the two-well problem (1992) (709)
A version of the fundamental theorem for young measures (1989) (677)
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity (1982) (654)
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS (1977) (505)
W1,p-quasiconvexity and variational problems for multiple integrals (1984) (486)
GLOBAL ATTRACTORS FOR DAMPED SEMILINEAR WAVE EQUATIONS (2003) (413)
Some Open Problems in Elasticity (2002) (347)
Global invertibility of Sobolev functions and the interpenetration of matter (1981) (322)
Weak continuity and variational problems of arbitrary order (1981) (310)
Strongly continuous semigroups, weak solutions, and the variation of constants formula (1977) (277)
Initial-boundary value problems for an extensible beam (1973) (261)
Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations (1997) (257)
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions (1986) (254)
OPTIMIZATION—THEORY AND APPLICATIONS Problems with Ordinary Differential Equations (Applications of Mathematics, 17) (1984) (241)
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation (1985) (216)
Controllability for Distributed Bilinear Systems (1982) (191)
Stability Theory for an Extensible Beam (1973) (189)
Nematic Liquid Crystals: From Maier-Saupe to a Continuum Theory (2010) (182)
Orientability and Energy Minimization in Liquid Crystal Models (2010) (173)
Erratum to: Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations (1997) (171)
Differentiability properties of symmetric and isotropic functions (1984) (170)
Feedback stabilization of distributed semilinear control systems (1979) (162)
Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity (1982) (156)
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations (1978) (156)
Quasiconvexity at the boundary, positivity of the second variation and elastic stability (1984) (155)
Remarks on Chacon’s biting lemma (1989) (131)
The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservation (1990) (127)
Regularity of quasiconvex envelopes (2000) (111)
On the dynamics of fine structure (1991) (110)
GENERALIZED SOLUTIONS OF HAMILTON-JACOBI EQUATIONS (Research Notes in Mathematics, 69) (1983) (102)
ASYMPTOTIC BEHAVIOUR OF DISSIPATIVE SYSTEMS (Mathematical Surveys and Monographs 25) (1990) (97)
Nonharmonic fourier series and the stabilization of distributed semi‐linear control systems (1979) (77)
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data (1988) (72)
Finite Time Blow-Up in Nonlinear Problems (1978) (71)
Strict convexity, strong ellipticity, and regularity in the calculus of variations (1980) (71)
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions (1983) (70)
W^ quasiconvexity and variational problems for multiples integrals (1984) (70)
Hysteresis During Stress-Induced Variant Rearrangement (1995) (67)
Material Instabilities in Continuum Mechanics, and Related Mathematical Problems (1990) (65)
MINIMIZERS AND THE EULER-LAGRANGE EQUATIONS. (1984) (64)
Lower semicontinuity of multiple integrals and the Biting Lemma (1990) (59)
Singular minimizers for regular one-dimensional problems in the calculus of variations (1984) (58)
A numerical method for detecting singular minimizers (1987) (56)
Nano-structures at martensite macrotwin interfaces in Ni65Al35 (2003) (54)
Progress and puzzles in nonlinear elasticity (2010) (51)
Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula (1977) (49)
Saddle Point Analysis for an Ordinary Differential Equation in a Banach Space, and an Application to Dynamic Buckling of a Beam (1973) (49)
Sets of gradients with no rank-one connections (1990) (49)
Foundations of Computational Mathematics: Singularities and computation of minimizers for variational problems (2001) (49)
Mathematical models of martensitic microstructure (2004) (45)
The calculus of variations and materials science (1998) (45)
Systems of nonlinear partial differential equations (1983) (44)
Fundamental contributions to the continuum theory of evolving phase interfaces in solids : a collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday (1999) (40)
ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS (2012) (38)
Compatibility conditions for microstructures and the austenite-martensite transition (1999) (35)
REMARKS ON THE PAPER: "BASIC CALCULUS OF VARIATIONS" (1985) (35)
A VARIATIONAL MODEL ALLOWING BOTH SMOOTH AND SHARP PHASE BOUNDARIES IN SOLIDS (2008) (34)
Local minimizers and planar interfaces in a phase-transition model with interfacial energy (2011) (33)
Does Rank-One Convexity Imply Quasiconvexity? (1987) (30)
Nucleation of austenite in mechanically stabilized martensite by localized heating (2013) (27)
Discontinuous Order Parameters in Liquid Crystal Theories (2014) (26)
Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals (2008) (26)
On the calculus of variations and sequentially weakly continuous maps (1976) (26)
The Scientific Life and Influence of¶Clifford Ambrose Truesdell III (2002) (25)
Orientable and non‐orientable director fields for liquid crystals (2007) (25)
Comparative measurements with a new procedure for measuring the blood oxygen tension in vitro. (1958) (25)
Partial regularity and smooth topology-preserving approximations of rough domains (2013) (23)
Existence of Solutions in Finite Elasticity (1981) (22)
Microstructures and interfaces in Ni-Al martensite: comparing HRTEM observations with continuum theories (2002) (22)
A characterization of plane strain (1991) (21)
Incompatible Sets of Gradients and Metastability (2014) (21)
Local minimizers in micromagnetics and related problems (2002) (20)
Universal singular sets for one-dimensional variational problems (1993) (20)
Nonclassical Austenite-Martensite Interfaces (1997) (19)
Continuity properties of nonlinear semigroups (1974) (19)
23.—Weak Continuity Properties of Mappings and Semigroups (1975) (19)
Decay to zero in critical cases of second order ordinary differential equations of Duffing type (1976) (18)
Liquid Crystals and Their Defects (2017) (18)
Stabilization of concentration profiles in catalyst particles (1976) (17)
Two examples in nonlinear elasticity (1978) (17)
Lattice deformations at martensite-martensite interfaces in Ni-Al (2001) (17)
The Judges in Ireland, 1221-1921 (1993) (16)
Quasiconvexity at the Boundary and the Nucleation of Austenite (2014) (14)
The analysis of macrotwins in NiAI martensite (2003) (14)
NONLINEAR DIFFERENTIAL EQUATIONS (Studies in Applied Mechanics, 2) (1982) (14)
Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions (1977) (13)
A probabilistic model for martensitic avalanches (2015) (13)
Entropy and convexity for nonlinear partial differential equations (2013) (12)
Lyapunov functions for thermomechanics with spatially varying boundary temperatures (1986) (12)
Dynamics and minimizing sequences (1990) (12)
Singular Minimizers and their Significance in Elasticity (1987) (11)
Measurability and continuity conditions for nonlinear evolutionary processes (1976) (10)
Mathematical Thermodynamics of Complex Fluids (2017) (10)
MATERIAL INSTABILITIES AND THE CALCULUS OF VARIATIONS (1984) (9)
Quasistatic Nonlinear Viscoelasticity and Gradient Flows (2014) (7)
An analysis of non-classical Austenite-Martensite interfaces in CuAlNi (2011) (7)
Coagulation-fragmentation dynamics (1987) (6)
SOME SIMPLE MATHEMATICAL MODELS FOR CRITICALITY PROBLEMS (1960) (6)
Axisymmetry of critical points for the Onsager functional (2020) (6)
An investigation of non-planar austenite–martensite interfaces (2013) (6)
Local minimizers and phase transformations (1996) (6)
The Social Sciences and Geographic Education: A Reader. (1971) (6)
The Formation of Macrotwins in NiAl Martensite (2002) (6)
Review of 'Nonlinear Problems of Elasticity, by Stuart S. Antman' (1996) (5)
Dynamic energy minimization and phase transformations in solids (1992) (5)
Geometry of polycrystals and microstructure (2015) (4)
Interaction of Martensitic Microstructures in Adjacent Grains (2017) (4)
Some recent developments in nonlinear elasticity and its applications to materials science, in Nonlinear Mathematics and its Applications, ed P.J. Aston (1996) (4)
Elastostatics in the presence of a temperature distribution or inhomogeneity (1992) (4)
ICIAM 99 : proceedings of the Fourth International Congress on Industrial and Applied Mathematics, Edinburgh (2000) (4)
WEAK CONVERGENCE THEOREMS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FIRST AND SECOND ORDER (1982) (3)
Book Review: Nonlinear problems of elasticity (1996) (3)
Material instabilities in continuum mechanics : related mathematical problems : the proceedings of a symposium year on material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986 (1988) (3)
Experiments In Teaching College Geography: A Report To The Profession (1972) (3)
Vector-Valued Partial Differential Equations and Applications (2017) (3)
IS GREEN HOUSING HEALTHY HOUSING? A QUESTION FOR SENIORS (2012) (2)
VARIATIONAL INEQUALITIES AND COMPLEMENTARITY PROBLEMS (1981) (2)
The Migration of People In Mexico (1967) (2)
Central Functions of Small Mexican Towns (2013) (2)
Introduction to Social Work, 2nd Ed., by Rex A. Skidmore and Milton G. Thackeray. Prentice-Hall, Englewood Cliffs, N.J., 1976. $11.95. 420 Pp. (1977) (2)
Controllability and stabilizability of distributed bilinear systems: Recent results and open problems (1980) (2)
Migration and the Local Economic Factor in Rural Mexico (1971) (2)
Nano-structures at martensite macrotwin interfaces in Ni 65 Al (2002) (1)
Quasiconvexity at the Boundary and the Nucleation of Austenite (2015) (1)
MEASURABILITY AND CONTINUITY CONDITIONS FOR NONLINEAR (2010) (1)
LETTERS - "DATA - Needs, Evaluation, and Dissemination" (1967) (1)
IMU (2022) (1)
ON THE CONJECTURE THAT STEINER SYMMETRIZATION REDUCES CRITICAL MASS (1955) (1)
Practical experiments and simulations for nuclear safeguards education (2007) (1)
Measurability and Continuity Conditions for Evolutionary Processes (1976) (1)
What Is to be Done for Ireland (2014) (1)
Not just a pretty equation (2006) (0)
A Reply to the Geography of International Trade (1982) (0)
2 NONLINEAR ELASTICITY MODEL 2 2 Nonlinear elasticity model (0)
New directions in differential equations and dynamical systems : a collection of papers dedicated to J.K. Hale on the occasion of his 60th birthday (1991) (0)
Computations of Asymptotic Scaling for the Kohn-M ¨ uller and Aviles-Giga Functionals (2010) (0)
Slip and twinning in Bravais lattices (2023) (0)
Image comparison and scaling via nonlinear elasticity (2023) (0)
Some Comments on Mexico's Population (1962) (0)
The Council at Work Call for Program Participants (1972) (0)
Remarks on the Q‐tensor Model for Equilibrium Liquid Crystal Configurations (2007) (0)
Local minimizers in Micromagnetics (2007) (0)
Round Table: The Use of Metrics in Evaluating Research (2011) (0)
Cash-strapped maths (2006) (0)
Geography and Education for Citizenship (1960) (0)
Automated system for measuring leak standards (1988) (0)
Development and implementation of MU's graduate certificate in nuclear safeguards science and technology (2006) (0)
Qualitative Methods in Nonlinear Mechanics (J. Tinsley Oden) (1988) (0)
A free discontinuity model for smectic thin films (2022) (0)
THE MULTI-GROUP ALBEDO METHOD (1961) (0)
A. Hanyga Mathematical theory of non-linear elasticity (Ellis Horwood, 1985), 432 pp. £39.5 (1986) (0)
Incompatible Sets of Gradients and Metastability (2015) (0)
Network aims to make maths count in Africa (2005) (0)
PDE and Materials (2006) (0)
UPPER AND LOWER BOUNDS FOR CRITICAL LAPLACIAN AND CRITICAL SIZE OF SOME FINITE ELLIPTICAL CYLINDERS (1957) (0)
The formation of microstructure in shape-memory alloys (2012) (0)

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What Schools Are Affiliated With John M. Ball?

John M. Ball is affiliated with the following schools:

John M. Ball's Academic­Influence.com Rankings