List of Publications

Journal Articles
  1. J.M. Ball. Initial-boundary value problems for an extensible beam. J. Math. Anal. Appl., 42:61--90, 1973. pdf file
  2. J.M. Ball. Stability theory for an extensible beam. J. Differential Eqns, 14:399--418, 1973. pdf file
  3. J.M. Ball. Weak continuity properties of mappings and semigroups. Proc. Royal Soc. Edinburgh, 72:275--280, 1973/74. pdf file
  4. J.M. Ball. Continuity properties of nonlinear semigroups. J. Functional Analysis, 17:91--102, 1974. pdf file
  5. J.M. Ball. Measurability and continuity conditions for nonlinear evolutionary processes. Proc. Amer. Math. Soc., 55:353--358, 1976. pdf file
  6. J.M. Ball and J. Carr. Decay to zero in critical cases of second order ordinary differential  equations of Duffing type. Arch. Rat. Mech. Anal., 63:47--57, 1976. pdf file
  7. J.M. Ball and L.A. Peletier. Stabilization of concentration profiles in catalyst particles. J. Differential Eqns, 20:356--368, 1976. pdf file
  8. J.M. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. Anal., 63:337--403, 1977. pdf file
  9. J.M. Ball. Strongly continuous semigroups, weak solutions, and the variation of constants formula. Proc. Amer. Math. Soc., 64:370--373, 1977. pdf file
  10. J.M. Ball. Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Quart. J. Math., 28:473--486, 1977. pdf file
  11. J.M. Ball and L.A. Peletier. Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions. Arch. Rat. Mech. Anal., 65:193--201, 1977. pdf file
  12. J.M. Ball. On the asymptotic behaviour of generalized processes, with  applications to nonlinear evolution equations. J. Differential Eqns, 27:224--265, 1978. pdf file
  13. J.M. Ball and M. Slemrod. Feedback stabilization of distributed semilinear control systems. Applied Mathematics and Optimization, 5:169--179, 1979. pdf file
  14. J.M. Ball and M. Slemrod. Nonharmonic Fourier series and the stabilization of distributed  bilinear control systems. Comm. Pure Appl. Math., 32:555--587, 1979. pdf file
  15. J.M. Ball. Strict convexity, strong ellipticity, and regularity in the calculus of variations. Proc. Camb. Phil. Soc., 87:501--513, 1980. pdf file
  16. J.M. Ball. Global invertibility of Sobolev functions and the interpenetration of matter. Proc. Royal Soc. Edinburgh, 88A:315--328, 1981.  pdf file
  17. J.M. Ball, J.C. Currie, and P.J. Olver. Null Lagrangians, weak continuity, and variational problems of arbitrary order. J. Functional Anal., 41:135--174, 1981. pdf file
  18. G. Andrews and J.M. Ball. Asymptotic behaviour and changes of phase in one-dimensional  nonlinear viscoelasticity. J. Differential Eqns, 44:306--341, 1982. pdf file
  19. J.M. Ball. Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Phil. Trans. Royal Soc. London A, 306:557--611, 1982. pdf file
  20. J.M. Ball and L.C. Evans. Weak convergence theorems for nonlinear partial differential  equations of first and second order. J. London Math. Soc., 25:332--346, 1982. pdf file
  21. J.M. Ball, J.E. Marsden, and M. Slemrod. Controllability for distributed bilinear systems. SIAM J. Control, 20:575--597, 1982. pdf file
  22. J.M. Ball and D.G. Schaeffer. Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Math. Proc. Camb. Phil. Soc., 94:315--339, 1983. pdf file
  23. J.M. Ball. Differentiability properties of symmetric and isotropic functions. Duke Math. J., 51:699-728, 1984. pdf file
  24. J.M. Ball and J.E. Marsden. Quasiconvexity at the boundary, positivity of the second variation, and elastic stability. Arch. Rat. Mech. Anal., 86:251--277, 1984. pdf file
  25. J.M. Ball and V.J. Mizel. Singular minimizers for regular one-dimensional problems in the calculus of variations. Bull. Amer. Math. Soc., 11:143--146, 1984. pdf file
  26. J.M. Ball and F. Murat. W^{1,p}-quasiconvexity and variational problems for multiple integrals. J. Functional Analysis, 58:225--253, 1984. pdf file
  27. J.M. Ball. Remarks on the paper `Basic Calculus of Variations'. Pacific J. Math., 116:7--10, 1985. pdf file
  28. J.M. Ball and V.J. Mizel. One-dimensional variational problems whose minimizers do not satisfy  the Euler-Lagrange equations. Arch. Rat. Mech. Anal., 90:325--388, 1985. pdf file
  29. J.M. Ball, J. Carr, and O. Penrose. The Becker-Doring cluster equations: basic properties and  asymptotic behaviour of solutions. Comm. Math. Phys., 104:657--692, 1986. pdf file
  30. J.M. Ball and G. Knowles. Lyapunov functions for thermoelasticity with spatially varying boundary temperatures. Arch. Rat. Mech. Anal., 92:193--204, 1986. pdf files
  31. J.M. Ball and G. Knowles. A numerical method for detecting singular minimizers. Numerische Math., 92:193--204, 1986. pdf file
  32. J.M. Ball and R.D. James. Fine phase mixtures as minimizers of energy. Arch. Rat. Mech. Anal., 100:13--52, 1987. pdf file
  33. J.M. Ball and J. Carr. Asymptotic behaviour of solutions of the Becker-Doring equations for arbitrary initial data. Proc. Royal Soc. Edinburgh, 108A:109--116, 1988. pdf file
  34. J.M. Ball and F. Murat. Remarks on Chacon's biting lemma. Proc. Amer. Math. Soc., 107:655--663, 1989. pdf file
  35. J.M. Ball. Sets of gradients with no rank-one connections. J. Math. Pures et Appliquees, 69:241--259, 1990. pdf file
  36. J.M. Ball and J. Carr. The discrete coagulation-fragmentation equations; existence, uniqueness, and density conservation. J. Statistical Physics, 61:203--234, 1990. pdf file
  37. J.M. Ball and K.W. Zhang. Lower semicontinuity of multiple integrals and the Biting lemma. Proc. Royal Soc. Edinburgh, 114A:367--379, 1990. pdf file
  38. J.M. Ball, P.J. Holmes, R.D. James, R.L. Pego, and P.J. Swart. On the dynamics of fine structure. Nonlinear Sci., 1:17--90, 1991. pdf file
  39. J.M. Ball and R.D. James. A characterization of plane strain. Proc. Roy. Soc. London A, 432:93--99, 1991. pdf file
  40. J.M. Ball and R.D. James. Proposed experimental tests of a theory of fine microstructure, and  the two-well problem, Phil. Trans. Roy. Soc. London A, 338:389--450, 1992. pdf file
  41. J.M. Ball, P.K. Jimack, and Tang Qi. Elastostatics in the presence of a temperature distribution or inhomogeneity.  Zeit. Angew. Math. Phys, 43:943--973, 1992. pdf file
  42. J.M. Ball and N. Nadirashvili. Universal singular sets for one-dimensional variational problems. Calculus of Variations and Partial Differential Equations,  1:429--438, 1993. pdf file
  43. J.M. Ball, C. Chu, and R.D. James. Hysteresis during stress-induced variant rearrangement. J. de Physique IV, C8:245--251, 1995. pdf file
  44. J.M. Ball and R.D. James. Local minimizers and phase transformations. Zeitschrift fur Angewandte Mathematik und Mechanik, 76  (Suppl. 2):389--392, 1996. pdf file
  45. J.M. Ball. Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Nonlinear Science, 7:475--502, 1997. Erratum, ibid 8:233,1998. Corrected version appears in `Mechanics: from Theory to Computation', pages 447--474, Springer Verlag, 2000. pdf file
  46. J.M. Ball and C. Carstensen. Nonclassical austenite-martensite interfaces. J. de Physique IV France, 7(C5):35--40, 1997. pdf file
  47. J.M. Ball. The calculus of variations and materials science. Quart. Appl. Math., 56:719--740, 1998. pdf file
  48. J.M. Ball and C. Carstensen. Compatibility conditions for microstructures and the austenite-martensite transition. Materials Science & Engineering A, A273-275:231--236, 1999.  pdf file
  49. J.M. Ball, B. Kirchheim and J. Kristensen. Regularity of quasiconvex envelopes. Calc. Var. Partial Differential Equations, 11:333--359, 2000. pdf file
  50. D. Schryvers, Ph. Boullay,  R. V. Kohn and J.M. Ball. Lattice deformations at martensite-martensite interfaces in Ni-Al, J. de Physique IV 11:23--30, 2001. pdf file
  51. J.M. Ball, A. Taheri and M. Winter. Local minimizers in micromagnetics and related problems, Calc. Var. Partial Differential Equations, 14:1--27, 2002. pdf file
  52. D. Schryvers, P. Boullay, P.L. Potapov, R.V. Kohn and J.M. Ball. Microstructures and Interfaces in Ni-Al Martensite: Comparing HRTEM Observations with Continuum Theories, International Journal of Solids and Structures, 39:3543--3354, 2002. pdf file
  53. Ph. Boullay and D. Schryvers and J.M. Ball. Nano-structures at martensite macrotwin interfaces in Ni_{65}Al_{35}, Acta Materialia, 51:1421--1436, 2002. pdf file
  54. J.M. Ball and D. Schryvers. The analysis of macrotwins in  NiAl  martensite, J. de Physique IV, 112:159--162,  2003.  pdf file
  55. J.M. Ball. Global attractors for damped semilinear wave equations, Discrete and Continuous Dynamical Systems, 10:31--52, 2004. pdf file
  56. J.M. Ball. Mathematical models of martensitic microstructure, Materials Science and Engineering A 378 (2004) 61-69. pdf file
  57. J.M. Ball and A. Zarnescu. Orientable and non-orientable line field models for uniaxial nematic liquid crystals.  Molecular crystals and liquid crystals, 495:573-585, 2008. pdf file
  58. J.M. Ball and C. Mora-Corral. A variational model allowing both smooth and sharp phase boundaries in solidsCommunications on Pure and Applied Analysis, 8:55-81, 2009. pdf file
  59. J.M. Ball and A. Majumdar.  Nematic Liquid Crystals : from Maier-Saupe to a Continuum Theory, Mol. Cryst. Liq. Cryst. 525 (2010) 1-11.  pdf file 
  60. J.M. Ball and E.C.M. Crooks. Local minimizers and planar interfaces in a phase-transition model with interfacial energy.  Calculus of Variations and Partial Differential Equations. 40 (2011) no. 3-4, 501-538. pdf file
  61. J.M. Ball and A. Zarnescu.  Orientability and energy minimization in liquid crystal models, Arch. Ration. Mech. Anal. 202 (2011), no 2, 493-535. pdf file
  62. J.M. Ball, Y. Capdeboscq and B. Tsering Xiao.  On uniqueness for time harmonic anisotropic Maxwell's equations with piecewise regular coefficients.  Mathematical Models and Methods in Applied Science.  Vol. 22, No. 11 (2012). pdf file
  63. J.M. Ball, K. Koumatos, H.Seiner Nucleation of austenite in mechanically stabilized martensite by localized heating Journal of Alloys and Compounds 577S(2013)S37-S42 pdf file
  64. J. M. Ball, K. Koumatos, An investigation of non-planar austenite-martensite interfaces, Mathematical Models and Methods in Applied Sciences, 24 (10), 1937-1956, 2014.
  65. J.M. Ball and A. Zarnescu. Partial regularity and smooth topology-preserving approximations of rough domains. To appear.
  66. J.M. Ball and Y. Sengul. Quasistatic nonlinear viscoelasticity and gradient flows.

Articles in Conference Proceedings and Books
  1. J.M. Ball. Saddle-point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam.  In R.W. Dickey, editor, Nonlinear Elasticity, pages 93--160. Mathematics Research Center, University of Wisconsin, Academic Press, 1973. pdf file
  2. J.M. Ball. Measurability and continuity conditions for evolutionary processes. In L.Cesari, J.K. Hale, and J.P LaSalle, editors, Dynamical  Systems, Volume 2. Academic Press, 1976. pdf file
  3. J.M. Ball. On the calculus of variations and sequentially weakly continuous  maps. In W.N. Everitt and B.D. Sleeman, editors, Proc. International  Conference on Ordinary and Partial Differential Equations, Dundee 1976,  pages 13--25. Springer Lecture Notes in Mathematics, Vol. 564, 1977. pdf file
  4. J.M. Ball. Constitutive inequalities and existence theorems in nonlinear  elastostatics. In R.J. Knops, editor, Nonlinear Analysis and Mechanics,  Heriot-Watt Symposium, Vol. 1. Pitman, 1977. pdf file
  5. J.M. Ball. Finite time blow-up in nonlinear problems. In M.G. Crandall, editor, Nonlinear Evolution Equations, New  York, 1978. Academic Press. pdf file
  6. J.M. Ball, R.J. Knops, and J.E. Marsden. Two examples in nonlinear elasticity. In Journees d'Analyse Nonlineaire, Besan\c con 1977, pages  41--48. Springer Lecture Notes in Mathematics, Vol 665, 1978. pdf file
  7. J.M. Ball, J.E. Marsden, and M. Slemrod. Controllability and stabilizability of distributed bilinear systems: recent results and open problems. ASME publication 80-WA/DSC-27, 1980. pdf file
  8. J.M. Ball. Les séries de Fourier non harmoniques et la stabilisation d'une tige vibrante. In H.Brezis and J-L. Lions, editors, Nonlinear Partial Differential Equations and their Applications, College de France Seminar.  Research Notes in Mathematics, Pitman, 1981. pdf file
  9. J.M. Ball. Les systèmes asymptotiquement dynamiques. In H. Berestycki and H. Brezis, editors, Recent Contributions to  Nonlinear Partial Differential Equations. Pitman, 1981. pdf file
  10. J.M. Ball. Remarques sur l'existence et la regularité des solutions d'élastostatique non linéaire. In H.~Berestycki and H.~Brezis, editors, Recent Contributions to  Nonlinear Partial Differential Equations. Pitman, 1981. pdf file
  11. J.M. Ball. Existence of solutions in finite elasticity. In D.E. Carlson and R.T. Shield, editors,  Proceedings of the  IUTAM Symposium on Finite Elasticity. Martinus Nijhoff, 1981. pdf file
  12. J.M. Ball. Minimizers and the Euler-Lagrange equations. In Proc. ISIMM conference, Paris. Springer-Verlag, 1983. pdf file
  13. J.M. Ball. Energy-minimising configurations in nonlinear elasticity. In Proc. I.M.U. Congress, Warzaw 1983, Warszawa, 1984. Polish  Scientific Publishers. pdf file
  14. J.M. Ball. Material instabilities and the calculus of variations. In M.E. Gurtin, editor, Phase transformations and material  instabilities in solids, pages 1--20. Mathematics Research Center, University of Wisconsin, Academic Press, 1984. pdf file
  15. J.M. Ball. Minimizing sequences in thermomechanics. In Proc. Meeting on `Finite Thermoelasticity', pages 45--54,  Roma, 1986. Accademia Nazionale dei Lincei. pdf file
  16. J.M. Ball and J. Carr. Coagulation-fragmentation dynamics. In  Proc. NATO symposium on 'Infinite-dimensional dynamical  systems', Lisbon. Springer, 1986. pdf file
  17. J.M. Ball. Does rank-one convexity imply quasiconvexity? In Metastability and Incompletely Posed Problems, volume~3,  pages 17--32. IMA volumes in Mathematics and its Applications, 1987. pdf file
  18. J.M. Ball. Singular minimizers and their significance in elasticity. In M.G. Crandall, P.H. Rabinowitz, and R.E.L. Turner, editors, Directions in Partial Differential Equations, pages 1--16. Academic Press,  1987. pdf file
  19. J.M. Ball. Loss of the constraint in convex variational problems. In Analyse Mathematique et Applications; Contributions En  L'Honneur de J-L.Lions, pages 39--53. Gauthier-Villars, 1988. pdf file
  20. J.M. Ball and R.D. James. Minimizing sequences and the microstructure of crystals. In G.W. Lorimer, editor,  Phase Transformations '87, pages  425--426. Institute of Metals, 1988. pdf file
  21. J.M. Ball. A version of the fundamental theorem for Young measures. In M. Rascle, D. Serre, and M. Slemrod, editors, Proceedings of  conference on `Partial differential equations and continuum models of phase  transitions', pages 3--16. Springer Lecture Notes in Physics. No. 359, 1989. pdf file
  22. J.M. Ball. Dynamics and minimizing sequences. In K. Kirchgassner, editor, Problems involving change of type, pages 3--16. Springer Lecture Notes in Physics no. 359,  Springer-Verlag, New York; Heidelberg, Berlin, 1990. pdf file
  23. J.M. Ball and G. Knowles. Young measures and minimization problems of mechanics. In G. Eason and R.W. Ogden, editors, Elasticity: mathematical  methods and applications. The Ian N. Sneddon 70th Birthday Volume, pages  1--20, Chichester, 1990. Ellis Horwood. pdf file
  24. J.M. Ball and F. Murat. Remarks on rank-one convexity and quasiconvexity. In B.D. Sleeman and R.J. Jarvis, editors, Ordinary and partial  differential equations, Volume III, pages 25--37. Pitman, 1991. pdf file
  25. J.M. Ball. Dynamic energy minimization and phase transformations in solids. In Proceedings of ICIAM 91. SIAM, 1992. pdf file
  26. J.M. Ball and R.D. James. Theory for the microstructure of martensite and applications. In C.M. Wayman and J. Perkins, editors, International Conference  on Martensitic Transformations, 1992, pages 65--76. Monterey Institute for  Advanced Studies, 1993. pdf file
  27. J.M. Ball. Elasticity models for crystal microstructure. Conferencia de inauguracion del Seminario de Matematica  Aplicada 1992/1993, Universidad Complutense de Madrid, 1992. pdf file
  28. J.M. Ball. Nonlinear elasticity and materials science; a survey of some recent developments. In P.J. Aston, editor, Nonlinear Mathematics and Its  Applications, pages 93--119. Cambridge University Press, 1996. pdf file
  29. J.M.Ball. Singularities and computation of minimizers for variational problems. In: Foundations of Computational Mathematics,  R. DeVore , A. Iserles and E. Suli Eds.,  London Mathematical Society Lecture Note Series, Vol. 284, pp 1-20. Cambridge University Press , 2001.  pdf file
  30. J.M.Ball and D. Schryvers,  The formation of macrotwins in NiAl martensite, Proceedings IUTAM Mechanics of Martensitic Phase Transformation in Solids, Hong Kong, 2001, ed. Q.-P. Sun, pages 27-36, Kluwer,  2002. .pdf file
  31. J.M. BallSome open problems in elasticity. In Geometry, Mechanics, and Dynamics, pages 3--59, Springer, New York, 2002. pdf file
  32. J.M. Ball and A. Zarnescu, Orientable and non-orientable director fields for liquid crystals.  PAMM, 7:1050701-1050704, 2007.
  33. J.M. Ball, Progress and Puzzles in Nonlinear Elasticity, Proceedings of course on Poly-, Quasi- and Rank-One Convexity in Applied Mechanics, CISM, Udine, to appear. pdf file
  34. J.M. Ball, K Koumatos and H Seiner.  An analysis of non-classical austenite-martensite interfaces in CuAINi.  Proceedings ICOMAT08, TMS, 2010.  pdf file

Books and Edited Books
  1. J.M. Ball Ed.  Systems of Nonlinear Partial Differential Equations. Reidel, 1983
  2. J.M. Ball Ed. Material Instabilities in Continuum Mechanics and Related  Mathematical Problems. Oxford University Press, 1988.
  3. J.M. Ball,  D. Kinderlehrer, P. Podio-Guidugli and M. Slemrod Eds., Evolving Phase Interfaces in Solids, Springer-Verlag, 1999.
  4. J.M. Ball and J.C.R. Hunt Eds., ICIAM99, Proceedings of the Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, Oxford University Press, 2000.

Book Reviews
  1. J.M. Ball, Review of Variational Inequalities and Complementarity Problems by R.W. Cottle, F. Gianessi and J.-L. Lions, Bull. London Math. Soc., 13:381-383, 1981.
  2. J.M. Ball, Review of Geometric Theory of Semilinear Parabolic Equations by D. Henry, Bull. London Math. Soc. 14:270-271, 1982.
  3. J.M. Ball, Reviews of Nonlinear Differential Equationsby S. Fucik and A. Kufner and  Solvability of Nonlinear Equations and Boundary Value Problems by S. Fucik, Bull. London Math. Soc. 14:455-456, 1982.
  4. J.M. Ball, Review of Generalized solutions to Hamilton-Jacobi equations by P.-L. Lions, Bull. London Math. Soc. 15:394-395, 1983.
  5. J.M. Ball, Review of Optimization - Theory and Applicationsby L. Cesari, Bull. London Math. Soc. 16:202-204, 1984.
  6. J.M. Ball, Review of Shock Waves and Reaction-Diffusion Equations by J. Smoller, Bull. London Math. Soc. 16:200-202, 1984.
  7. J.M. Ball, Review of Qualitative Methods in Nonlinear Mechanicsby J.T. Oden, SIAM Review 30:136-137, 1988.
  8. J.M. Ball, Review of Asymptotic Behaviour of Dissipative Systems  by J.K. Hale, Bull. London Math. Soc. 22:524-526, 1990.
  9. J.M. Ball. Review of `Nonlinear problems of elasticity, by Stuart S Antman'. Bulletin Amer. Math. Soc., 33:269-276, 1996.
  10. J.M. Ball. Not just a pretty equation: Review of Mathematics and Common Sense: A case of creative tension, by Philip J. Davis.  New Scientist, 192(2579):54-55, 2006.

  1. J.M. Ball. The calculus of variations after 300 years. Video, obtainable from Isaac Newton Institute, Cambridge.
  2. J.M. Ball, Obituary of Albert Green, Queen's College Record, 2000.
  3. J.M. Ball, Obituary of Jacques-Louis Lions, The Independent, 30 May 2001.
  4. J.M. Ball and R.D. James, The scientific life and influence of Clifford Ambrose Truesdell III, Arch. Rational Mechanics Analysis 161:1-26, 2002. pdf file
  5. Interview with John Ball, President of the International Mathematical Union.  Bol. Soc. Esp. Mat. Apl. Sema, (33):19-26, 2005.pdf file
  6. Interview with Sir John Ball, President of the IMU, at the 2006 ICM. Gac. R. Soc. Mat. Esp.,9(3):611-614, 2006.
  7. Transcription of ICM 2006 Closing Round Table: "Are pure and applied mathematics drifting apart?".  Proceedings International Congress of Mathematics, Madrid, 2006, 1:757-776, 2007.
  8. J.M. Ball, Support for Mathematics in Developing Countries.   pdf file
In Preparation
  1. J.M. Ball, C. Chu, and R.D. James.  Metastability and martensite.
  2. J.M. Ball and R.D. James. Incompatible sets of gradients and metastability.
  3. J.M. Ball and R.D. James. The fundamental sufficiency theorem of the one-dimensional calculus of variations.
  4. J.M. Ball and R.D. James. From Microscales to Macroscales in Materials. (Book)
  5. J.M. Ball and C. Cartensen.  Hadamard's compatibility condition for microstructures.
  6. J.M. Ball and R.D. James. Varying volume fractions of gradient Young measures.
  7. J.M. Ball and A. Zarnescu.  Approximation of non-smooth domains by smooth ones that preserve the fundamental group.
  8. J.M. Ball and A. Majumdar.  Equilibrium order parameters of liquid crystals in the q-tensor framework.
  9. W. Tirry, J.M. Ball, B. Muite and D. Schryvers.  In situ TEM observations of untwinned stress-induced martensite and near compatibility.

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