CNA Publications

  1. Acerbi, E., G. Bouchitté, and I. Fonseca, Relaxation of convex functionals: The Gap Problem, Annales de l'Institut Poincare, Analise Nonlineaire.

  2. Adams., B., D. Kinderlehrer, I. Livshits, D. Mason, W. Mullins, G. Rohrer, A. Rollett, D. Saylor, S. Ta'asan, and C.-t. Wu, Extracting grain boundaries and surface energy from measurement of triple junction geometry, Interface Science 7 (1999) 321.

  3. Adams, B.L., D. Kinderlehrer, W.W. Mullins, A.D. Rollett, and S. Ta'asan, Extracting the relative grain boundary free energy and mobility functions from the geometry of microstructures, Scripta Materiala 38.4 (1998) 531-536.

  4. Ambrosio, L., I. Fonseca, P. Marcellini, and L. Tartar, On a volume constrained variational problem, Arch. Rat. Mech. Anal. 149 (1999) 23.

  5. Anand, L. and M. E. Gurtin, A theory of amorphous solids undergoing large deformations, with application to polymeric materials, International Journal of Solids and Structures.

  6. Anand, L. and M. E. Gurtin, Thermal effects in the superelasticity of shape memory materials, Journal of the Mechanics and Physics of Solids.

  7. Argall, B., E. Cheleshkin, J. Greenberg, C. Hinde, and P.-J. Lin, A rigorous treatment of a follow-the-leader traffic model with traffic lights present, SIAM J. Appl. Math. 63 (2002) 149.

  8. Barroso, A. C., I. Fonseca and R. Toader, A relaxation theorem in the space of functions of bounded deformation, Ann. Scuola Norm. Sup. Pisa, Cl. Sc. 29 (2000) 19.

  9. Belanger, A., S. Shreve and D. Wong, A unified model for credit derivatives, to be submitted.

  10. Bhattacharya, K., I. Fonseca, and G. Francfort, Debonding of thin films in the presence of interfacial energy, Arch. Rat. Mech. Anal. 161 (2002) 205.

  11. Bittencourt, E., A. Needleman, M.E. Gurtin, and E. Van der Giessen, A comparison of nonlocal continuum and discrete dislocation plasticity predictions, Journal of the Mechanics and Physics of Solids 51 (2003) 281.

  12. Bocea, M. and I. Fonseca, Equi-integrability results for 3D-2D dimension reduction problems, ESAIM:COCV 7 (2002) 443.

  13. Bouchitté, G., I. Fonseca and L. Mascarenhas, Bending moment in membrane theory, J. Funct. Anal., Submittted

  14. Bouchitté, G., I. Fonseca, G. Leoni, and L. Mascarenhas, A global method for relaxation in $W^{1,p}$ and in $SBV_p$, Arch. Rat. Mech. Anal. 165 (2002) 187.

  15. Bouchitté, G., I. Fonseca, and L. Mascarenhas, Relaxation of Variational Problems under Trace Constraints, Nonlinear Analysis 49 (2002) 221.

  16. Bouchitté, G., I. Fonseca, and J. Malý, Integral representation of the relaxed energy below the growth exponent, Proc. R. Soc. Edin. 128A (1998) 463-497.

  17. Bouchitté, G., I. Fonseca, and L. Mascarenhas, A global method for relaxation, Arch. Rat. Mech. Anal. 145 (1998) 51-98.

  18. Braides, A. and I. Fonseca, Brittle Thin Films, Applied Math. and Optimization 44 (2001) 299.

  19. Braides, A., I. Fonseca, and G. Francfort, 3D-2D asymptotic analysis for inhomogeneous thin films, Indiana University Mathematics Journal 49 (2000) 299.

  20. Braides, A., I. Fonseca, and G. Leoni, A-quasiconvexity: Relaxation and Homogenization, ESAIM:COCV 5 (2000) 58.

  21. Brandon, D., I. Fonseca, and P. Swart, The creation and propagation of oscillations in a dynamical model of displacive phase transformations, Proc. Royal Soc. Edin. 131A (2001) 58.

  22. Carstensen, C. and M.O. Rieger, Numerical simulations in non-monotone elastodynamics involving Young-measure approximations, Journal of Computational Physics.

  23. Cerf, R. and A. Pisztora, On the Wulff crystal in the Ising model, Ann. Probab. 28 (2000) 947.

  24. Cermelli, P. and M. Gurtin, On the characterization of geometrically necessary dislocations in finite plasticity, J. Mech. Phys. Solids 49 (2000) 1539.

  25. Cermelli, P. and M. Gurtin, Geometrically necessary dislocations and viscoplastic single crystals and bicrystals undergoing small deformations, International Journal of Solids and Structures.

  26. Chen, X. and M. Kowalczyk, Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system, Advances in Diff. Equations 6 (2001) 847.

  27. Chipot, M., D. Kinderlehrer, and Kowalczyk, M., A variational principle for molecular motors, Meccanica.

  28. Choksi, R., G. Del Piero, I. Fonseca, and D. Owen, Structured deformations, Mathematics and Mechanics of Solids 4 (1999) 321.

  29. Coffman, C.V., J.M. Greenberg, and R.C. MacCamy, On the long-time behavior of ferroelectric systems, Physica D 134 (1999) 362.

  30. Conti, S., I. Fonseca and G. Leoni, A Gamma-convergence result for the two-gradient theory of phase transitions, CPAM 55 (2002) 857.

  31. Dacorogna, B. and I. Fonseca, A-B quasiconvexity and implicit partial differential equations, Calc. Var. 14 (2002) 115.

  32. Dacorogna, B. and I. Fonseca, Minima absolus pour des energies ferromagnetiques, Comptes R. Ac. Sc. Paris 331 (2000) 497.

  33. Dacorogna, B., I. Fonseca, J. Malý, and K. Trivisa, Relaxation problems under constraints, Calc. Var. 9 (1999) 185.

  34. Dal Maso, G., I. Fonseca, G. Leoni, and M. Morini, 2-Quasiconvexity versus 1-quasiconvexity, Arch. Rat. Mech. Anal.

  35. Del Pino, M., M. Kowalczyk, and C. Chen, The Geirer and Meinhardt System: the breaking of homoclinics and multi-bump ground states, Communications in Contemporary Mathematics 3 (2001) 419.

  36. Del Pino, M., P. Felmer, and M. Kowalczyk, Boundary Spikes in the Gierer-Meinhardt System , Communications on Pure and Applied Analysis.

  37. Deseri, L. and D. Owen, Energetics of Two-level shears and hardening of single crystals, Mathematics and Mechanics of Materials 1 (2002) 387.

  38. Deseri, L. and D. Owen, Invertible structured deformations and the geometry of multiple slip in single crystals, International Journal of Plasticity 18 2002 833.

  39. Deseri, L and D. Owen, Active slip band separation and the energetics of slip in single crystals, International Journal of Plasticity 16 (2000) 1411.

  40. Deseri, L. and D. Owen, Toward a field theory for elastic bodies undergoing disarrangements, Journal of Elasticity.

  41. Dolbeault, J., D. Kinderlehrer, and M. Kowalczyk, The flashing rachet: long time behavior and dynamical system behavior, Physica D.

  42. Doytchinov, B., J. Lehoczky, and S. Shreve, Real-time queues in heavy traffic with earliest-deadline-first queue discipline, Annals Appl. Probl. 11 (2000) 332.

  43. Fonseca, I., S. Müller, and G. Leoni, $\mathcal{A}$-quasiconvexity: weak-star convergence and the gap, Ann. Inst. Henri Poincaré, Submitted.

  44. Fonseca, I., G. Leoni, and R. Paroni, On Hessian Matrices in the Space $BH$, Communications in Contemporary Math., Submitted.

  45. Fonseca, I., N. Fusco, and P. Marcellini, On the total variation of the jacobian, J. Funct. Anal., Submitted.

  46. Fonseca, I., J. Malý, and G. Mingione, Scalar minimizers with fractal singular sets, Arch. Rat. Mech. Anal., Submitted

  47. Fonseca, I., N. Fusco, and P. Marcellini, Topological degree, Jacobian determinant and relaxation, BUMI.

  48. Fonseca, I., G. Leoni, and R. Paroni, On lower semicontinuity in $BH^p$ and 2-quasiconvexification, Calc. of Var.

  49. Fonseca, I. and E. Zappale, Multiscale relaxation of convex functionals, J. Convex Analysis 10 (2003) 2.

  50. Fonseca, I., N. Fusco, and P. Marcellini, Existence theorems for nonconvex problems, ESAIM:COCV 7 (2002) 69.

  51. Fonseca, I., G. Leoni, J. Maly, and R. Paroni, A note on Meyer's theorem, Trans. A.M.S. 354 (2002) 3723.

  52. Fonseca, I. and G. Leoni, On lower semicontinuity and relaxation, Proc. Royal Soc. Edin. 131 (2001) 519.

  53. Fonseca, I. and G. Leoni, Some remarks on lower semicontinuity, Indiana University Mathematics Journal 49 (2000) 617.

  54. Fonseca, I. and C. Mantegazza, Second order singular perturbation models for phase transitions, SIAM Journal on Mathematical Analysis 31 (2000) 1121.

  55. Fonseca, I. and G. Francfort, On the inadequacy of the elasticity for 3D-2D asymptotics in a nonlinear setting, J. Math. Pures et Appl. 80 (2000) 547.

  56. Fonseca, I. and G. Leoni, Relaxation results in micromagnetics, Richerche Mat. 49 (2000) 269.

  57. Fonseca, I. and G. Leoni, Bulk and contact energies: relaxation and nucleation, SIAM J. Math. Anal. 30 (1999) 190.

  58. Fonseca, I. and S. Müller, A-quasiconvexity: a necessary and sufficient condition for lower semicontinuity under PDE constraints, SIAM J. Math. Anal. 30 (1999) 1355.

  59. Fonseca, I., J. Schaeffer, and M. Shvartsman, Oscillations in one-dimensional elasticity with surface energy, Quarterly of Applied Mathematics 3 (1999) 475.

  60. Fonseca, I. and G. Francfort, 3D-2D asymptotic analysis of an optimal design problem for thin films, J. reine angew. Math. 505 (1998) 173-202.

  61. Fonseca, I., S. Müller, and P. Pedregal, Analysis of concentration and oscillation effects generated by gradients, SIAM J. Mathematical Analysis 29 (1998) 736-756.

  62. Fried, E. and M.E. Gurtin, A unified treatment of evolving interfaces with deformation and atomic transport: grain-boundaries, evaporation-condensation, epitaxy, coherency, Advances in Applied Mechanics.

  63. Fried, E. and M. Gurtin, A void based description of segregation and compaction in flowing granular materials, Continuum Mechanics and Thermodynamics.

  64. Fried, E. and M.E. Gurtin, The role of configurational force balance in the nonequilibrium epitaxy of films, Journal of the Mechanics and Physics of Solids 51 (2003) 487.

  65. Fried, E. and M.E. Gurtin, Coherent solid-state phase transitions with atomic diffusion: a thermo-mechanical treatment, J. Statist. Phys. 95 (1999) 1361.

  66. Greenberg, J.M., Fast chirplet approximations, to be submitted.

  67. Greenberg, J.M., A. Klar, M. Rascle, Congestion on multilane highways, SIAM J. Appl. Math. 63 (2003) 818.

  68. Greenberg, J.M., Phase transitions with semi-diffuse interfaces, J. Diff. Eqs. 189 (2003) 161.

  69. Greenberg, J.M., Estimates and computations for melting and solidification problems, Math. Modell. Num. Anal. 35 (2001) 607.

  70. Greenberg, J.M., Melt fracture revisited, European Journal of Applied Mech. 12 (2001) 465.

  71. Greenberg, J.M. and M. Rascle, Extensions and amplifications of a traffic model, SIAM J. Appl. Math. 62 (2001) 729.

  72. Greenberg, J.M. and D. Owen, Anti-plane shear flows in visco-plastic solids exhibiting isotropic and kinematic hardening, SIAM J. Appl. Math 58 (1998) 1996-2023.

  73. Gurtin, M.E., On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients, Int. J. Plasticity 19 (2002) 47.

  74. Gurtin, M.E., A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations, Journal of the Mechanics and Physics of Solids 50 (2002) 4.

  75. Gurtin, M.E., On the plasticity of single crystals: free energy, microforces, plastic-strain gradients, J. Mech. Phys. Solids 48 (2000) 989.

  76. Gurtin, M.E. and M.T. Lusk, Sharp-interface and phase-field theories of recrystallization in the plane, Physica D 130 (1999) 133.

  77. Gurtin, M.E. and P. Voorhees, On the effects of elastic stress on the motion of fully faceted interfaces, Acta Mater. 46 (1998) 2103-2112.

  78. Gurtin, M.E. and P. Podio-Guidugli, Configurational Forces and a Constitutive Theory for Crack Propagation that Allows for Curving and Kinking, J. Mech. Phys. Solids 46 (1998) 1343-1378.

  79. Hardt, R. and D. Kinderlehrer, Some regularity results in ferromagnetism, Coom. in PDE 25 (2000) 1235.

  80. Heath, D., D. Kinderlehrer, and M. Kowalczyk, Discrete and continuous rachets: from coin toss to molecular motor, Discrete and Cont. Dynamical Systems 2 2002 153.

  81. Janecek, K. and S. Shreve, Asymptotic analysis for optimal investment and consumption with transaction costs, Finance and Stochastics.

  82. Kinderlehrer, D., I. Livshits and S. Ta'asan, A variational approach to the simulation of grain growth, To be submitted.

  83. Kinderlehrer, D. and M. Kowalczyk, Diffusion mediated transport and the flashing rachet, Arch. Rat. Mech. Anal. 161 (2002) 149.

  84. Kinderlehrer, D., I. Livshits, D. Mason, and Ta'asan, The surface energy of MgO: multiscale reconstruction from thermal groove geometry, Interface Science 10 (2002) 233.

  85. Kinderlehrer, D. and M. Kowalczyk, Remarks about diffusion mediated transport, Ricerche Math. 49 (2000) 305.

  86. Jordan, R., D. Kinderlehrer, and F. Otto, Dynamics of the Fokker-Planck Equation, Phase Transitions 69 (1999) 271.

  87. Kinderlehrer, D. and D. Mason, Incoherence at heterogeneous interfaces, J. Mech. Phys. Solids 47 (1999) 271.

  88. Kinderlehrer, D. and N. Walkington, Approximation of Parabolic Equations Based Upon Wasserstein's Variational Principle, M2AN 33 (1999) 837.

  89. Jordan, R., D. Kinderlehrer, and F. Otto, The variational formulation of the Fokker-Planck Equation, SIAM J. Math Anal. 29.1 (1998) 1-17.

  90. Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Earliest-deadline-first service in heavy-traffic acyclic networks, Annals of Applied Probability.

  91. Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Multiple-input heavy-traffic real-times queues, Annals Proba. 13 (2003) 54.

  92. Kurzke, M., and M.O. Rieger, A relaxed model for step-terraces on crystalline surfaces, Journal of Convex Analysis.

  93. Leoni, G., and M. Morini, Some remarks on the analyticity of minimizers of free discontinuity problems, Journal de Mathematiques Pures et Appliquees.

  94. Liu, C. and N. Walkington, Mixed methods for the approximation of liquid crystal flows, Math. Modeling and Numer. Anal. 36 (2002) 205.

  95. Morini, M. and M. Rieger, On a volume constrained variational problem with lower order terms, Applied Mathematics and Optimization. Submitted.

  96. Morini, M. and M. Negri, Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies, Mathematical Models and Methods in Applied Sciences (M3AS).

  97. Morini, M. and M.O. Rieger, The Gamma-limit of variational problems with volume constraints, to be submitted.

  98. Müller, S., M.O. Rieger, and V. Sverak, Parabolic systems with nowhere smooth solutions, Arch. Rat. Mech. Anal.

  99. Nicolaides, N. and K. Trapp, Higher order covolume approximation of Maxwell's equations, to be submitted.

  100. Nicolaides, R., A method for complex geometries in finite difference solutions of Maxwell's Equations, Applied Math. Letters.

  101. Owen, D., Structured deformations and the refinements of balances laws induced by microslip, International Journal of Plasticity 14 (1998) 289-299.

  102. Rieger, M., Exponential stability and global existence in thermoelasticity with radial symmetry, Quarterly of Applied Mathematics. Submitted.

  103. Rieger, M. O. and J. Zimmer, Global existence for nonconvex thermoelasticity, SIMA.

  104. Schmock, U., S. Shreve, and W. Wystup, Valuation of exotic options under shortselling constraints, Finance and Stochastics 6 (2002) 143.

  105. Sirbu, M., I. Pikovsky, and S. Shreve, Perpetual convertible bonds SIAM Journal on Control and Optimization.

  106. Davis, M., I. Fonseca and M. Grótschel, The Impact of Mathematical Research on Industry and Vice-Versa, Editors: EMS, Proceedings of the Third European Congress of Mathematics 2000.

  107. Del Piero, G. and D. Owen, Structured Deformations, Ravello Summer School, Quaderni dell' Istituto Nazionale di Alta Matematica 2002.

  108. Del Piero, G. and D. Owen, Structured Deformations, Editor: Quaderni dell' Istituto Nazionale di Alta Matematica, Gruppo Nazionale di Fisica Matematica, Lecture Notes from the Ravello Summer School 58 2000.

  109. Deseri, L. and D. Owen, A Description of the Portevin-LeChatelier Effect in Single Crystals Based on Structured Deformations, Editor Akhtar Kah, Plasticity, '99: Proceedings of the Seventh International Symposium on Plasticity and its Current Applications, Neat Press, Fulton 1998.

  110. Fonseca, I., Regularity and Optimal Design Results for Elastic Membranes, Proceedings of the Journées MICHEL ARTOLA 1999.

  111. Fonseca, I. and J. Malý, Remarks on the Determinant Nonlinear Elasticity and Fracture Mechanics, Editors: A. Sequeira, H. Beirao da Veiga, Applied Nonlinear Analysis, Plenum Press (Kluwer Academic Press) volume in honour of J. Necas on his 70th birthday 1999.

  112. Gurtin, M., Configurational Forces as Basic Concepts in Continuum Physics, Springer-Verlag 1999.

  113. Kinderlehrer, D., J. Lee, I. Livshits, S. Ta'asan and P. Yu, Multiscale modeling and simulation of grain boundary evolution, Proceedings of the 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Proceedings of the 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials, Norfolk, VA 2002.

  114. Kinderlehrer, D., Stability of Simulated Magnetic Systems, Editors: Magalhaes, L., Rocha, C., and Sanchez, L., Int. Conf. Diff. Eqns, World Scientific 1998.

  115. Kinderlehrer, D., Microstructural Evolution and Metastability in Active Materials, Editors: Bullard et, al., MRS 1998.

  116. Kinderlehrer, D. and D. Mason, Remarks about Incoherence at Grain Boundaries, Grain Growth in Polycrystalline Materials III, Editors: Weiland, H., Adams, B. L., and Rollett, A. D., TMS 1998.

  117. Kinderlehrer, D., C. Liu, F. Manolache and S. Ta'asan, Remarks about Analysis and Simulation of Grain Boundary Systems, Grain Growth in Polycrystalline Materials III, Editors: Weiland, H., Adams, B. L., and Rollett, A. D., TMS Proceedings 1998.

  118. Owen, D., Twin balance laws for bodies undergoing structured motions, Editors: P. Podio-Guidugli and M. Brocato, Rational Continua, Classical and New, Springer 2002.

  119. Owen,D., Twin balance laws for bodies undergoing structured motions, Springer-Verlag, Rational Continua: Classical and New 2001.

  120. Owen, D., Refined Continuum Models of Plasticity and Related Phenomena, Akhtar Kahn, Plasticity'99: Symposium on Plasticity and its Current Applications Neat Press, Fulton, Maryland 1998.