Highlights of the CNA publications co-authored by CNA trainees:

  1. 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.
  2. 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.
  3. 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.
  4. Belanger, A., S. Shreve and D. Wong, A unified model for credit derivatives, Mathematical Finance.
  5. Bocea, M. and I. Fonseca, Equi-integrability results for 3D-2D dimension reduction problems, ESAIM:COCV 7 (2002) 443.
  6. 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.
  7. 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.
  8. Carstensen, C. and M.O. Rieger, Numerical simulations in non-monotone elastodynamics involving Young-measure approximations, Journal of Computational Physics.
  9. Cermelli, P. and M. Gurtin, On the characterization of geometrically necessary dislocations in finite plasticity, J. Mech. Phys. Solids 49 (2000) 1539.
  10. Cermelli, P. and M. Gurtin, Geometrically necessary dislocations and viscoplastic single crystals and bicrystals undergoing small deformations, International Journal of Solids and Structures.
  11. Chen, X. and M. Kowalczyk, Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system, Advances in Diff. Equations 6 (2001) 847.
  12. Chipot, M., D. Kinderlehrer, and Kowalczyk, M., A variational principle for molecular motors, Meccanica.
  13. Choksi, R., G. Del Piero, I. Fonseca, and D. Owen, Structured deformations, Mathematics and Mechanics of Solids 4 (1999) 321.
  14. Conti, S., I. Fonseca and G. Leoni, A Gamma-convergence result for the two-gradient theory of phase transitions, CPAM 55 (2002) 857.
  15. Dacorogna, B., I. Fonseca, J. Malý, and K. Trivisa, Relaxation problems under constraints, Calc. Var. 9 (1999) 185.
  16. Dal Maso, G., I. Fonseca, G. Leoni, and M. Morini, 2-Quasiconvexity versus 1-quasiconvexity, Arch. Rat. Mech. Anal.
  17. 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.
  18. Del Pino, M., P. Felmer, and M. Kowalczyk, Boundary Spikes in the Gierer-Meinhardt System , Communications on Pure and Applied Analysis.
  19. Deseri, L. and D. Owen, Energetics of Two-level shears and hardening of single crystals, Mathematics and Mechanics of Materials 1 (2002) 387.
  20. Deseri, L. and D. Owen, Invertible structured deformations and the geometry of multiple slip in single crystals, International Journal of Plasticity 18 2002 833.
  21. Deseri, L and D. Owen, Active slip band separation and the energetics of slip in single crystals, International Journal of Plasticity 16 (2000) 1411.
  22. Deseri, L. and D. Owen, Toward a field theory for elastic bodies undergoing disarrangements, Journal of Elasticity.
  23. Dolbeault, J., D. Kinderlehrer, and M. Kowalczyk, The flashing rachet: long time behavior and dynamical system behavior, Physica D.
  24. 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.
  25. Fonseca, I., S. Müller, and G. Leoni, $\mathcal{A}$-quasiconvexity: weak-star convergence and the gap, Ann. Inst. Henri Poincaré, Submitted.
  26. Fonseca, I., G. Leoni, and R. Paroni, On Hessian Matrices in the Space $BH$, Communications in Contemporary Math., Submitted.
  27. Fonseca, I., G. Leoni, and R. Paroni, On lower semicontinuity in $BH^p$ and 2-quasiconvexification, Calc. of Var.
  28. Fonseca, I. and E. Zappale, Multiscale relaxation of convex functionals, J. Convex Analysis 10 (2003) 2.
  29. Fonseca, I., G. Leoni, J. Maly, and R. Paroni, A note on Meyer's theorem, Trans. A.M.S. 354 (2002) 3723.
  30. Fonseca, I. and G. Leoni, On lower semicontinuity and relaxation, Proc. Royal Soc. Edin. 131 (2001) 519.
  31. Fonseca, I. and G. Leoni, Some remarks on lower semicontinuity, Indiana University Mathematics Journal 49 (2000) 617.
  32. Fonseca, I. and G. Leoni, Relaxation results in micromagnetics, Richerche Mat. 49 (2000) 269.
  33. Fonseca, I. and G. Leoni, Bulk and contact energies: relaxation and nucleation, SIAM J. Math. Anal. 30 (1999) 190.
  34. 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.
  35. Fonseca, I., J. Schaeffer, and M. Shvartsman, Oscillations in one-dimensional elasticity with surface energy, Quarterly of Applied Mathematics 3 (1999) 475.
  36. Fonseca, I., S. Müller, and P. Pedregal, Analysis of concentration and oscillation effects generated by gradients, SIAM J. Mathematical Analysis 29 (1998) 736-756.
  37. 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.
  38. Fried, E. and M. Gurtin, A void based description of segregation and compaction in flowing granular materials, Continuum Mechanics and Thermodynamics.
  39. 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.
  40. Fried, E. and M.E. Gurtin, Coherent solid-state phase transitions with atomic diffusion: a thermo-mechanical treatment, J. Statist. Phys. 95 (1999) 1361.
  41. 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.
  42. K. Janecek and S. Shreve, Asymptotic analysis for optimal investment and consumption with transaction costs. To be submitted.
  43. Janecek, K. and S. Shreve, Asymptotic analysis for optimal investment and consumption with transaction costs, Finance and Stochastics.
  44. Kinderlehrer, D., I. Livshits and S. Ta'asan, A variational approach to the simulation of grain growth, To be submitted.
  45. Kinderlehrer, D. and M. Kowalczyk, Diffusion mediated transport and the flashing rachet, Arch. Rat. Mech. Anal. 161 (2002) 149.
  46. 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.
  47. Kinderlehrer, D. and M. Kowalczyk, Remarks about diffusion mediated transport, Ricerche Math. 49 (2000) 305.
  48. Jordan, R., D. Kinderlehrer, and F. Otto, Dynamics of the Fokker-Planck Equation, Phase Transitions 69 (1999) 271.
  49. Kinderlehrer, D. and D. Mason, Incoherence at heterogeneous interfaces, J. Mech. Phys. Solids 47 (1999) 271.
  50. Jordan, R., D. Kinderlehrer, and F. Otto, The variational formulation of the Fokker-Planck Equation, SIAM J. Math Anal. 29.1 (1998) 1-17.
  51. Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Earliest-deadline-first service in heavy-traffic acyclic networks. To be submitted.
  52. Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Multiple-input heavy-traffic real-times queues, Annals Proba. 13 (2003) 54.
  53. Kurzke, M., and M.O. Rieger, A relaxed model for step-terraces on crystalline surfaces, Journal of Convex Analysis.
  54. Leoni, G., and M. Morini, Some remarks on the analyticity of minimizers of free discontinuity problems, Journal de Mathematiques Pures et Appliquees.
  55. Liu, C. and N. Walkington, Mixed methods for the approximation of liquid crystal flows, Math. Modeling and Numer. Anal. 36 (2002) 205.
  56. Morini, M. and M. Rieger, On a volume constrained variational problem with lower order terms, Applied Mathematics and Optimization. Submitted.
  57. Morini, M. and M. Negri, Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies, Mathematical Models and Methods in Applied Sciences (M3AS).
  58. Morini, M. and M.O. Rieger, The Gamma-limit of variational problems with volume constraints, to be submitted.
  59. Müller, S., M.O. Rieger, and V. Sverak, Parabolic systems with nowhere smooth solutions, Arch. Rat. Mech. Anal.
  60. Nicolaides, N. and K. Trapp, Higher order covolume approximation of Maxwell's equations, to be submitted.
  61. Rieger, M., Exponential stability and global existence in thermoelasticity with radial symmetry, Quarterly of Applied Mathematics. Submitted.
  62. Rieger, M. O. and J. Zimmer, Global existence for nonconvex thermoelasticity, SIMA.
  63. Schmock, U., S. Shreve, and W. Wystup, Valuation of exotic options under shortselling constraints, Finance and Stochastics 6 (2002) 143.
  64. Sirbu, M., I. Pikovsky, and S. Shreve, Perpetual convertible bonds SIAM Journal on Control and Optimization.