\documentclass[12pt]{article} 
\begin{document} 


\centerline{Highlights of the CNA publications co-authored by CNA trainees:}

\begin{enumerate} 
\item 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, {\it Interface Science} {\bf 7} (1999) 321.
\item 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, {\it SIAM J. Appl. Math.} {\bf 63} (2002) 149.
\item Barroso, A. C., I. Fonseca and R. Toader, A relaxation theorem in the space of functions of bounded deformation, {\it Ann. Scuola Norm. Sup. Pisa, Cl. Sc.} {\bf 29} (2000) 19.
\item Belanger, A., S. Shreve and D. Wong, A unified model for credit derivatives, {\it Mathematical Finance}.
\item Bocea, M. and I. Fonseca, Equi-integrability results for 3D-2D dimension reduction problems, {\it ESAIM:COCV} {\bf 7} (2002) 443.
\item Bouchitt\'e, G., I. Fonseca, G. Leoni, and L. Mascarenhas, A global method for relaxation in $W^{1,p}$ and in $SBV_p$, {\it Arch. Rat. Mech. Anal.} {\bf 165} (2002) 187.
\item Brandon, D., I. Fonseca, and P. Swart, The creation and propagation of oscillations in a dynamical model of displacive phase transformations, {\it Proc. Royal Soc. Edin.} {\bf 131A} (2001) 58.
\item Carstensen, C. and M.O. Rieger, Numerical simulations in non-monotone elastodynamics involving Young-measure approximations, {\it Journal of Computational Physics}.
\item Cermelli, P. and M. Gurtin, On the characterization of geometrically necessary dislocations in finite plasticity, {\it J. Mech. Phys. Solids} {\bf 49} (2000) 1539.
\item Cermelli, P. and M. Gurtin, Geometrically necessary dislocations and viscoplastic single crystals and bicrystals undergoing small deformations, {\it International Journal of Solids and Structures.}
\item Chen, X. and M. Kowalczyk, Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system, {\it Advances in Diff. Equations} {\bf 6} (2001) 847.  
\item Chipot, M., D. Kinderlehrer, and Kowalczyk, M., A variational principle for molecular motors, {\it Meccanica}.
\item Choksi, R., G. Del Piero, I. Fonseca, and D. Owen, Structured deformations, {\it Mathematics and Mechanics of Solids} {\bf }4 (1999) 321.
\item Conti, S., I. Fonseca and G. Leoni, A Gamma-convergence result for the two-gradient theory of phase transitions, {\it CPAM} {\bf 55} (2002) 857.
\item Dacorogna, B., I. Fonseca, J. Mal\'y, and K. Trivisa, Relaxation problems under constraints, {\it Calc. Var.} {\bf 9} (1999) 185.
\item Dal Maso, G., I. Fonseca, G. Leoni, and M. Morini, 2-Quasiconvexity versus 1-quasiconvexity,  {\it Arch. Rat. Mech. Anal.}
\item Del Pino, M., M. Kowalczyk, and C. Chen, The Geirer and Meinhardt System: the breaking of homoclinics and multi-bump ground states, {\it Communications in Contemporary Mathematics} {\bf 3} (2001) 419.
\item Del Pino, M., P. Felmer, and M. Kowalczyk, Boundary Spikes in the Gierer-Meinhardt System , {\it Communications on Pure and Applied Analysis}.
\item Deseri, L. and D. Owen, Energetics of Two-level shears and hardening of single crystals, {\it Mathematics and Mechanics of Materials} {\bf 1} (2002) 387.
\item Deseri, L. and D. Owen, Invertible structured deformations and the geometry of multiple slip in single crystals, {\it International Journal of Plasticity} {\it 18} {\bf 2002} 833.
\item Deseri, L and D. Owen, Active slip band separation and the energetics of slip in single crystals, {\it International Journal of Plasticity} {\bf 16} (2000) 1411.
\item Deseri, L. and D. Owen, Toward a field theory for elastic bodies undergoing disarrangements, {\it Journal of Elasticity.}
\item Dolbeault, J., D. Kinderlehrer, and M. Kowalczyk, The flashing rachet: long time behavior and dynamical system behavior, {\it Physica D.}
\item Doytchinov, B., J. Lehoczky, and S. Shreve, Real-time queues in heavy traffic with earliest-deadline-first queue discipline, {\it Annals Appl. Probl.} {\bf 11} (2000) 332.
\item Fonseca, I., S. M\"uller, and G. Leoni, $\mathcal{A}$-quasiconvexity: weak-star convergence and the gap, {\it Ann. Inst. Henri Poincar\'e}, Submitted.
\item Fonseca, I., G. Leoni, and R. Paroni, On Hessian Matrices in the Space $BH$, {\it Communications in Contemporary Math.}, Submitted.
\item Fonseca, I., G. Leoni, and R. Paroni, On lower semicontinuity in $BH^p$ and 2-quasiconvexification, {\it Calc. of Var.}
\item Fonseca, I. and E. Zappale,  Multiscale relaxation of convex functionals, {\it J. Convex Analysis} {\bf 10} (2003) 2.
\item Fonseca, I., G. Leoni, J. Maly, and R. Paroni, A note on Meyer's theorem, {\it Trans. A.M.S.} {\bf 354}  (2002) 3723.
\item Fonseca, I. and G. Leoni, On lower semicontinuity and relaxation, {\it Proc. Royal Soc. Edin.} {\bf 131} (2001) 519.
\item Fonseca, I. and G. Leoni, Some remarks on lower semicontinuity, {\it Indiana University Mathematics Journal} {\bf 49} (2000) 617.
\item Fonseca, I. and G. Leoni, Relaxation results in micromagnetics, {\it Richerche Mat.} {\bf 49} (2000) 269.
\item Fonseca, I. and G. Leoni, Bulk and contact energies: relaxation and nucleation, {\it SIAM J. Math. Anal.} {\bf 30} (1999) 190.
\item Fonseca, I. and S. M\"uller, A-quasiconvexity: a necessary and sufficient condition for lower semicontinuity under PDE constraints, {\it SIAM J. Math. Anal.} {\bf 30} (1999) 1355.
\item Fonseca, I., J. Schaeffer, and M. Shvartsman, Oscillations in one-dimensional elasticity with surface energy, {\it Quarterly of Applied Mathematics} {\bf 3} (1999) 475.\item Fonseca, I., S. M\"uller, and P. Pedregal, Analysis of concentration and oscillation effects generated by gradients, {\it SIAM J. Mathematical Analysis} {\bf 29} (1998) 736-756.
\item Fried, E. and M.E. Gurtin, A unified treatment of evolving interfaces with deformation and atomic transport:  grain-boundaries, evaporation-condensation, epitaxy, coherency, {\it Advances in Applied Mechanics}.
\item Fried, E. and M. Gurtin, A void based description of segregation and compaction in flowing granular materials, {\it Continuum Mechanics and Thermodynamics}.
\item Fried, E. and M.E. Gurtin, The role of configurational force balance in the nonequilibrium epitaxy of films, {\it Journal of the Mechanics and Physics of Solids} {\bf 51} (2003) 487.
\item Fried, E. and M.E. Gurtin, Coherent solid-state phase transitions with atomic diffusion: a thermo-mechanical treatment, {\it J. Statist. Phys.} {\bf 95} (1999) 1361.
\item Heath, D., D. Kinderlehrer, and M. Kowalczyk, Discrete and continuous rachets: from coin toss to molecular motor, {\it Discrete and Cont. Dynamical Systems} {\bf 2} 2002 153.
\item K. Janecek and S. Shreve, Asymptotic analysis for optimal investment and consumption with transaction costs.  To be submitted.
\item Janecek, K. and S. Shreve, Asymptotic analysis for optimal investment and consumption with transaction costs, {\it Finance and Stochastics}.
\item Kinderlehrer, D., I. Livshits and S. Ta'asan, A variational approach to the simulation of grain growth, To be submitted.
\item Kinderlehrer, D. and M. Kowalczyk, Diffusion mediated transport and the flashing rachet, {\it Arch. Rat. Mech. Anal.} {\bf 161} (2002) 149.
\item Kinderlehrer, D., I. Livshits, D. Mason, and Ta'asan, The surface energy of MgO: multiscale reconstruction from thermal groove geometry, {\it Interface Science} {\bf 10} (2002) 233.
\item Kinderlehrer, D. and M. Kowalczyk, Remarks about diffusion mediated transport, {\it Ricerche Math.} {\bf 49} (2000) 305.
\item Jordan, R., D. Kinderlehrer,  and F. Otto, Dynamics of the Fokker-Planck Equation, {\it Phase Transitions} {\bf 69} (1999) 271.
\item Kinderlehrer, D. and D. Mason, Incoherence at heterogeneous interfaces, {\it J. Mech. Phys. Solids} {\bf 47} (1999) 271.
\item Jordan, R., D. Kinderlehrer, and F. Otto, The variational formulation of the Fokker-Planck Equation, {\it SIAM J. Math Anal.} {\bf 29.1} (1998) 1-17.
\item Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Earliest-deadline-first service in heavy-traffic acyclic networks. To be submitted.
\item Kruk, L., J. Lehoczky, S. Shreve, and S.-N. Yeung, Multiple-input heavy-traffic real-times queues, {\it Annals Proba.} {\bf 13} (2003) 54.
\item Kurzke, M., and M.O. Rieger, A relaxed model for step-terraces on crystalline surfaces, {\it Journal of Convex Analysis}.
\item Leoni, G., and  M. Morini, Some remarks on the analyticity of minimizers of free discontinuity problems, {\it Journal de Mathematiques Pures et Appliquees}.
\item Liu, C. and N. Walkington, Mixed methods for the approximation of liquid crystal flows, {\it Math. Modeling and Numer. Anal.} {\bf 36} (2002) 205.
\item Morini, M. and M. Rieger, On a volume constrained variational problem with lower order terms, {\it Applied Mathematics and Optimization}.  Submitted.
\item Morini, M. and M. Negri, Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies, {\it Mathematical Models and Methods in Applied Sciences (M3AS)}.
\item Morini, M. and M.O. Rieger, The Gamma-limit of variational problems with volume constraints, to be submitted.
\item M\"uller, S., M.O. Rieger, and V. Sverak, Parabolic systems with nowhere smooth solutions, {\it Arch. Rat. Mech. Anal.}
\item Nicolaides, N. and K. Trapp, Higher order covolume approximation of Maxwell's equations, to be submitted.                      
\item Rieger, M.,  Exponential stability and global existence in thermoelasticity with radial symmetry, {\it Quarterly of Applied Mathematics}.  Submitted.
\item Rieger, M. O. and J. Zimmer, Global existence for nonconvex thermoelasticity, {\it SIMA}.
\item Schmock, U., S. Shreve, and W. Wystup, Valuation of exotic options under shortselling constraints, {\it Finance and Stochastics} {\bf 6} (2002) 143.
\item Sirbu, M., I. Pikovsky, and S. Shreve, Perpetual convertible bonds {\it SIAM Journal on Control and Optimization}.
\end{enumerate}

