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

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