Amy Novick-Cohen’s Partial Publication List

Last Update: December 21, 2023

• Eric A. Carlen, Amy Novick-Cohen, and Lydia Peres Hari, Connecting the Deep Quench Obstacle Problem with Surface Diffusion via their Steady States, for the Proceedings of PSPDE X, Springer (2023). 
• Amy Novick-Cohen, Daniel Goldberg, Katrine Golubkov, Rawan Tarabeh , Modeling multi-grain multi-hole thin solid state films for the Proceedings of CMDS14, Springer (2023).  

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• A. Novick-Cohen, O. Zelekman-Smirin & A. Vilenkin, The effects of grain grooves on grain boundary migration in nano-films, Acta Mater.
• The effects of grain grooves on grain boundary migration in nanofilms53, 813-822 (2010). (.pdf file)
• A. Novick-Cohen & A. Shishkov, Upper bounds for coarsening for the degenerate Cahn-Hilliard equation, DCDS-A, 251-272 (2009). (.pdf file)
• A. Novick-Cohen, The Cahn-Hilliard Equation, pages 201-228 in Handbook of Differentail equations. IV Evolutionary Partial Differential Equations, Editors: C. Dafermos and M. Pokorny, Elsevier 2008. (.pdf file)
• A. Novick-Cohen & A. Shishkov, Upper bounds for coarsening: temperature and concentration dependence, pp 547-463 in the Proceedings of MS&T 2008. (.pdf file)
• A. Novick-Cohen, The Cahn-Hilliard equation with constant and degenerate mobility, pp 63-86 in the ”Proceedings of CMDS11″ editors: S. Forest and D. Jeulin, ParisTech 2008.
• A. Vilenkin & A. Novick-Cohen, Grain boundary migration in thin-film: the effects of grain grooves in nano-films, in ”Proceedings,
• AES-ATEMA’ 2007 International Conference,” Montreal, August 6-10, 2007, pp 127-134. (.pdf file)
• A. Novick-Cohen & A. Shishkov, The thin film equation with “backwards” forcing, submitted, (pdf file)

• A. Novick-Cohen, Upper bounds for coarsening for the deep quench obstacle problem,  J.Stat.Phys., accepted,
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Numerical analysis of a 3D radially symmetric grain attached to a free crystal surface, Acta Mat., 54, 2589-2595 (2006). (.pdf file)
• M. Grinfeld & A. Novick-Cohen, Some remarks on stability for a phase field model with memory, DCDS-A 15, 1089-1117 (2006). (.pdf file)
• E. Minkov & A. Novick-Cohen, An errata for: A droplet profile under the influence of van der Waals forces, EJAM, 17, 128 (2006). (.pdf file)
• A. Novick-Cohen, Wetting and prewetting of anti-phase boundaries, Meccanica 40 (2005) 471-483. (.ps file)
• A. Novick-Cohen & L. Peres-Hari, Geometric motion for a degenerate Allen-Cahn/Cahn-Hilliard equation, the partial wetting case, Physica D 209 (2005) 205-235. (.pdf file)
• A. Novick-Cohen & L. Peres-Hari, Coupled surface diffusion and motion by mean curvature, in the Proceedings of “Materials Science and Technology 2005” in the minisymposium “Integration of Theoretical, Computational and Experimental Studies of Interfaces and Microstructural Evolution,” pp 27-37. (.pdf file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Numerical analysis of a 3D radially symmetric shrinking grain attached to a free crystal surface, in the Proceedings of “Materials Science and Technology 2005” in the minisymposium “Integration of Theoretical, Computational and Experimental Studies of Interfaces and Microstructural Evolution,” pp 99-105. (.pdf file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Numerical analysis of a 3D radially symmetric grain attached to a free crystal surface, Acta Mat., 54, 2589-2595 (2006). (.pdf file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Coupled surfaces and grain boundary motion: a travelling wave solution, Nonlinear Analysis TMA. 59 (2004) 1267-1292. (.pdf file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Coupled surface and grain boundary motion: nonclassical traveling wave solutions, Adv. Diff. Eqns. 9 (2004) 299-327. (.ps file)
• A. Novick-Cohen, A phase field system with memory: stability and damped oscillations, for the “Proceedings of the 10th International Symposium” (CMDS10), Shoresh, Israel, editors: E. Inan & D. Bergman, Kluwer, to appear.(.ps file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, A traveling wave solution for coupled surface and grain boundary motion, Acta Mater. 51 (2003) 1981-1989. (.ps file)
• J. Kanel, A. Novick-Cohen & A. Vilenkin, Coupled surface and grain boundary motion in bicrystals, in “Diffusion, Segregation and Stresses in Materials, Defect and Diffusion Forum,” Materials Science Forum, 216-219 (2002) 299-305. (.ps file)
• D. Eyre, M. Grinfeld & A. Novick-Cohen, “The PDE Cahn-Hilliard equation: phase separation and coarsening,” for “The Coffee Table Book,” editor: N. Trefethen, in preparation. (.ps file)
• A. Novick-Cohen, A phase field system with memory: global existence, accepted JIEA. (.ps file)
• Rotstein, H.G., Brandon, D., Novick-Cohen, A. & Nepomnyashchy, A., Phase field equations with memory: the hyperbolic case, SIAM J. Appl. Math. 62 (2001) 264-282.(.ps file)
• Novick-Cohen, A., A phase-field system with memory: global existence, in Proceedings of the RIMS Meeting of Free Boundary Problems, RIMS, Kyoto University, Kyoto, Japan, 2000, pp 129-141.(.ps file)
• Minkov, E. & Novick-Cohen, A., Droplet profiles under the influence of van der Waals forces, Euro. Jnl of Applied Mathematics 12 (2001) 367-393. (.ps file)
• Cahn, J.W. & Novick-Cohen, A.,Motion by Curvature and Impurity Drag: Resolution of a Mobility Paradox, Acta mater. 48 (2000) 3425-3440. (.pdf file)
• Novick-Cohen, A., Triple-junction motion for an Allen-Cahn/Cahn-Hilliard system. Phys. D 137 (2000), no. 1-2, 1–24. (.ps file)
• Dal Passo, R., Giacomelli, L. & Novick-Cohen, A., Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Interf. and Free Boundaries 1 (1999) 199–226. (.ps file)
• Garcke, H. & Novick-Cohen, A., A singular limit for a system of degenerate Cahn-Hilliard equations. Adv. Diff. Eqns. 5 (2000) 401–434. (.ps file)
• Novick-Cohen, A., Order-disorder and phase separation: modeling grain sintering. Continuum models and discrete systems (Istanbul, 1998), 56–68, World Sci. Publishing, River Edge, NJ, 1998. (.ps file)
• Grinfeld, M. & Novick-Cohen, A., The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor. Trans. Amer. Math. Soc. 351 (1999), no. 6, 2375–2406.
• Colli, Pierluigi, Gilardi, Gianni, Laurençot, Philippe & Novick-Cohen, Amy, Uniqueness and long-time behavior for the conserved phase-field system with memory. Discrete Contin. Dynam. Systems 5 (1999), no. 2, 375–390.
• Rotstein, H., Nepomnyashchy, A. & Novick-Cohen, A., Hyperbolic non-conserved phase field equations, J. Crystal Growth 198/199 (1999) 1256-1261.
• Rotstein, H., Brandon, D. & Novick-Cohen, A., Hyperbolic flow by mean curvature, J. Crystal Growth 198/199 (1999) 1262-1266.
• Novick-Cohen, A., The Cahn-Hilliard equation: mathematical and modeling perspectives. Adv. Math. Sci. Appl. 8 (1998), no. 2, 965–985.
• Novick-Cohen, A., A Stefan/Mullins-Sekerka type problem with memory. J. Integral Equations Appl. 9 (1997), no. 2, 113–141.
• Rotstein, Horacio G., Novick-Cohen, Amy & Tannenbaum, Rina Gelation and cluster growth with cluster-wall interactions. J. Statist. Phys. 90 (1998), no. 1-2, 119–143.
• Cahn, J. W. & Novick-Cohen, A., Limiting motion for an Allen-Cahn/Cahn-Hilliard system. Free boundary problems, theory and applications (Zakopane, 1995), 89–97, Pitman Res. Notes Math. Ser., 363, Longman, Harlow, 1996.
• Cahn, J. W., Elliott, C. M. & Novick-Cohen, A. The Cahn-Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature. European J. Appl. Math. 7 (1996), no. 3, 287–301. (.ps file)
• Kitron-Belinkov, Myra, Novick-Cohen, Amy & Liron, Nadav, A slip condition based on minimal energy dissipation. Math. Models Methods Appl. Sci. 6 (1996), no. 4, 467–480.
• Novick-Cohen, A. & Zheng, Songmu The Penrose-Fife-type equations: counting the one-dimensional stationary solutions. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 3, 483–504.
• Brochet, D., Hilhorst, D. & Novick-Cohen, A. Maximal attractor and inertial sets for a conserved phase field model. Adv. Differential Equations 1 (1996), no. 4, 547–578.
• Cory, H., Novick-Cohen, A. & Levy, D., A variational expression for the propagation coefficient of an electromagnetic wave propagating along a closed rectangular chirowaveguide, IEE Proc.-Microw. Antennas Propag. 143 (1996) 287-301.
• Novick-Cohen, A. Conserved phase-field equations with memory. Curvature flows and related topics (Levico, 1994), 179–197, GAKUTO Internat. Ser. Math. Sci. Appl., 5, 1995.
• Grinfeld, M. & Novick-Cohen, A. Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments. Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), no. 2, 351–370.
• Novick-Cohen, A. & Grinfeld, M. Counting the stationary states of the Sivashinsky equation. Nonlinear Anal. 24 (1995), no. 6, 875–881.
• Cahn, J.W. & Novick-Cohen, A.; Evolution equations for phase separation and ordering in binary alloys, J. Stat. Phys. 76 (1994) 877-909.
• Novick-Cohen, A. Blow up and growth in the directional solidification of dilute binary alloys. Appl. Anal. 47 (1992), no. 4, 241–257.
• Novick-Cohen, A,, A singular minimization problem for droplet profiles. European J. Appl. Math. 4 (1993), no. 4, 399–418.
• Novick-Cohen, A. & Peletier, L. A. Steady states of the one-dimensional Cahn-Hilliard equation. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), no. 6, 1071–1098.
• Novick-Cohen, A. & Peletier, L. A. The steady states of one-dimensional Sivashinsky equations. Quart. Appl. Math. 50 (1992), no. 4, 759–777.
• Novick-Cohen, Amy, On a minimization problem arising in wetting. SIAM J. Appl. Math. 52 (1992), no. 3, 593–613.
• Novick-Cohen, A., On Cahn-Hilliard type equations. Nonlinear Anal. 15 (1990), no. 9, 797–814.
• Novick-Cohen, A. & Peletier, L. A., The steady states of one-dimensional Sivashinsky equations. Appl. Math. Lett. 4 (1991), no. 3, 69–71.
• Novick-Cohen, A., Instability of periodic states for the Sivashinsky equation. Quart. Appl. Math. 48 (1990), no. 2, 217–224.
• Novick-Cohen, A. & Pego, R. L., Stable patterns in a viscous diffusion equation. Trans. Amer. Math. Soc. 324 (1991), no. 1, 331–351.
• Novick-Cohen, Amy, Energy methods for the Cahn-Hilliard equation. Quart. Appl. Math. 46 (1988), no. 4, 681–690.
• Novick-Cohen, A. & Sivashinsky, G. I., On the solidification front of a dilute binary alloy: thermal diffusivity effects and breathing solutions. Phys. D 20 (1986), no. 2-3, 237–258.
• Novick-Cohen, Amy & Segel, Lee A., Nonlinear aspects of the Cahn\mhy Hilliard equation. Phys. D 10 (1984), no. 3, 277–298.
• Brochet, D., Hilhorst, D. & Novick-Cohen, A., Finite-dimensional exponential attractor for a model for order-disorder and phase separation. Appl. Math. Lett. 7 (1994), no. 3, 83–87.
• Novick-Cohen, A. & Peletier, L. A., The steady states of the one-dimensional Cahn-Hilliard equation. Appl. Math. Lett. 5 (1992), no. 3, 45–46.
• Novick-Cohen, A., On the viscous Cahn-Hilliard equation. Material instabilities in continuum mechanics (Edinburgh, 1985–1986), 329–342, Oxford Sci. Publ., Oxford Univ. Press, New York, 1988.
• Hyman, J.M., Novick-Cohen, A. & Rosenau, P., Asymptotic equations for directional solidification: exponential nonlinearities, Phys. Rev. B27 (1988) 7603-7608.
• Novick-Cohen, A., Asymptotic equations in directional solidification, Physica 23D (1986) 118-121.
• Novick-Cohen, A. & Sivashinsky, G.I., Hydrodynamic instabilities in flame fronts: breathing solutions, Combustion Sci. and Tech. 46 (1986) 109-111.
• Frisch, H.L. & Novick-Cohen, A., Diffusion from a sessile aerosol droplet through a membrane, J. Colloid and Interfacial Sci. 104 (1985) 285-287.
• Novick-Cohen, A., The nonlinear Cahn-Hilliard equation: transition from spinodal decomposition to nucleation behavior, J. Stat. Phys. 38 (1985) 707-723.
• Novick-Cohen, A. & Segel, L.A., A gradually travelling band of chemotactic bacteria, J. Math. Biology 19 (1984) 125-132.