## Google Scholar profile for Robert V. Kohn

## Preprints and publications since 1998

N. Drenska and R.V. Kohn, "A PDE approach to the prediction of a binary sequence with advice from two history-dependent experts," submitted. Available at arxiv J. Lee-Thorp, A.G. Shtukenberg, and R.V. Kohn, "Crystal growth inhibition by mobile randomly distributed stoppers," Crystal Growth and Design 20(3), 2020, 1940-1950, published version, authors' prepublication version V. Kobzar, R.V. Kohn, and Z. Wang, "New potential-based bounds for the geometric-stopping version of prediction with expert advice," to appear in Proc Mathematical and Scientific Machine Learning (MSML 2020). Available at arxiv V. Kobzar, R.V. Kohn, and Z. Wang, "New potential-based bounds for prediction with expert advice," in Proc 33rd Conf on Learning Theory (COLT 2020), J. Abernethy and S. Agarwal eds, Proc Machine Learning Research 125:2370-2405, 2020. Also at arxiv ` N. Drenska and R.V. Kohn, "Prediction with expert advice: a PDE perspective," J Nonlin Sci 30, 2020, 137-173, pdf R.V. Kohn, "A few of Louis Nirenberg's many contributions to the theory of partial differential equations," in The Abel Prize 2013-2017, H. Holden and R. Piene eds, Springer-Verlag, 2019, 501-528, pdf J. Lee-Thorp, A. Shtukenberg, and R.V. Kohn, "Effect of step anisotropy on crystal growth inhibition by immobile impurity stoppers," Crystal Growth and Design 17(10), 2017, 5474-5487, article pdf, suppl info pdf R.V. Kohn and E. O'Brien, "The wrinkling of a twisted ribbon," J Nonlin Sci 28, 2018, 1221-1249, pdf R. Drori, M. Holmes-Cerfon, B. Kahr, R.V. Kohn, and M.D. Ward, "Dynamics and unsteady morphologies at ice interfaces driven by D_2O-H_2O exchange," Proc Nat'l Acad Sci 114, 2017, 11627-11632, pdf P. Bella and R.V. Kohn, "Wrinkling of a thin circular sheet bonded to a spherical substrate," Phil Trans Roy Soc A 375, 2017(2093), 20160157 pdf R.V. Kohn and E. O'Brien, "On the bending and twisting of rods with misfit, J Elasticity 130, 2018, 115-143, pdf P. Bella and R.V. Kohn, "The coarsening of folds in hanging drapes," Comm Pure Appl Math 70(5), 2017, 978-1021, pdf R.V. Kohn and B. Wirth, "Optimal fine-scale structures in compliance minimization for a shear load," Comm Pure Appl Math 69(8), 2016, 1572-1610, pdf R.V. Kohn and B. Wirth, "Optimal fine-scale structures in compliance minimization for a uniaxial load," Proc R Soc A 470, 2014, 20140432, pdf J. Bedrossian and R.V. Kohn, "Blister patterns and energy minimization in compressed thin films on compliant substrates," Comm Pure Appl Math 68, 2015, 472-510, pdf R.V. Kohn, J. Lu, B. Schweizer, and M.I. Weinstein, "A variational perspective on cloaking by anomalous localized resonance," Comm Math Phys 328 (2014) 1-27, pdf P. Bella and R.V. Kohn, "Metric-induced wrinkling of a thin elastic sheet," J Nonlin Sci 24 (2014) 1147-1176, pdf J.S. Brandman, R.V. Kohn, and H.-M. Nguyen, "Energy scaling laws for conically constrained thin elastic sheets," J. Elasticity 113, 2013, 251-264, pdf P. Bella and R.V. Kohn, "Wrinkles as the result of compressive stresses in an annular thin film," Comm Pure Appl Math 67 (2014) 693-747, pdf R.V. Kohn and H.-M. Nguyen, "Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law," J Nonlin Sci 23, 2013, 343-362, pdf H. Knuepfer, R.V. Kohn, and F. Otto, "Nucleation barriers for the cubic-to-tetragonal transformation," Comm Pure Appl Math 66, 2013, 867-904, pdf R.V. Kohn, "Viewpoint: Irreversibility and the statistics of grain boundaries," Physics 4, 33 (2011) pdf (A commentary on the article "Critical events, entropy, and the grain boundary character distribution," by K. Barmak et al, Phys Rev B 83, 2011, 134117) R.V. Kohn, "Surface relaxation below the roughening temperature: some recent progress and open questions", in Nonlinear Partial Differential Equations: The Abel Symposium 2010, H. Holden and K. Karlsen eds, Springer-Verlag 2012, 207-222 pdf H. Al Hajj Shehadeh, R.V. Kohn, and J. Weare, "The evolution of a crystal surface: analysis of a 1D step train connecting two facets in the ADL regime," Physica D 240, 2011, 1771-1784 pdf H. Knuepfer and R.V. Kohn, "Minimal energy for elastic inclusions," Proc Roy Soc A 467, 2011, 695-717 pdf Y. Giga and R.V. Kohn, "Scale-invariant extinction time estimates for some singular diffusion equations," Discr Cont Dyn Sys A 30, 2011, 509-535 pdf R.V. Kohn, D. Onofrei, M.S. Vogelius, and M.I. Weinstein, "Cloaking via change of variables for the Helmholtz equation," Comm. Pure Appl. Math. 63, 2010, 973-1016 pdf R.V. Kohn and S. Serfaty, "A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations," Comm. Pure Appl. Math. 63, 2010, pp 1298--1350 pdf M. Cameron, R.V. Kohn, and E. Vanden-Eijnden, "The string method as a dynamical system," J. Nonlin. Sci. 21, 2011, 193-230 pdf R.V. Kohn and H. Versieux, "Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature," SIAM J. Numer. Anal. 48, 2010, 1781-1800 pdf X. Chen and R.V. Kohn, "Asset price bubbles from heterogeneous beliefs about mean reversion rates," Finance and Stochastics 15, 2011, 221-241 pdf and a short erratum R.V. Kohn and S. Serfaty, "Second-order PDE's and deterministic games," in 6th Int'l Congr. on Industr. and Appl. Math. -- Zurich, Switzerland, 16-20 July 2007 -- Invited Lectures, R. Jeltsch and G. Wanner eds, Euro Math Soc (2009) pp 239--249 pdf P. Heider, D. Berebichez, R.V. Kohn, and M.I. Weinstein, "Optimization of scattering resonances," Structural and Multidisciplinary Optimization 36 (2008) 443-456 pdf R.V. Kohn and S.P. Shipman, "Magnetism and the homogenization of micro-resonators," Multiscale Modeling and Simulation 7 (2008) 62-92 pdf R.V. Kohn, H. Shen, M.S. Vogelius, and M.I. Weinstein, "Cloaking via change of variables in electric impedance tomography," Inverse Problems 24 (2008) 015016 (21pp) pdf R.V. Kohn, "Energy-driven pattern formation," in Proceedings of the International Congress of Mathematicians, Madrid, August 22-30, 2006, M. Sanz-Sole, J. Soria, J.L. Varona, and J. Verdera eds (2007) vol 1, pp 359-384 pdf B. Bourdin and R.V. Kohn, "Optimization of structural topology in the high-porosity regime," J. Mech. Phys. Solids 56 (2008) 1043-1064 pdf R. Choksi, S. Conti, R.V. Kohn, and F. Otto, "Ground state energy scaling laws during the onset and destruction of the intermediate state in a type-I superconductor," Comm. Pure Appl. Math. 61 (2008) 595-626 pdf D. Margetis and R.V. Kohn, "Continuum theory of interacting steps on crystal surfaces in 2+1 dimensions," Multiscale Modeling and Simulation 5 (2006) 729-758 pdf R.V. Kohn and V.V. Slastikov, "Geometrically constrained walls," Calc. of Var. and PDE 28 (2007) 33-57 pdf R.V. Kohn, M.G. Reznikoff, and Y. Tonegawa, "The sharp interface limit of the action functional for Allen Cahn in one space dimension, Calc. Var. PDE 25 (2006) 503-534 pdf R.V. Kohn, F. Otto, M.G. Reznikoff, and E. Vanden-Eijnden, "Action minimization and sharp interface limits for the stochastic Allen-Cahn equation, Comm. Pure Appl. Math. 60 (2007) 393-438 pdf A. Desimone, R.V. Kohn, S. Mueller, and F. Otto, "Recent analytical developments in micromagnetics," in The Science of Hysteresis II: Physical Modeling, Micromagnetics, and Magnetization Dynamics, G. Bertotti and I. Mayergoyz eds., Elsevier 2006, 269-381 pdf R.V. Kohn, M.G. Reznikoff, and E. Vanden-Eijnden, "Magnetic elements at finite temperature and large deviation theory," J. Nonlinear Science 15 (2005) 223-253 pdf R.V. Kohn and O.M. Papazoglu, "On the equivalence of the static and dynamic asset allocation problems," Quantitative Finance 6 (2006) 173-183 pdf R.V. Kohn and S. Serfaty, "A deterministic-control-based approach to motion by curvature," Comm. Pure Appl. Math 59 (2006) 344-407 pdf R.V. Kohn and V.V. Slastikov, "Effective dynamics for ferromagnetic thin films: a rigorous justification," Proc. Roy. Soc. London Ser. A, 460 (2004) 1-12 pdf R.V. Kohn and V.V. Slastikov, "Another thin-film limit of micromagnetics," Archive for Rational Mechanics and Analysis 178 (2005) 227-245, pdf R.V. Kohn and X. Yan, "Coarsening rates for models of multicomponent phase separation," Interfaces and Free Boundaries 6 (2004) 135-149, pdf R. Choksi, R.V. Kohn, and F. Otto, "Energy minimization and flux domain structure in the intermediate state of a type-I superconductor," J. Nonlinear Science 14 (2004) 119-171, pdf R.V. Kohn and X. Yan, "Upper bounds on the coarsening rate for an epitaxial growth model," Comm. Pure App. Math. 56 (2003) no. 11, 1549-1564 pdf A. Garroni and R.V. Kohn, "Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity," Proc. Roy. Soc. London Ser. A 459 (2003) 2613-2625 pdf A. Desimone, R.V. Kohn, S. Mueller, and F. Otto, "Repulsive interaction of Neel walls, and the internal length scale of the cross-tie wall," Multiscale Modeling and Simulation 1 (2003) 57-104 pdf R.V. Kohn, T.S. Lo, and N.K. Yip, "Continuum Limit of a Step Flow Model of Epitaxial Growth," Materials Research Society Symp. Proc. vol 696, 2002, pp. T1.7.1-T1.7.7 pdf A. DeSimone, R.V. Kohn, S. Mueller, and F. Otto, "A reduced theory for thin-film micromagnetics," Comm. Pure Appl. Math. 55 (2002) 1408-1460 pdf R.V. Kohn and F. Otto, "Upper bounds on coarsening rates," Comm. Math. Phys. 229 (2002) 375-395 pdf T.S. Lo and R.V. Kohn, "A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current," Physica D 161 (2002) 237-257 pdf A. DeSimone, R.V. Kohn, S. Mueller, F. Otto, and R. Schaefer, "Two dimensional modeling of soft ferromagnetic films," Proc. Roy. Soc. London 457A (2001) 2983-2991 pdf A. DeSimone, R.V. Kohn, S. Mueller, and F. Otto, "A compactness result in the gradient theory of phase transitions," Proc. Roy. Soc. Edinburgh Sect. A, 131 (2001) 833-844 pdf D. Schryvers, P. Boullay, P.L. Potapov, R.V. Kohn, and J.M. Ball, "Microstructures and interfaces in Ni-Al martensite: comparing HRTEM observations with continuum theories," Int. J. Solids Structures 39 (2002) 3543-3554 Ph. Boullay, D. Schryvers, and R.V. Kohn, "Bending martensite needles in Ni_64AL_35 investigated by two-dimensional elasticity and high-resolution transmission electron microscopy," Phys. Rev. B 64, 144105 (2001) W. Jin and R.V. Kohn, "Singular perturbation and the energy of folds," J. Nonlinear Science 10 (2000) 355-390 R.V. Kohn and B. Niethammer, "Geometrically nonlinear shape-memory polycrystals made from a two-variant material," MMAN 34 (2000) 377-398 T. Schulze and R.V. Kohn, "A geometric model for coarsening during spiral mode growth of thin films," Physica D 132 (1999) 520-542 K. Bhattacharya, R.V. Kohn, and S. Kozlov, "Some examples of nonlinear homogenization involving nearly degenerate energies," Proc. Roy. Soc. London 455A (1999) 567-583 R. Choksi, R.V. Kohn, and F. Otto, "Domain branching in uniaxial ferromagnets: a scaling law for the minimum energy," Comm. Math. Phys. 201 (1999) 61-79 R. Choksi and R.V. Kohn, "Bounds on the micromagnetic energy of a uniaxial ferromagnet," Comm. Pure Appl. Math. 51 (1998) 259-289 T. Little and R.V. Kohn, "Some model problems of polycrystal plasticity with deficient basic crystals," SIAM J. Appl. Math. 59 (1998) 172-197 T.-L. Liu, D. Geiger, and R.V. Kohn, "Representation and self-similarity of shapes", Int'l Conf. Computer Vision, Bombay, 1998 pdf