Preprints and publications since 1998
X. Li and R.V. Kohn, "Some results on the Guest-Hutchinson modes and periodic mechanisms
of the Kagome lattice metamaterial," J Mech Phys Solids 178 (Sept 2023) 105311;
published version, arxiv version
Z. Wang and R.V. Kohn, "A new approach to drifting games, based on asymptotically optimal
potentials," arxiv
V.A. Kobzar and R.V. Kohn, "A PDE-based analysis of the symmetric two-armed Bernoulli bandit,"
arxiv
S. Conti, R.V. Kohn, and O. Misiats, "An energy minimization approach to twinning with variable volume
fraction," J Elasticity, 30 Nov 2022; published version (open access)
R.V. Kohn and R. Venkatraman, "Complex analytic dependence on the dielectric permittivity in ENZ materials:
the photonic doping example," Comm Pure Appl Math 77(2), 2024, 1278-1301; published version; arxiv version
S. Conti, R.V. Kohn, and O. Misiats, "Energy minimizing twinning with variable volume fraction, for two
nonlinear elastic phases with a single rank-one connection," Math. Models Methods Appl. Sci. 32 (2022) 1671-1723,
published version, preprint version
N. Drenska and R.V. Kohn, "A PDE approach to the prediction of a binary sequence
with advice from two history-dependent experts," Comm. Pure Appl. Math. 76(4) 2023, 843-897,
published version, preprint version
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 First Mathematical and Scientific Machine Learning (MSML 2020),
J. Lu and Rachel Ward eds, Proc Machine Learning Research 107:537-554, 2020,
published version, arxiv version.
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.
Published version, errata.
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