On Cloaking, Anomalous Resonance, and Superlenses
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Further comments on Mark Stockman's article
"Criterion for Negative Refraction with Low Optical Losses
from a Fundamental Principle of Causality (2020) , with A. Srivastava
ArXiv Version .
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A review of anomalous resonance, its associated
cloaking, and superlensing (2020) , with R. C. McPhedran
ArXiv Version .
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Bounds on Herglotz functions and fundamental limits
of broadband passive quasi-static cloaking (2017)
, with M. Cassier
ArXiv Version .
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Sensitivity of anomalous localized
resonance phenomena with respect to dissipation (2016)
, with T. Meklachi, D. Onofrei, A. E. Thaler, and G. Funchess
ArXiv Version .
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Spectral theory of a Neumann-Poincare-type operator and
analysis of cloaking due to anomalous localized
resonance II (2014)
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .
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Anomalous localized resonance using a folded geometry in three dimensions (2013)
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .
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Spectral theory of a Neumann-Poincare-type operator and analysis
of cloaking due to anomalous localized resonance (2013)
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .
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Mathematical analysis of the two dimensional active exterior
cloaking in the quasistatic regime (2012)
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .
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Exterior cloaking with active
sources in two dimensional acoustics (2011)
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .
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Broadband exterior cloaking (2009)
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .
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Active exterior cloaking for the
2D Laplace and Helmholtz equations (2009)
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .
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Cloaking by plasmonic resonance among systems of
particles: cooperation or combat? (2009)
, with R. C. McPhedran, N.-A. P. Nicorovici, and L.C.Botten.
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Solutions in folded geometries, and associated cloaking due to
anomalous resonance (2008)
, with N.-A. P. Nicorovici, R. C. McPhedran, K. Cherednichenko, and Z. Jacob
ArXiv Version .
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Non-magnetic cloak with minimized
scattering (2007)
, with W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev
ArXiv Version .
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Quasistatic cloaking of two-dimensional
polarizable discrete systems by anomalous resonance (2007)
with N.A.Nicorovici, R.C.McPhedran, and L.C.Botten.
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Opaque perfect lenses (2007)
, with N.-A. P. Nicorovici and R. C. McPhedran
ArXiv Version .
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On cloaking for elasticity and physical equations with a
transformation invariant form (2006)
, with M. Briane and J. R. Willis.
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Partial resonances of three-phase
composites at long wavelengths (2006)
, with N.-A. P. Nicorovici, R. C. McPhedran, and L. C. Botten
ArXiv Version .
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On the cloaking effects associated
with anomalous localized resonance (2006)
, with N.-A. P. Nicorovici
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Optimizing the superlens:
manipulating geometry to enhance the resolution (2005)
, with V. A. Podolskiy and N. A. Kuhta .
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A proof of superlensing in the quasistatic regime, and limitations of
superlenses in this regime due to anomalous localized
resonance (2005)
, with N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy.
On the Hall Effect, and magnetotransport in composites
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Theory of the Hall effect in
three-dimensional metamaterials (2018) , with C. Kern, M. Kadic, and M. Wegener
ArXiv Version .
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Bounds on strong field magneto-transport in three-dimensional composites (2011)
, with M. Briane
ArXiv Version .
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New bounds on strong field magneto-transport in
multiphase columnar composites (2010)
, with M. Briane.
Hal.archives Version
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An antisymmetric effective Hall
matrix (2010)
, with M. Briane
Hal.archives Version .
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Giant Hall effect in composites (2009)
, with M. Briane.
Hal.archives Version .
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Homogenization of the three-dimensional Hall effect and
change of sign of the {Hall}-coefficient (2009)
, with M. Briane
Hal.archives Version .
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Homogenization of the two-dimensional Hall effect (2008)
, with M. Briane and D. Manceau.
Hal.archives Version .
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Reversal of the Hall coefficient
sign under homogenization (2007)
, with M. Briane.
On the possible elastic, mechanical, and elastodynamic
properties of metamaterials and composites
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Planar polycrystals with extremal bulk and
shear moduli (2021)
ArXiv Version .
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Stiff competition (2018)
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Near optimal pentamodes as a tool for guiding stress while minimizing compliance in 3d-printed materials:
a complete solution to the weak G-closure problem for
3d-printed materials (2018)
, with M. Camar-Eddine
ArXiv Version .
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Towards a complete characterization of the effective elasticity tensors
of mixtures of an elastic phase and an almost rigid
phase (2017)
, with M. Briane and D. Harutyunyan
ArXiv Version .
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On the possible effective elasticity tensors of 2-dimensional
and 3-dimensional printed materials (2017)
, with M. Briane and D. Harutyunyan
ArXiv Version .
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New examples of three-dimensional
dilational materials (2015)
,
ArXiv Version .
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Rigorous bounds on the effective moduli of composites and
inhomogeneous bodies with negative-stiffness phases (2014)
, with D. Kochmann
ArXiv Version .
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On three-dimensional dilational
elastic metamaterials (2014)
, with T. Buckmann, R. Schittny, M. Thiel, M. Kadic, and M. Wegener
ArXiv Version .
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Adaptable nonlinear bimode metamaterials
with rigid bars, pivots, and actuators (2013)
,
ArXiv Version .
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Complete characterization of the macroscopic
deformations of periodic unimode metamaterials of rigid
bars and pivots (2013)
,
ArXiv Version .
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A metamaterial having a frequency dependent
elasticity tensor and a zero effective mass density (2012)
, with P. Seppecher
ArXiv Version .
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New metamaterials with macroscopic behavior outside
that of continuum elastodynamics (2007)
,
ArXiv Version .
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On modifications of Newton's second law and linear
continuum elastodynamics (2007)
, with J. R. Willis.
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The total creep of viscoelastic composites under hydrostatic
or antiplane loading (2005)
with V. Vinogradov.
Bounds on the complex conductivity of composites
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Tight Bounds on the Effective Complex
Permittivity of Isotropic Composites and Related
Problems (2020)
, with C. Kern and O. Miller
ArXiv Version .
Space-time interfaces, microstructures and hyperbolic metamaterials
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An energy conserving mechanism for
temporal metasurfaces (2022)
, with K. Deshmukh
ArXiv Version .
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Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces (2022)
, with A.B. Movchan, N.V. Movchan, I.S. Jones, and H.M Nguyen
ArXiv Version .
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Field Patterns: A new type of wave with
infinitely degenerate band structure (2017)
, with O. Mattei
ArXiv Version .
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Field patterns without blow up (2017)
, with O. Mattei
ArXiv Version .
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Field Patterns: A New Mathematical
Object (2017)
, with O. Mattei
ArXiv Version .
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The searchlight effect in
hyperbolic materials (2013)
, with R. C. McPhedran and A. Sihvola
ArXiv Version .
Review of the subject of metamaterials
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3D metamaterials (2019)
, with M.Kadic, M. van Hecke, and M.Wegener
Leiden Repository Version .
Open problems
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Some open problems in the theory of
composites (2021)
ArXiv Version .
On FFT algorithms and other numerical results for composites
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Convergence of iterative methods based on
Neumann series for composite materials: theory and practice
(2018) ,
with H. Moulinec and P. Suquet
ArXiv Version .
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Spectral super-resolution in
metamaterial composites (2011)
, with J. Helsing and R. C. McPhedran
ArXiv Version .
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An accelerated FFT algorithm for
thermoelastic and nonlinear composites (2008)
, with V. Vinogradov.
Homogenization and approximations for effective moduli of
composites, and connections with Stieltjes functions
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A theory of composites perspective on
matrix valued Stieltjes functions (2023) with M. Putinar
ArXiv Version .
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Approximating the effective tensor as a
function of the component tensors in two-dimensional
composites of two anisotropic phases (2018)
ArXiv Version .
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High frequency homogenization for
travelling waves in periodic media (2016)
, with D. Harutyunyan and R. Craster
ArXiv Version .
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Effective conductivities of
thin-interphase composites (2013)
, with B. Alali
ArXiv Version .
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An effective medium theory for multi-phase matrix-based
dielectric composites with randomly oriented
ellipsoidal inclusions (2011)
, with Y. Benveniste.
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Realizability of metamaterials with prescribed
electric permittivity and magnetic permeability
tensors (2010)
,
ArXiv Version .
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The effective medium approximation and the average field approximation
vis-vis the Hashin-Shtrikman bounds in two-phase matrix-based composites. II The
generalized self-consistent scheme (2010)
, with Y. Benveniste
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The effective medium approximation
and the average field approximation vis-\'a-vis the
Hashin-Shtrikman bounds in two-phase
matrix-based composites. I The self-consistent scheme in matrix-based
composites (2010)
, with Y. Benveniste
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Non-local interactions in the homogenization closure of
thermoelectric functionals (2005)
, with M. Camar-Eddine.
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On optimizing the properties of hierarchical laminates using
Pontryagin's maximum principle (2005)
.
On realizability of fields in composites and bodies
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Isotropic realizability of current
fields in R^3 (2015)
, with M. Briane
Hal.archives Version .
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Which electric fields are realizable in conducting materials? (2014)
, with M. Briane and A. Treibergs
ArXiv Version .
On quasiconvexity, Q*-convenvexity, boundary field equalities and inequalities
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Exact relations for Green's functions in linear PDE and boundary field equalities: a generalization of conservation laws (2019), with D. Onofrei
ArXiv Version .
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A new route to finding bounds on the spectrum of many physical operators (2018),
ArXiv Version .
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Towards characterization of all 3 x
3 extremal quasiconvex quadratic forms (2017)
, with D. Harutyunyan
ArXiv Version .
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On the relation between extremal elasticity tensors with
orthotropic symmetry and extremal polynomials (2017)
, with D. Harutyunyan
ArXiv Version .
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Addendum to ``Sharp inequalities which generalize the divergence
theorem: an extension of the notion of quasi-convexity (2015)
,
ArXiv Version .
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Explicit examples of extremal quasiconvex quadratic
forms that are not polyconvex (2015)
, with D. Harutyunyan
ArXiv Version .
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Sharp inequalities which generalize the
divergence theorem: an extension of the notion of
quasi-convexity (2013)
,
ArXiv Version .
On Analytic Materials
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Analytic Materials (2016)
,
ArXiv Version .
On Variational Principles for Wave Equations in Lossy Media
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Bounds on complex polarizabilities and a
new perspective on scattering by a lossy inclusion (2017)
ArXiv Version .
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Minimum variational principles for time-harmonic
waves in a dissipative medium and associated variational
principles of Hashin-Shtrikman type (2010)
, with J. Willis
ArXiv Version .
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Minimization variational principles for acoustics,
elastodynamics, and electromagnetism in lossy
inhomogeneous bodies at fixed frequency (2008)
, with P. Seppecher and G. Bouchitte
ArXiv Version .
On Networks and Discrete Models
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The obstacle problem in no-tension
structures and cable nets (2023) ,
with A. Amendola, O. Mattei, and P. Seppecher
ArXiv Version .
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Limit analysis of strut nets (2022) ,
with A. Amendola, A. Fortunato, F. Fraternali, O. Mattei, and P. Seppecher
ArXiv Version .
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On the forces that cable webs under tension
can support and how to design cable webs to channel stresses
(2019) , with G. Bouchitte, O. Mattei, and P. Seppecher.
ArXiv Version .
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The set of forces that ideal trusses, or wire webs, under tension can support (2017)
ArXiv Version .
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Complete characterization and synthesis of the response
function of elastodynamic networks (2011)
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .
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Hybrid electromagnetic circuits (2010)
, with P. Seppecher
ArXiv Version .
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Electromagnetic circuits (2010)
, with P. Seppecher
ArXiv Version .
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Realizable response matrices of multi-terminal electrical,
acoustic and elastodynamic networks at a given
frequency (2008)
, with P. Seppecher
ArXiv Version .
On seismic isolators
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A biomimetic sliding–stretching
approach to seismic isolation (2021)
, with F. Fraternali, N. Singh, A. Amendola, and G. Benzoni.
On bounding the size inclusion in a body, or fields in
that inclusion, or the volume fraction in a composite
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Determining the volume fraction in 2-phase composites and bodies using time varying applied fields (submitted)
, with O. Mattei and M. Putinar
ArXiv Version .
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An extremal problem arising in the
dynamics of two-phase materials that directly reveals
information about the internal geometry (2022)
, with O. Mattei and M. Putinar
ArXiv Version .
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Criteria for guaranteed breakdown
in two-phase inhomogeneous bodies (2017)
, with P. Bardsley, M. S. Primrose, M. Zhao, J. Boyle, N. Briggs,
and Z. Koch
ArXiv Version .
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Bounds on the volume of an inclusion in a body from a
complex conductivity measurement (2015)
, with A. Thaler
ArXiv Version .
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Exact determination of the volume of an inclusion in a body
having constant shear modulus (2014)
, with A. Thaler
ArXiv Version .
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Bounds on the size of an inclusion using the translation method
for two-dimensional complex conductivity (2014)
, with H. Kang, K. Kim, H. Lee, and X. Li
ArXiv Version .
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Bounds on the volume fraction of the two-phase shallow shell
using one measurement (2014)
, with H. Kang and J.-N. Wang
ArXiv Version .
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Bounds on the volume fractions of two materials in a
three dimensional body from boundary measurements by the translation method (2013)
, with H. Kang
ArXiv Version .
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Bounds on the volume fraction of 2-phase, 2-dimensional
elastic bodies and on (stress, strain) pairs in composites (2012)
, with L. H. Nguyen
ArXiv Version .
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Universal bounds on the electrical
and elastic response of two-phase bodies and their
application to bounding the volume fraction from
boundary measurements (2012)
,
ArXiv Version .
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Sharp bounds on the volume fractions of two materials
in a two-dimensional body from electrical boundary
measurements: the translation method (2012)
, with H. Kang and E. Kim
ArXiv Version .
On the Polya-Szego and Eshelby conjectures, and inclusions
with uniform fields inside them
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Inclusions of General Shapes Having Constant Field Inside the Core and Non-Elliptical Neutral Coated Inclusions With Anisotropic Conductivity (2020)
, with M. Lim
ArXiv Version .
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Progress on the strong Eshelby's conjecture
and extremal structures for the elastic moment tensor (2010)
, with H. Ammari, Y. Capdeboscq, H. Kang, H. Lee, and H. Zribi
ArXiv Version .
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Inclusion pairs satisfying
Eshelby's uniformity property (2008)
, with H. Kang and E. Kim.
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Solutions to the Polya-Szego
conjecture and the weak Eshelby conjecture (2008)
, with H. Kang
ArXiv Version .
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On conjectures of Polya-Szego and
Eshelby (2006)
, with H. Kang.
On a unifying perspective on linear
equations in science
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A unifying perspective on linear
continuum equations prevalent in science. Part I:
Canonical forms for static, steady, and quasistatic
equations (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part II:
Canonical forms for time-harmonic equations (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part III:
Canonical forms for dynamic equations with moduli
that may, or may not, vary with time (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part IV:
Canonical forms for equations involving higher order
gradients (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part V:
Resolvents; bounds on their spectrum; and their
Stieltjes integral representations (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part VI:
Rapidly converging series expansions for their
solution (2020)
ArXiv Version .
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A unifying perspective on linear
continuum equations prevalent in science. Part VII:
Boundary value and scattering problems (2021)
ArXiv Version .
On climbing ropes
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On ideal dynamic climbing ropes (2016)
, with D. Harutyunyan, T. J. Dick, and J. Boyer
ArXiv Version .
On dark matter and dark energy in the universe
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A possible explanation of dark
matter and dark energy involving a vector torsion
field (2022)
,
ArXiv Version .