My curriculum vitae (in the PDF format)
Rigorous analysis of problems in mechanics and electromagnetism
Homogenisation of partial differential equations and integral functionals
Applications of homogenisation to the mechanics of composite materials
Scale interaction effects in the description of the behaviour of heterogeneous media
Wave propagation in solid mechanics and electromagnetism
Dissipative operator theory and functional models
Scattering theory for differential equations with inhomogeneities
Asymptotic methods for periodic media with rapidly oscillating properties and for high-frequency problems
Variational methods in the mechanics of media with a microstructure
Theories for the description of dislocations as agents of plastic flow
(with S. Cooper and S. Guenneau) Spectral analysis of one-dimensional high-contrast elliptic problems
with periodic coefficients. To appear in Multiscale Modeling and
Simulation: A SIAM Interdisciplinary Journal
Some analogues of the double-porosity models and the associated effect of micro-resonance.
Journal of Mathematical Sciences 176, 818--827 (2012)
(with M. Cherdantsev) Two-scale Γ-convergence of integral functionals and its application to homogenisation of nonlinear
high-contrast periodic composites. Archive for Rational Mechanics and Analysis 204, 445--478 (2012)
(with S. D. M. Adams, R. V. Craster and S. Guenneau) High-frequency spectral analysis of thin periodic acoustic strips: theory and numerics.
European Journal of Applied Mathematics 21(6), 557--590 (2010)
An approach to constitutive modelling of elasto-plasticity via ensemble averaging of the dislocation transport.
Journal of the Mechanics and Physics of Solids 58(5), 798--809 (2010)
(with N. F. Britton, C. Carrillo and M. Mogie) Dynamic coexistence of sexual
and asexual invasion fronts via a system of integro-difference equations. Bulletin of Mathematical Biology
71(7), 1612--1625 (2009)
(with F. J. Sabina)
On the existence of waves guided by a cavity in an elastic layer.
Quarterly Journal of Mechanics and Applied Mathematics 62(3), 221-233 (2009)
(with G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran and Z. Jacob)
Solutions in folded geometries and associated cloaking due to anomalous
resonance. New Journal of Physics 10(11), 115021 (2008)
(with S. Guenneau)
Bloch-wave homogenisation for spectral asymptotic analysis of the periodic Maxwell
operator. Waves in Random and Complex Media 17, 627--651 (2007)
Asymptotic expansion of the boundary-layer type for
flexural waves along the curved edge of a Kirchhoff-Love plate.
Nauchnykh Seminarov POMI, 332, 286--298 (2006), in Russian. English version
in: J. Math. Sci. (N. Y.) 142 (6), 2682--2688 (2007).
Two-scale asymptotics for non-local
effects in composites with highly anisotropic fibres.
Asymptotic analysis, 49, 39--59 (2006) .
On propagation of attenuated Rayleigh
along a fluid-solid interface of arbitrary shape. The
Quarterly Journal of Mechanics and Applied Mathematics 59,
(with V. P. Smyshlyaev and V. V. Zhikov) Non-local
homogenised limits for composite media with highly anisotropic periodic
Proceedings of the Royal Society of Edinburgh: Section A 136(1), 87--114 (2006).
On propagation of Scholte-Gogoladze
surface waves along a fluid-solid interface of arbitrary shape.
Nauchnykh Seminarov POMI 324, 229--247 (2005), in Russian. English version in:
J. Math. Sci. (N. Y.), 138(2), 5613--5622 (2006).
(with P. Padilla) On derivation of the
of states for periodic operators by the method of asymptotic expansion.
Proceedings of the Edinburgh Mathematical Society
48(1), 51-60 (2005).
(with V. P. Smyshlyaev) On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating
problems and higher-order homogenised variational problems.
Archive for Rational Mechanics and Analysis 174(3),
(with V. M. Babich) On a differential equation
with a singular point of regular type and a large parameter. Integral
Transforms and Special Functions 11(2), 101--112 (2001).
(with V. P. Smyshlyaev) On rigorous derivation
of strain gradient effects in the overall behaviour of
periodic heterogeneous media. Journal
of the Mechanics and Physics of Solids
48(6--7), 1325-1357 (2000).
(with V. M. Babich) On Fock's type asymptotics
of Legendre functions. Integral Transforms and Special
Functions 5(1--2), 1--18 (1997).
(with M. Cherdantsev and S. Neukamm) Homogenisation in finite elasticity for composites with a high contrast in the vicinity of
(with S. Cooper) Resolvent
estimates for high-contrast homogenisation problems.
Papers in preparation:
(with S. Cooper and S. Guenneau) Asymptotic analysis of systems of
periodic high-contrast Maxwell equations: the case of three-dimensional inclusions.
(with S. Cooper and S. Guenneau) On the existence of high-frequency boundary resonances in layered elastic media.
(with J. Evans) On a full two-scale asymptotic expansion and higher-order constitutive laws in homogenisation of Maxwell equations.
(with S. Cooper, S. Guenneau and R. Craster) ``High-frequency homogenisation'': a rigorous framework for two-scale behaviour of generalised eigenfunctions.
Employer: Cardiff School of
Mathematics, Cardiff University
Job Title: Senior Lecturer
Telephone: +44 2920 875540
Fax: +44 2920 874199
E-mail Address: email@example.com
Cardiff School of Mathematics