Journal articles:

  • (with Yu. Ershova, S. Naboko) Functional model for generalised resolvents and its application to time-dispersive media. To appear in Analysis and Mathematical Physics 25 pp. (2024)

  • (with Y. Ershova and A. Kiselev) Open Access: Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs. Mathematics 12(8), 79--177, 1161, 24 pp. (2024)

  • (with I. Velčić, J. Žubrinić) Open Access: Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast. Calculus of Variations and Partial Differential Equations. 62, Article number: 147 (2023).

  • (with Yu. Yu. Ershova, A. V. Kiselev, V. A. Ryzhov, L. O. Silva) Asymptotic analysis of operator families and applications to resonant media. Operator Theory: Advances and Applications, 291, 239--311 (2023). [arXiv version]

  • (with M. Bužančić, I. Velčić, J. Žubrinić) Open Access: Spectral and evolution analysis of composite elastic plates with high contrast. Journal of Elasticity 152, 79--177 (2022).

  • (with S. D'Onofrio) Open Access: Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures. Calculus of Variations and Partial Differential Equations 61(67), doi: 10.1007/s00526-021-02139-7, 41 pp. (2022).

  • (with A. Kiselev and L. Silva) Operator-norm resolvent asymptotic analysis of continuous media with low-index inclusions. Mathematical Notes 111(3--4), 373--387 (2022). [arXiv version]

  • (with I. Velčić) Open Access: Sharp operator-norm asymptotics for linearised elastic plates with rapidly oscillating periodic properties. Journal of the London Mathematical Society 105(3), 1634--1680 (2022).

  • (with A. Kiselev and L. Silva) Open Access: Functional model for boundary-value problems. Mathematika 67(3), 296--626 (2021).

  • (with A. V. Kiselev and L. O. Silva) Scattering theory for non-selfadjoint extensions of symmetric operators. Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov. Operator Theory: Advances and Applications 276, 194--230 (2020). [arXiv version]

  • (with Y. Ershova and A. Kiselev) Open Access: Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I. Communications in Mathematical Physics 375, 1833--1884 (2020).

  • (with Y. Ershova, A. Kiselev, and S. Naboko) Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media. Transactions of the Moscow Mathematical Society 80(2), 295--342 (2019). [arXiv version]

  • (with W. Graham) Open Access: Frequency-dependent impedance and surface waves on the boundary of a stratified dielectric medium Philosophical Transactions of the Royal Society A 377(2156) (2019).

  • (with Y. Ershova and A. Kiselev) Time-dispersive behaviour as a feature of critical contrast media. SIAM Journal on Applied Mathematics 79(2), 690--715 (2019). [arXiv version]

  • (with M.Cherdantsev and I. Velčić) Open Access: Stochastic homogenisation of high-contrast media. Applicable Analysis 98(1-2), 91--117 (2019).

  • (with J. Evans) Open Access: Homogenisation of thin periodic frameworks with high-contrast inclusions. Journal of Mathematical Analysis and Applications, 473(2), 658--679 (2019).

  • (with M. Cherdantsev and S. Cooper) Open Access: Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect. SIAM Journal on Mathematical Analysis. 50(6), 5825--5856 (2018).

  • (with P. Dondl and F. Rösler) Open Access: Norm-resolvent convergence in perforated domains. Asymptotic Analysis 110(3-4), 163--184 (2018).

  • (with S. D'Onofrio) Operator-norm convergence estimates for elliptic homogenisation problems on periodic singular structures. Journal of Mathematical Sciences 232(4), 558--572 (2018).

  • (with M. Waurick) Open Access: Resolvent estimates in homogenisation of periodic problems of fractional elasticity. Journal of Differential Equations 264(6), 3811--3835 (2018).

  • (with A. V. Kiselev and L. O. Silva) Functional model for extensions of symmetric operators and applications to scattering theory. Networks and Heterogeneous Media 13(2), 191--215 (2018).

  • (with S. Cooper) Open Access: Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast. Mathematika 64(2), 583--605 (2018).

  • (with M. Cherdantsev and S. Neukamm) Open Access: High contrast homogenisation in nonlinear elasticity under small loads Asymptotic Analysis 104(1--2), 67--102 (2017); DOI: 10.3233/ASY-171430

  • (with A. Kiselev) Open Access: Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model. Communications in Mathematical Physics 349, 441--480 (2017); DOI: 10.1007/s00220-016-2698-4

  • (with J. Evans) Open Access: Full two-scale asymptotic expansion and higher-order constitutive laws in the homogenisation of the system of Maxwell equations. Multiscale Modeling and Simulation (SIAM) 14(4), 1513--1539 (2016); DOI:10.1137/15M1042103

  • (with S. Cooper) Open Access:Resolvent estimates for high-contrast homogenisation problems. Archive for Rational Mechanics and Analysis 219(3), 1061--1086 (2016); DOI: 10.1007/s00205-015-0916-4

  • (with M. Cherdantsev) Open Access:Bending of thin periodic plates. Calculus of Variations and Partial Differential Equations 54(4), 4079--4117 (2015).

  • (with S. Cooper) Open Access:On the existence of high-frequency boundary resonances in layered elastic media. Proceedings of the Royal Society A 471: 20140878 (2015). DOI: 10.1098/rspa.2014.0878

  • (with S. Cooper) Open Access: Homogenisation of the system of high-contrast Maxwell equations. Mathematika 61(2: V. G. Maz'ya Anniversary Issue), 475--500 (2015)

  • (with S. Cooper and S. Guenneau) Open Access:Spectral analysis of one-dimensional high-contrast elliptic problems with periodic coefficients. Multiscale Modeling and Simulation (SIAM) 13(1), 72--98 (2015).

  • 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) Open Access: 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) Open Access: 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. Zapiski 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).

  • Open Access: On propagation of attenuated Rayleigh waves along a fluid-solid interface of arbitrary shape. The Quarterly Journal of Mechanics and Applied Mathematics 59, 75--94 (2006).

  • (with V. P. Smyshlyaev and V. V. Zhikov) Non-local homogenised limits for composite media with highly anisotropic periodic fibres. 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. Zapiski 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 density 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), 385--442 (2004).

  • (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).