![Mikhail Cherdantsev](https://profiles-cardiff.imgix.net/attachments/9726?w=200&h=200&auto=format&crop=faces&fit=crop&q=90")
Dr Mikhail Cherdantsev
- Available for postgraduate supervision
Teams and roles for Mikhail Cherdantsev
Senior Lecturer
Overview
Research interests: Periodic and Stochastic Homogenisation, High-contrast Homogenisation, Spectral Theory, Wave Propagation, Non-linear Elasticity, PDEs in Singular Domains, Multiscale Analysis.
Download My Curriculum Vitae
Publications:
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M. Cherdantsev, E. Davoli, L. D'Elia, S. Riccò. Homogenization and linearization in magnetoelasticity under small elastic response. arXiv:2511.21907, (2025).
- P. Bella, M. Capoferri, M. Cherdantsev, I. Velčić. Quantitative estimates for high-contrast random media. arXiv:2502.09493, (2025).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. High-contrast random composites: homogenisation framework and spectral convergence. Commun. Math. Phys., 407, 113 (2026).
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M. Cherdantsev, A. Piatnitski, I. Velčić. Homogenisation and spectral convergence of high-contrast convolution type operators. Journal of Differential Equations, 465 (2026).
- M. Capoferri, M. Cherdantsev, I. Velčić. High-contrast random systems of PDEs: homogenisation and spectral theory. Commun. Contemp. Math., 28(1), (2026).
- M. Capoferri, M. Cherdantsev, I. Velčić. Eigenfunctions localised on a defect in high-contrast random media. SIAM J. Math. Anal., 55 (6), pp. 7449-7489 (2023).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. Stochastic homogenisation of high-contrast media. Applicable Analysis, 98 (1-2), pp. 91-117 (2019).
- M. Cherdantsev, K. Cherednichenko, S. Cooper. Extreme localisation of eigenfunctions in one-dimensional high-contrast problems with a defect. SIAM Journal on Mathematical Analysis, 50(6), pp. 5825-5856 (2018).
- M. Cherdantsev, K. Cherednichenko, S. Neukamm. High contrast homogenisation in nonlinear elasticity under small loads. Asymptotic Analysis, 104 (1-2), pp. 67-102 (2017).
- M. Cherdantsev, K. Cherednichenko. Bending of thin periodic plates. Calc. Var. and PDEs, 54(4), pp. 4079–4117 (2015).
- M. Cherdantsev, K. Cherednichenko. Two-scale Γ-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites. Arch. Ration. Mech. Anal., 204, pp. 445–478 (2012).
- M. Cherdantsev. Spectral convergence for high-contrast elliptic periodic problems with a defect via homogenization. Mathematika, 55 (1-2), pp. 29-57 (2009).
- M. Cherdantsev. Asymptotic expansion of eigenvalues of the Laplace operator in domains with singularly perturbed boundary. Math. Notes, 78(2), pp. 270–278 (2005).
Publication
2026
- Cherdantsev, M. , Cherednichenko, K. and Velčić, I. 2026. High-contrast random composites: homogenisation framework and spectral convergence. Communications in Mathematical Physics 407 (6) 113. (10.1007/s00220-026-05601-9)
- Capoferri, M. , Cherdantsev, M. and Velčić, I. 2026. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics 28 (1)(10.1142/S0219199725500294)
- Cherdantsev, M. , Piatnitski, A. and Velčić, I. 2026. Homogenisation and spectral convergence of high-contrast convolution type operators. Journal of Differential Equations 465 114247. (10.1016/j.jde.2026.114247)
2023
- Capoferri, M. , Cherdantsev, M. and Velčić, I. 2023. Eigenfunctions localised on a defect in high-contrast random media. SIAM Journal on Mathematical Analysis 55 (6)(10.1137/21M1468486)
2019
- Cherdantsev, M. , Cherednichenko, K. and Velcic, I. 2019. Stochastic homogenisation of high-contrast media. Applicable Analysis 98 (1-2), pp.91-117. (10.1080/00036811.2018.1495327)
2018
- Cherdantsev, M. , Cherednichenko, K. and Cooper, S. 2018. Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect. Siam Journal on Mathematical Analysis 50 (6), pp.5825-5856. (10.1137/17M112261X)
2017
- Cherdantsev, M. , Cherednichenko, K. and Neukamm, S. 2017. High contrast homogenisation in nonlinear elasticity under small loads. Asymptotic Analysis 104 (1-2), pp.67-102. (10.3233/ASY-171430)
2015
- Cherdantsev, M. and Cherednichenko, K. 2015. Bending of thin periodic plates. Calculus of Variations and Partial Differential Equations 54 , pp.4079-4117. (10.1007/s00526-015-0932-0)
2012
- Cherdantsev, M. and Cherednichenko, K. 2012. 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 (2), pp.445-478. (10.1007/s00205-011-0481-4)
2009
- Cherdantsev, M. 2009. Spectral convergence for high-contrast elliptic periodic problems with a defect via homogenization. Mathematika 55 (1-2), pp.29-57. (10.1112/S0025579300000942)
Articles
- Cherdantsev, M. , Cherednichenko, K. and Velčić, I. 2026. High-contrast random composites: homogenisation framework and spectral convergence. Communications in Mathematical Physics 407 (6) 113. (10.1007/s00220-026-05601-9)
- Capoferri, M. , Cherdantsev, M. and Velčić, I. 2026. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics 28 (1)(10.1142/S0219199725500294)
- Cherdantsev, M. , Piatnitski, A. and Velčić, I. 2026. Homogenisation and spectral convergence of high-contrast convolution type operators. Journal of Differential Equations 465 114247. (10.1016/j.jde.2026.114247)
- Capoferri, M. , Cherdantsev, M. and Velčić, I. 2023. Eigenfunctions localised on a defect in high-contrast random media. SIAM Journal on Mathematical Analysis 55 (6)(10.1137/21M1468486)
- Cherdantsev, M. , Cherednichenko, K. and Velcic, I. 2019. Stochastic homogenisation of high-contrast media. Applicable Analysis 98 (1-2), pp.91-117. (10.1080/00036811.2018.1495327)
- Cherdantsev, M. , Cherednichenko, K. and Cooper, S. 2018. Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect. Siam Journal on Mathematical Analysis 50 (6), pp.5825-5856. (10.1137/17M112261X)
- Cherdantsev, M. , Cherednichenko, K. and Neukamm, S. 2017. High contrast homogenisation in nonlinear elasticity under small loads. Asymptotic Analysis 104 (1-2), pp.67-102. (10.3233/ASY-171430)
- Cherdantsev, M. and Cherednichenko, K. 2015. Bending of thin periodic plates. Calculus of Variations and Partial Differential Equations 54 , pp.4079-4117. (10.1007/s00526-015-0932-0)
- Cherdantsev, M. and Cherednichenko, K. 2012. 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 (2), pp.445-478. (10.1007/s00205-011-0481-4)
- Cherdantsev, M. 2009. Spectral convergence for high-contrast elliptic periodic problems with a defect via homogenization. Mathematika 55 (1-2), pp.29-57. (10.1112/S0025579300000942)
Research
Research interests
Homogenisation theory in general. Homogenisation of high-contrast problems, stochastic homogesation, homogenisation of integral operators, homogenisation of non-linear functionals, dimension reduction. Spectral convergence and quantitative results in homogenisation.
Research group
Teaching
Autumn term: Calculus of Several Variables, Advanced Topics in Analysis: Sobolev Spaces and Elliptic PDEs
Biography
Degree in mathematics/applied mathematics from Ufa State Aviation Technical University in 2004.
2005-2009 PhD at the University of Bath under the supervision of Valery Smyshlyaev and Ilia Kamotski.
2008-2010 a postdoc position with Kirill Cherednichenko at Cardiff.
2010-2013 EPSRC Felloship at Cardiff.
From 2013 lecturer => senour lecturer in mathematics at Cardiff.
Supervisions
I will supervise students ONLY in the areas matching my research interests, namely:
homogenisation of heterogeneous media and composites in the setting of linear PDEs, Claculus of Variations, Non-local (integral) operators.