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Dr Mikhail Cherdantsev
- Ar gael fel goruchwyliwr ôl-raddedig
Timau a rolau for Mikhail Cherdantsev
Uwch Ddarlithydd
Trosolwyg
Diddordebau ymchwil: Homogeneiddio Cyfnodol a Stocastig, Homogeneiddio Cyferbyniad Uchel, Theori Sbectrol, Lluosogi Tonnau, Elastigedd Aflinol, PDEs mewn Meysydd Unigol, Dadansoddiad Aml-raddfa.
Lawrlwytho Fy Curriculum Vitae
Cyhoeddiadau:
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M. Cherdantsev, E. Davoli, L. D'Elia, S. Riccò. Homogenization a linearization mewn magnetoelasticity o dan ymateb elastig bach. arXiv: 2511.21907, (2025).
- P. Bella, M. Capoferri, M. Cherdantsev, I. Velčić. Amcangyfrifon meintiol ar gyfer cyfryngau ar hap cyferbyniad uchel. arXiv: 2502.09493, (2025).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. Cyfansoddion ar hap cyferbyniad uchel: fframwaith homogeneiddio a chydgyfeirio sbectrol. Commun. Math. Phys., 407, 113 (2026).
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M. Cherdantsev, A. Piatnitski, I. Velčić. Homogeneiddio a chydgyfeirio sbectrol gweithredwyr math convolution cyferbyniad uchel. Cyfnodolyn Hafaliadau Differol, 465 (2026).
- M. Capoferri, M. Cherdantsev, I. Velčić. Systemau ar hap cyferbyniad uchel o PDEs: homogeneiddio a theori sbectrol. Commun. Contemp. Math., 28(1), ( 2026).
- M. Capoferri, M. Cherdantsev, I. Velčić. Eigenfunctions wedi'u lleoli ar ddiffyg mewn cyfryngau ar hap cyferbyniad uchel. SIAM J. Math. Anal., 55 (6), tt. 7449-7489 (2023).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. Homogeneiddio stochastig cyfryngau cyferbyniad uchel. Dadansoddiad Perthnasol, 98 (1-2), tt. 91-117 (2019).
- M. Cherdantsev, K. Cherednichenko, S. Cooper. Lleoleiddio eithafol eigenfunctions mewn problemau cyferbyniad uchel un dimensiwn gyda diffyg. Cyfnodolyn SIAM ar Ddadansoddiad Mathemategol, 50(6), tt. 5825-5856 (2018).
- M. Cherdantsev, K. Cherednichenko, S. Neukamm. Homogeneiddio cyferbyniad uchel mewn elastigedd aflinol o dan lwythi bach. Dadansoddiad Asymptotig, 104 (1-2), tt. 67-102 (2017).
- M. Cherdantsev, K. Cherednichenko. Plygu platiau cyfnodol tenau. Calc. Var. a PDEs, 54(4), tt. 4079–4117 (2015).
- M. Cherdantsev, K. Cherednichenko. Cydgyfeirio Γ dwy raddfa o swyddogaethau integrol a'i gymhwyso i homogeneiddio cyfansoddion cyfnodol cyferbyniad uchel aflinol. Arch. Ration. Mech. Anal., 204, tt. 445-478 (2012).
- M. Cherdantsev. Cydgyfeirio sbectrol ar gyfer problemau cyfnodol eliptig cyferbyniad uchel gyda diffyg trwy homogeneiddio. Mathematika, 55 (1-2), tt. 29-57 (2009).
- M. Cherdantsev. Ehangu asymptotig eigenvalues y gweithredwr Laplace mewn parthau gyda ffin unigol aflonyddu. Math. Nodiadau, 78(2), tt. 270–278 (2005).
Cyhoeddiad
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)
Ymchwil
Diddordebau ymchwil
Damcaniaeth homogeneiddio yn gyffredinol. Homogeneiddio problemau cyferbyniad uchel, homogesation stocastig, homogeneiddio gweithredwyr integrol, homogeneiddio swyddogaethau aflinol, lleihau dimensiwn. Mae cydgyfeirio sbectrol a meintiol yn arwain at homogeneiddio.
Grŵp ymchwil
Addysgu
Tymor yr Hydref: Calcwlws o sawl newidyn, pynciau uwch mewn dadansoddiad: gofodau sobolev a PDEs eliptig
Bywgraffiad
Gradd mewn mathemateg / mathemateg gymhwysol o Brifysgol Dechnegol Hedfan Talaith Ufa yn 2004.
2005-2009 PhD ym Mhrifysgol Caerfaddon dan oruchwyliaeth Valery Smyshlyaev ac Ilia Kamotski.
2008-2010 swydd postdoc gyda Kirill Cherednichenko yng Nghaerdydd.
2010-2013 Ffederaliaeth EPSRC yng Nghaerdydd.
O 2013 lecturer => senour lecturer in mathematics yng Nghaerdydd.
Meysydd goruchwyliaeth
Byddaf yn goruchwylio myfyrwyr YN UNIG yn y meysydd sy'n cyfateb i'm diddordebau ymchwil, sef:
homogeneiddio cyfryngau heterogenaidd a chyfansoddion yn y lleoliad PDEs llinol, Claculus o Amrywiadau, gweithredwyr an-leol (annatod).
Contact Details
[email protected]
+44 29208 75549
Abacws, Ystafell 5.54, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
+44 29208 75549
Abacws, Ystafell 5.54, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG