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Dr Mikhail Cherdantsev
- Ar gael fel goruchwyliwr ôl-raddedig
Timau a rolau for Mikhail Cherdantsev
Uwch Ddarlithydd
Trosolwyg
Prif feysydd fy ymchwil yw Homogeneiddio Cyfnodol a Stochastig, Homogeneiddio Gwrthgyferbyniad Uchel, Theori Sbectrwm, Lluosogiad Tonnau , Elasticity Aflinol, PDEs mewn Parthau Singular, Dadansoddiad Amlraddfa.
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Lawrlwytho fy nghwricwlwm Vitae
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Cyhoeddiadau:
- P. Bella, M. Capoferri, M. Cherdantsev, I. Velčić. Amcangyfrifon meintiol ar gyfer cyferbyniad uchel ar hap cyfryngau. arXiv: 2502.09493, (2025).
- M. Capoferri, M. Cherdantsev, I. Velčić. Systemau hap-gyferbyniol uchel PDEs: homogeneiddio a theori sbectrwm. derbyniwyd i Comiwn. Cyfoes. Math., (2025).
- M. Capoferri, M. Cherdantsev, I. Velčić. Lleolwyd Eigenfunctions ar ddiffyg mewn cyfryngau hap-gyferbyniol uchel. SIAM J. Math. Anal, 55 (6), tt. 7449-7489 (2023).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. Cyfansoddion ar hap gwrthgyferbyniad uchel: fframwaith homogeneiddio a ffenomenau sbectrol newydd. arXiv: 2110.00395 [mathemateg. SP, (2021).
- M. Cherdantsev, K. Cherednichenko, I. Velčić. Homogenization stochastig o gyfryngau cyferbyniad uchel.
Dadansoddiad perthnasol, 98 (1-2), tt. 91-117 (2019).
- M. Cherdantsev, K. Cherednichenko, S. Cooper. Lleoleiddio eithafol o eigenfunctions mewn problemau cyferbyniad uchel un dimensiwn â diffyg. SIAM Journal ar Ddadansoddi Mathemategol, 50(6), tt. 5825-5856 (2018).
- M. Cherdantsev, K. Cherednichenko, S. Neukamm. Homogeneiddio cyferbyniad uchel mewn elastigedd aflinol o dan lwythi bach. Dadansoddiad Asymptotic, 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. Cydgyfeiriant Γ dwy raddfa o swyddogaethau annatod a'i gymhwysiad i homogeneiddio cyfansoddion cyfnodol cyferbyniad uchel aflinol. Arch. Dogn. Mech. Anal., 204, tt. 445–478 (2012).
- M. Cherdantsev. Cydgyfeiriant sbectrol ar gyfer problemau cyfnodol elipptig cyferbyniad uchel gyda nam trwy homogenization. Mathematika, 55 (1-2), tt. 29-57 (2009).
- M. Cherdantsev. Ehangu symptotig o eigenvalues y gweithredwr Laplace mewn parthau â ffin unigol perturiog. Math. Nodiadau, 78(2), tt. 270–278 (2005).
Cyhoeddiad
2025
- Capoferri, M., Cherdantsev, M. and Velčić, I. 2025. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics (10.1142/S0219199725500294)
- Capoferri, M., Cherdantsev, M. and Velčić, I. 2025. High-contrast random systems of PDEs: Homogenization and spectral theory. Communications in Contemporary Mathematics (10.1142/s0219199725500294)
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
- Capoferri, M., Cherdantsev, M. and Velčić, I. 2025. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics (10.1142/S0219199725500294)
- Capoferri, M., Cherdantsev, M. and Velčić, I. 2025. High-contrast random systems of PDEs: Homogenization and spectral theory. Communications in Contemporary Mathematics (10.1142/s0219199725500294)
- 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
Homogeneiddio problemau llinol ac aflinol.
Contact Details
CherdantsevM@caerdydd.ac.uk
+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