If you made any changes in Pure these will be visible here soon.

Personal profile

Research interests

My research interests are in the multi-scale asymptotic analysis of materials and media. The main objective of such analysis is to replace the complex medium in question by its "effective" counterpart possessing the physical properties of the original problem that are deemed important in a given application. I use a range of tools from the asymptotic analysis of partial differential equations and integral functionals, which are often linked to the kind of convergence ("topology") that preserves the energy stored in a medium for any data from a given function class. An example of a recent evolution of such asymptotic tools is provided by the analysis of the overall ("averaged", "homogenised") behaviour periodic composite media, where the increased contrast between component media leads to a loss of compactness of solutions (more generally, of bounded-energy sequences) in the classical Sobolev spaces.


It has recently become evident that in some cases there is no "natural" candidate for the effective medium, and one might think of the asymptotic approximation itself as the effective "model". I am currently engaged with the development of this idea as the mathematical equivalent of what physicists refer to as a "metamaterial". Here, each of the physical contexts (acoustics, electromagnetism, elasticity) requires new asymptotic techniques in the corresponding area of analysis (operator theory, calculus of variations). I am motivated by the fascinating interplay between physical objects and mathematical concepts that becomes evident as a result of the development of such techniques.

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Periodic Coefficients Mathematics
Homogenization Mathematics
Composite Media Mathematics
Resolvent Estimates Mathematics
Maxwell's equations Mathematics
Elliptic Problems Mathematics
Asymptotic Behavior Mathematics
Operator Norm Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2014 2019

International Research Accelerator Scheme

Shaddick, G., Kyprianou, A., Milewski, P., Cherednichenko, K. & Majumdar, A.


Project: Research-related fundingInternational Relations Office Funding

differential equations

IAA - New-wave Damping Composites (IAA261)

Cherednichenko, K. & Cooper, S.


Project: Research council

Operators, Operator Families and Asymptotics

Cherednichenko, K.


Project: Research-related funding

Research Output 1997 2018

Open Access
Composite Media
Maxwell's equations
Asymptotic Behavior
Oscillating Coefficients

Functional model for extensions of symmetric operators and applications to scattering theory

Cherednichenko, K. D., Kiselev, A. V. & Silva, L. O. 1 Jun 2018 In : Networks and Heterogeneous Media. 13, 2, p. 191-215

Research output: Contribution to journalArticle

Symmetric Operator
Functional Model
Scattering Theory
Deficiency Index

Norm-resolvent convergence in perforated domains

Cherednichenko, K., Dondl, P. & Rösler, F. 10 Apr 2018 (Accepted/In press) In : Asymptotic Analysis.

Research output: Contribution to journalArticle

Resolvent estimates in homogenisation of periodic problems of fractional elasticity

Cherednichenko, K. & Waurick, M. 15 Mar 2018 In : Journal of Differential Equations. 264, 6, p. 3811-3835

Research output: Contribution to journalArticle

Open Access
Resolvent Estimates
Convergence Estimates
Operator Norm
Periodic Problem