Kirill Cherednichenko

  • Research seminar "Asymptotics, operators and functionals'': Mondays at 16:15-18:15 in Wolfson Lecture Theatre 4W 1.7.

    We aim to discuss the latest results and techniques in the asymptotic analysis of operators, differential equations and functionals, as well as its applications to mechanics, materials and wave propagation. The talk will usually focus on one or two aspects of a problem of current interest, and is meant to form the basis for an informal discussion during and after the talk. All welcome.

    Next talk is on 30 April by Alexander Kiselev.

    Seminar programme

    I am EPSRC Fellow and Reader in Mathematics

    Here is a link to my 5-year EPSRC-supported project "Mathematical foundations of metamaterials: homogenisation, dissipation and operator theory"

    I am always happy to talk to anyone looking for a PhD project. Here are some of the possible research topics. Please feel free to email me at K.Cherednichenko (at) bath.ac.uk if you are interested.

    My curriculum vitae (in PDF format)       List of my publications (in PDF format)      Brief research statement (in PDF format)
    Research interests:

  • Rigorous analysis of problems in mechanics and electromagnetism
  • Homogenisation of partial differential equations and integral functionals
  • Applications of homogenisation to the mechanics of composite materials
  • Scale interaction effects in the description of the behaviour of heterogeneous media
  • Wave propagation in solid mechanics and electromagnetism
  • Dissipative operator theory and functional models
  • Scattering theory for differential equations with inhomogeneities
  • Asymptotic methods for periodic media with rapidly oscillating properties and for high-frequency problems
  • Variational methods in the mechanics of media with a microstructure
  • Theories for the description of dislocations as agents of plastic flow

    Postdocs

    Yulia Ershova, 2016--2018

    James Roberts, Nov 2016 -- Mar 2017

    Marcus Waurick, 2015--2017 (Now Chancellor's Fellow at the Unversity of Strathclyde)

    Shane Cooper, 2012--2013 (now EPSRC Research Fellow and Willmore Fellow at Durham University)

    Mikhail Cherdantsev, 2008--2010 (now Lecturer at Cardiff University)

    Komil Kuliev, 2012--2013

    PhD students

    William Graham (University of Bath, 2017--2021), working on waves in electromagnetic composites (currently formulating his SAMBa thesis)

    Matthew Lewis (Cardiff University, 2014--2017), working on eigenvalue problems for the nonlinear p-Laplace equation and its versions with rapidly oscillating coefficients (Supervised jointly with Karl Michael Schmidt)

    Serena D'Onofrio (University of Bath, 2016--2020), working on new analytical techniques in homogenisation and scattering for composite media

    Aaron Pim (University of Bath, 2017--2021), working on homogenisation techniques for liquid crystals and existence theorems for associated energy functionals (Supervised jointly with Apala Majumdar and Jey Sivaloganathan)

    Former PhD student

    James Evans (Cardiff University, 2012--2016): Higher-order homogenisation for Maxwell equations and on homogenisation and spectral properties of periodic thin structures with high contrast

    Collaborators

    Patrick Dondl (Universität Freiburg), Alexander Kiselev (Kyiv), Karsten Matthies (Bath), Stefan Neukamm (TU Dresden), Luis Silva (IIMAS-UNAM, Mexico) Igor Velčić (Zagreb)

    Published articles            Submitted manuscripts             In preparation

    Employer: Department of Mathematical Sciences, University of Bath
    Job Title: Reader in Mathematics
    Telephone: +44 1225 38 6891

    E-mail Address: K.Cherednichenko (at) bath.ac.uk

    Postal Address:
    Department of Mathematical Sciences
    University of Bath
    Claverton Down
    Bath, BA2 7AY
    United Kingdom

    Research Gate       Google Scholar       Back to Academic Profile

  • BUC-XII: 12-14 March 2018 (University of Bath)

  • BUC-XI: 27 November -- 3 December 2017 (CIMAT-Mérida)

  • BUC-VII: Spring School 30 March -- 3 April 2017 (UNAM), Workshop 4 April -- 7 April 2017 (CIMAT-Mérida)

  • Conference "Operators, Operator Families and Asymptotics": 16--19 May 2016

  • LMS-Bath-WIMCS Analysis Day: 4 December 2015