Dr Mikhail Cherdantsev

Dr Mikhail Cherdantsev

Lecturer

School of Mathematics

Email:
cherdantsevm@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5549
Location:
M/2.51, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG

The main areas of my research are wave propagation problems in periodic composites, elastic properties of periodic composites, problems involving multiple scales. My current research interests are:

  • Rigorous analysis of problems in continuum mechanics;
  • Classical and non-classical homogenisation of differential equations and integral functionals;
  • Asymptotic analysis of problems involving scale interaction and singularly perturbed problems;
  • Spectral problems in PDEs;
  • Wave propagation in periodic media, metamaterials.

Publications:

  1. Cherdantsev, M., Kamotski, I.: Spectral asymptotics in networks of thin domains. To be submitted.
  2. Cherdantsev, M., Cherednichenko, K.D., Cooper, S.: Extreme localisation of eigenfunctions to one-dimensional high-contrast problems with a defect. To be submitted.
  3. Cherdantsev, M.,Cherednichenko, K.D., Neukamm, S.: Homogenisation in finite elasticity for composites with a high contrast in the vicinity of rigid-body motions. Submitted.
  4. Cherdantsev, M., Cherednichenko, K.D.: Bending of thin periodic plates. Calc. Var. 54(4), 4079–4117 (2015).
  5. Cherdantsev, M., Cherednichenko, K.D.: Two-scale Γ-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites. Arch. Ration. Mech. Anal. 204, 445–478 (2012).
  6. Cherdantsev, M: Spectral convergence for high-contrast elliptic periodic problems with a defect via homogenization. Mathematika 55 (1-2), 29-57 (2009).
  7. Cherdantsev, M.: Asymptotic expansion of eigenvalues of the Laplace operator in domains with singularly perturbed boundary. Math. Notes 78(2), 270–278 (2005).

Work in progress:

  1. Cherdantsev, M., Cherednichenko, K.D., Homogenisation of periodic elastic shells from nonlinear setting. In preparation.

Autumn term: Calculus of Several Variables.

Spring term: Methods of Applied Mathematics, Ordinary Differential Equations.