Biography

I am currently a Temporary Lecturer in Applied Mathematics at Durham University. Previously I held a postdoctoral position at the Department of Mathematics of The University of Cergy-Pontoise, where I worked with Nikolay Tzvetkov and Armen Shirikyan. I obtained my PhD from The University of Surrey under supervision of Sergey Zelik. My Master Thesis was supervised by Igor Chueshov.
Anton Savostianov
Mailing address
Anton Savostianov
Department of Mathematical Sciences
Durham University
Lower Mountjoy
Stockton Road
Durham, DH1 3LE
United Kingdom
E-mail
anton.savostianov@durham.ac.uk

My CV in PDF format is available here.

Research interests

In general I am interested in studying infinite dimensional dynamical systems generated by nonlinear partial differential equations (PDEs).


My Links

  1. Research Gate


Scholarships and Awards

  • Jul 2014 - Vice-Chancellor's Award 2014 Finalist, University of Surrey, Guildford, UK.
  • Jul 2014 - First Prize Student Paper Competition Award of AIMS, Madrid, Spain.
  • 2012 – 2015 - University Research Scholarship from The University of Surrey, Guildford, UK.
  • 2012 – 2015 - Overseas Research Scholarship from The University of Surrey, Guildford, UK.
  • 2011 - Scholarship of N. I. Akhiezer Fund, B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine.

Grants

  • 2018 - London Mathematical Society Grant (Scheme 2), Ref. 21707.

Publications

2018
  • S. Cooper, A. Savostianov, "Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations," arXiv:1804.09947. Submitted.
  • A. Savostianov, S. Zelik, "Smooth uniform attractors for measure-driven quintic damped wave equation on 3d torus," 2018. To be finished shortly.
  • 2016
  • V. Kalantarov, A. Savostianov, and S. Zelik, “Attractors for damped quintic wave equations in bounded domains,” Ann. Henri Poincaré, vol. 17, no. 9, pp. 2555-2584, 2016. original, arXiv:1309.6272.
  • A. Savostianov and S. Zelik, “Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space,” Mathematical Models and Methods in Applied Sciences, vol. 26, no. 7, pp. 1357-1384, 2016. original, arXiv:1407.5890.
  • A. Savostianov, “Infinite energy solutions for the critical wave equation with fractional damping in unbounded domains,” Nonlinear Analysis: Theory, Methods \(\&\) Applications, vol. 136, pp. 136—167, 2016. original, arXiv:1511.04952.
  • A. Savostianov and S. Zelik, “Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in \(\mathbb{R}^3\),” Mathematical Methods in the Applied Sciences, vol. 39, no. 5, pp. 1254-1267, 2016. original, arXiv:1502.02156.
  • 2015
  • A. Savostianov, “Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains,” Advances in Differential Equations, vol. 20, no. 5-6, pp. 495—530, 2015. original, arXiv:1403.7476.
  • 2014
  • A. Savostianov and S. Zelik, “Smooth attractors for the quintic wave equations with fractional damping,” Asymptotic Analysis, vol. 87, no. 3-4, pp. 191—221, 2014. original, arXiv:1306.2294.
  • A. Savostianov and S. Zelik, “Recent progress in attractors for quintic wave equations,” Mathematica Bohemica, vol. 139, no. 4, pp. 657—665, 2014. original, arXiv:1311.3290.

  • Talks

    • Oct 2018 - Cardiff Analysis Seminar, Cardiff University, UK.
    • Sep 2018 - Dynamics of Dissipative PDEs Workshop, University of Surrey, UK. Link
    • Jul 2018 - IFIP TC7 Conference on System Modelling and Optimization, University of Duisburg-Essen, Germany. Link
    • Jun 2018 - Workshop "Recent advances in homogenisation theory", Durham University, UK. Link
    • Feb 2018 - Conference "Infinite-dimensional Analysis and Control Theory" dedicated to the centenary of \(\mbox{S. V. Fomin}\), Lomonosov Moscow State University, Russia. Link
    • Jul 2017 - Conference "Dynamics, Bifurcations and Strange Attractors", Workshop IDDSA2, Nizhny Novgorod, Russia. Link
    • May 2017 - Applied Mathematics Seminar, Durham University, UK. Link
    • Mar 2017 - The 5th Bremen Winter School and Symposium "Dynamical systems and fluids", University of Bremen, Germany. Link
    • May 2016 - Séminaire d'Analyse, Laboratoire de Mathématiques et Modélisation d'Évry, France. Link
    • May 2016 - Séminaire EDP et Applications, Université de Poitiers, France. Link
    • Jul 2015 - Conference-School “Infinite-dimensional dynamics, dissipative systems, and attractors”, Nizhny Novgorod, Russia. Link, Slides
    • Jun 2015 - Workshop "Longtime Behaviour of Nonlinear Waves", Bielefeld, Germany. Link
    • Mar 2014 – University of Surrey Analysis Seminar. Link
    • Jul 2014 – 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain. Link
    • Aug 2013 – Equadiff-13, Prague, Czech Republic. Link
    • Dec 2010 – International Young Scientists’ Conference "70 years of KNU’s mechanics and mathematics faculty", Kiev, Ukraine. Link

    Teaching

    • Oct 2018 - Dec 2018 - Partial Differential Equations.
    • Oct 2017 - Dec 2017 - Continuum Mechanics.
    • Jan 2017 - Mar 2017 - Numerical Methods for Partial Differential Equations.