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.

Publications

2016
  • V. Kalantarov, A. Savostianov, and S. Zelik, “Attractors for damped quintic wave equations in bounded domains,” Annales Henri Poincaré, DOI: 10.1007/s00023-016-0480-y, 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, vol. 136, pp. 136—167, 2016. original, arXiv:1511.04952.
  • 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.
  • 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, doi: 10.1002/mma.3569. original, arXiv:1502.02156.
  • 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

    1. Jul 2017 - Conference "Dynamics, Bifurcations and Strange Attractors", Workshop IDDSA2, Nizhny Novgorod, Russia. Link
    2. May 2017 - Applied Mathematics Seminar, Durham University, UK. Link
    3. Mar 2017 - The 5th Bremen Winter School and Symposium "Dynamical systems and fluids", University of Bremen, Germany. Link
    4. May 2016 - Séminaire d'Analyse, Laboratoire de Mathématiques et Modélisation d'Évry, France. Link
    5. May 2016 - Séminaire EDP et Applications, Université de Poitiers, France. Link
    6. Jul 2015 - Conference-School “Infinite-dimensional dynamics, dissipative systems, and attractors”, Nizhny Novgorod, Russia. Link, Slides
    7. Jun 2015 - Workshop "Longtime Behaviour of Nonlinear Waves", Bielefeld, Germany. Link
    8. Mar 2014 – University of Surrey Analysis Seminar. Link
    9. Jul 2014 – 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain. Link
    10. Aug 2013 – Equadiff-13, Prague, Czech Republic. Link
    11. Dec 2010 – International Young Scientists’ Conference "70 years of KNU’s mechanics and mathematics faculty", Kiev, Ukraine. Link