Biography

I am currently a Researcher in Mathematics at Uppsala University, Sweden. Previously I held an Assistant Professor position at Durham University, UK and a postdoctoral position at The University of Cergy-Pontoise, France. 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 Mathematics
Uppsala University
Lägerhyddsvägen 1
Uppsala, 75106
Sweden
E-mail
anton.savostianov@gmail.com

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

2019
  • S. Cooper, A. Savostianov, "Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations," Advances in Nonlinear Analysis, vol. 9, no. 1, pp. 745–787, 2019. original, arXiv:1804.09947.
  • 2018
  • A. Savostianov, S. Zelik, "Smooth uniform attractors for measure-driven quintic damped wave equation with periodic boundary conditions," arXiv:1810.03149. Submitted.
  • 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

    • Sep 2019 - The PDEs and Applications Seminar, Uppsala University, Sweden. Link
    • Jul 2019 - Equadiff-19, Leiden University, The Netherlands. Link
    • Jul 2019 - Conference "Infinite-dimensional dynamical systems and attractors", Lanzhou University, China. Link
    • May 2019 - Conference "Nonlinear dynamics and long-time asymptotics" in memory of V. S. Buslaev, Saint Petersburg Department of Steklov Institute, Russia. Link
    • Feb 2019 - Mathematical Finance and Stochastic Analysis Seminar, University of York, UK. Link
    • Jan 2019 - Analysis Seminar, Heriot-Watt University, UK. Link
    • Oct 2018 - Cardiff Analysis Seminar, Cardiff University, UK. Link
    • 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, Charles University in Prague, Czech Republic. Link
    • Dec 2010 – International Young Scientists’ Conference "70 years of KNU’s mechanics and mathematics faculty", Kiev, Ukraine. Link

    Teaching

    • Sep 2019 - Oct 2019 - Tutorials on Basic Maths, Uppsala University, Sweden.
    • Jan 2019 - Mar 2019 - Numerical Methods for Partial Differential Equations, Durham University, UK.
    • Oct 2018 - Dec 2018 - Partial Differential Equations, Durham University, UK.
    • Oct 2017 - Dec 2017 - Continuum Mechanics, Durham University, UK.
    • Jan 2017 - Mar 2017 - Numerical Methods for Partial Differential Equations, Durham University, UK.