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.

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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).

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My Links

1. Research Gate

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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.

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Grants

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

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Publications

2020

X. Mei, A. Savostianov, C. Sun, S. Zelik, "Infinite energy solutions for weakly damped quintic wave equations in \(\mathbb{R}^3\)". arXiv:2004.11864.

A. Savostianov, S. Zelik, "Uniform attractors for measure-driven quintic wave equations," Russian Mathematical Surveys, vol. 75, no. 2, pp. 253-320, 2020. original (eng), original (ru), arXiv:1810.03149.

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.

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.

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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

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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.

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