Athanasios Stylianou - Forschungsinformationssystem | Universität Kassel

Dr. Athanasios Stylianou

Research Interest

Fourth order elliptic PDEs and elliptic Systems
Regularity theory in smooth and nonsmooth domains
Free boundary and interface problems related to wave phenomena
Pattern formation

Academic background

since 2015: Postdoctoral assistant, University of Kassel

2013 - 2014: Postdoctoral assistant, Saarland University

2011 - 2013: NVH development engineer, P+Z Engineering

2010 - 2011: Research assistant, University of Cologne

2007 - 2010: Ph.D. student, University of Cologne

2001 - 2007: Diploma in applied Mathematics, Technical University of Athens

Projects as Principal Investigator

10/2015 - 12/2015

Free boundaries in the mathematical theory of ferrofluids

Publications

1 of 2

2021	Luo, Y., Stylianou, A., 2021. Ground states for a nonlocal mixed order cubic-quartic Gross-Pitaevskii equation. Journal of Mathematical Analysis and Applications 2021/496, 124802. https://doi.org/10.1016/j.jmaa.2020.124802
2020	Luo, Y., Stylianou, A., 2020. On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions. Discrete and Continuous Dynamical Systems - Series B 2020/22, 2017_11_701. https://doi.org/10.3934/dcdsb.2020239
2018	Parini, E., Stylianou, A., 2018. A free boundary approach to the Rosensweig instability of ferrofluids. Zeitschrift für Angewandte Mathematik und Physik 69, 32. https://doi.org/10.1007/s00033-018-0924-y
2018	Stylianou, A., 2018. On the existence of symmetric minimizers.
2017	Groves, M., Lloyd, D.J.B., Stylianou, A., 2017. Pattern formation on the free surface of a ferrofluid: Spatial dynamics and homoclinic bifurcation. Physica D: Nonlinear Phenomena 350, 1–12. https://doi.org/10.1016/j.physd.2017.03.004
2016	Stylianou, A., 2016. Geometrische Maßtheorie.
2014	Groves, M., Stylianou, A., 2014. On the Hamiltonian structure of the planar steady water-wave problem with vorticity. Comptes Rendus Mathematique 352, 205–211. https://doi.org/10.1016/j.crma.2014.01.006
2012	Gerasimov, T., Stylianou, A., Sweers, G., 2012. Corners give problems when decoupling fourth order equations into second order systems. SIAM Journal on Numerical Analysis 50, 1604–1623. https://doi.org/10.1137/100806151
2012	Nazarov, S.A., Stylianou, A., Sweers, G., 2012. Hinged and supported plates with corners. Zeitschrift fur Angewandte Mathematik und Physik 63, 929–960. https://doi.org/10.1007/s00033-012-0195-y
2011	Stavrakakis, N., Stylianou, A., 2011. Global attractor for some wave equations of p- and p(x)-laplacian type. Differential and Integral Equations 24, 159–176.

Other Research Activities

2019	9th Singular Days Conference or similar event
2015	3rd Workshop of the GAMM Activity Group Analysis of Partial Differential Equations Conference or similar event