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- Numerical analysis of the weakly nonlinear Boussinesq system with a freely moving body on the bottom (2018)
- Wave-structure interaction for long wave models in the presence of a freely moving object on the bottom (2017)
- Comportement asymptotique en couche mince d'écoulements fluides; Analyse mathématique des glissements de terrain (2015) [in French] This short paper was prepared as an internship report on the scientific activities conducted at the Université Paris-Est Marne-la-Vallée (Paris, France), under the tutelage of François Bouchut. A relatively new formulation of the well-known Saint-Venant system, based on the normal variation, is presented here. The incompressible and compressible cases are both treated, moreover some easy remarks are also made on the viscosity.
- Self similar solutions of Navier-Stokes type equations (2014) In this paper some of the most basic elements in the study of self-similar solutions for the Navier-Stokes equation are presented alongside a few of the more recent and more pertinent results. It was written as the Master's thesis for the university of Eötvös Loránd (Budapest, Hungary), under the guidance of Ádám Besenyei, with the assistance of Marco Cannone. Among the various techniques that proved useful in the treatment of these particular solutions, many useful and interesting remarks were made in order to further elaborate some of the more tedious or more complicated concepts, originated from J. Necas, V. Sverak et T.-P. Tsai.
- Dögészek a filoszterben (2014) [in Hungarian] As one of the authors and the editor. This small booklet was prepared to commemorate the history of the Scientific Workshops of the Eötvös József Collegium in Budapest
- Differential geometry of minimal surfaces (2013) [in Hungarian] Prepared as a Bachelor's thesis at the University of l'Université de Eötvös Loránd (Budapest, Hungary), under the tutelage of Balázs Csikós, this paper elaborates some elementary techniques (which prove to be rather computation-heavy) in the theory of minimal surfaces as well as it shows a relatively new (and one could say more elegant) approach with the help of the theory on functions of complex variables. Throughout the writing, numerous examples are presented with their representation realized in the Mathematica software.
- Stability of uniform-sliding elastic continuum; an attempt to deeper understand the mechanics of earthquakes (2012) Prepared as an internship report for the University of Tokyo Research Internship Program, this praper presents some generalisations in 3 dimensions for the theory developed by J. Rice and J. Ruina in the 1980s that attempts to model earthquake from a purely theoretical and mathematical approach (that was only treated in the simpler 2 dimension case). Supervised by Takahiro Hatano at the Earthquake Research Institute in Tokyo.
- On the topic of some models in population dynamics (2010) [in Hungarian] A 3-species Lotka-Volterra-type model is presented an analysed in this short paper with the objective of providing a deeper understanding of the heavily invasive behaviour of the harlequin ladybeetle.