Research

Publications, preprints, and presentations.

Research Highlights

My research focuses on the tidal dynamics of planetary bodies. I develop rheological models and analytical tools to study the internal structure, tidal dissipation, and forced librations of satellites and exoplanets. A central result of this work is that the tidal response of any multilayered body can be exactly reproduced by a homogeneous body with an appropriate rheology — a simplification that makes physically realistic dissipation models tractable for long-term orbital evolution. I have applied these methods to the icy moons Enceladus and Mimas, the exoplanet TRAPPIST-1e, and the tidal synchronisation of Pluto and Charon.

I also develop numerical methods for mean-field games and price formation problems. I formulate these systems as monotone operator equations and variational inequalities, and design convergent iterative schemes with mesh-independent convergence rates. I have applied these methods to price formation problems, both in competitive settings with minor agents and in energy markets with major-minor agent interactions and storage constraints.

Software

HomogeneousModel — computes Love numbers and the equivalent homogeneous Voigt rheology for a multilayered incompressible body under tidal forcing.

Wolfram Language companion code to Y. Gevorgyan, “A user-friendly package and workflow…”, A&A (2026).

GitHub

Preprints

A. Arakelyan, T. Bakaryan, Y. Gevorgyan and D. Gomes. “A two-player zero-sum game model between defenders and attackers.” Preprint, 2026.
S. Ciani, Y. Gevorgyan, D. Gomes, P. Olimjoni and M. Ucer. “Price formation in energy markets: a mean-field game with major-minor agents and storage.” Preprint, 2026.
H. Al Abdulaziz, Y. Ashrafyan, Y. Gevorgyan and D. Gomes. “Variational and geometric methods for stationary mean-field games via Bregman projections.” Preprint, 2026.
Y. Gevorgyan and D. Gomes. “A Riesz-map preconditioned extragradient method for price formation in mean-field games.” Preprint, 2026.

Publications

Y. Gevorgyan. “A user-friendly package and workflow for generating effective homogeneous rheologies for the study of the long-term orbital evolution of multilayered planetary bodies.” Astronomy & Astrophysics, 2026.

arXiv
M. Efroimsky, M. Walterová, Y. Gevorgyan, A. Bagheri, V. V. Makarov and A. Khan. “Synchronisation of a tidal binary by inward orbital migration. The case of Pluto and Charon.” The Planetary Science Journal, v. 7, p. 68, 2026.

DOI arXiv
Y. Gevorgyan. “A simplified model for the forced libration of icy moons with subsurface oceans: application to Enceladus and Mimas.” Celestial Mechanics and Dynamical Astronomy, v. 137, p. 38, 2025.

DOI arXiv
Y. Gevorgyan, I. Matsuyama and C. Ragazzo. “Equivalence between simple multilayered and homogeneous laboratory-based rheological models in planetary science.” Monthly Notices of the Royal Astronomical Society, v. 523, issue 2, p. 1822–1831, 2023.

DOI arXiv
C. Ragazzo, G. Boué, Y. Gevorgyan and L. S. Ruiz. “Librations of a body composed of a deformable mantle and a fluid core.” Celestial Mechanics and Dynamical Astronomy, v. 134(2), p. 1–83, 2022.

DOI arXiv
Y. Gevorgyan. “Homogeneous model for the TRAPPIST-1e planet with an icy layer.” Astronomy & Astrophysics, v. 650, p. A141, 2021.

DOI arXiv
Y. Gevorgyan, G. Boué, C. Ragazzo, L. S. Ruiz and A. C. M. Correia. “Andrade rheology in time-domain. Application to Enceladus’ dissipation of energy due to forced libration.” Icarus, v. 343, p. 113610, 2020.

DOI arXiv
J. R. G. Mendonça and Y. Gevorgyan. “Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects.” Physical Review E, v. 95, p. 052131, 2017.

DOI arXiv
E. Gevorgyan, A. Nersessian, V. Ohanyan and E. Tolkachev. “Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution.” Modern Physics Letters A, v. 29, p. 1450148, 2014.

DOI arXiv
E. Gevorgyan and G. Sarkissioan. “Defects, non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields.” Journal of High Energy Physics, v. 2014, p. 035, 2014.

DOI arXiv

Selected Presentations

November 2025 — “Price formation in mean-field games,” Seminário de métodos numéricos, IME/USP, São Paulo, Brazil.
November 2025 — “Synchronisation of Pluto and Charon by inward orbital migration,” UNESP, Rio Claro, Brazil.
August 2025 — “Price formation in mean-field games,” IST-IME 9, São Paulo, Brazil.
June 2025 — “Price formation in mean-field games,” Math 2 Product, Valencia, Spain.
August 2024 — “Equivalence between multilayered and homogeneous rheological models,” IAU XXXII General Assembly, Cape Town, South Africa.
May 2023 — “Equivalence between rheological models,” Dep. of Earth Sciences, ETH Zurich, Switzerland.
April 2023 — “Equivalence between rheological models,” Geodynamics Seminar, Charles University, Prague, Czech Republic.
August 2022 — (Invited) “Viscoelastic behavior of rheological models,” LPL Conference, University of Arizona, USA.
August 2022 — “Comparison of stratified and effective rheological models for icy worlds,” IAU XXXI General Assembly, Busan, South Korea.
October 2021 — “Stratified rheological models for icy worlds,” IAU Symposium 364, Iasi, Romania.
February 2020 — “Andrade rheology in time-domain,” I-CELMECH Training School, Milan, Italy.