I. Ampatzoglou, I.M. Gamba, N. Pavlović and M. Tasković (2026) Moment estimates and well-posedness of the binary-ternary Boltzmann equation, Pure Appl. Anal. 8(1) 189-245
I. Ampatzoglou and T. Léger (2025) On the optimal well-posedness of the wave kinetic equation in $L^r$ , in revision J. Differential Equations
I. Ampatzoglou and T. Léger (2025) Convolution estimates for the Boltzmann gain operator with hard spheres, submitted
I. Ampatzoglou and T. Léger (2024) Global existence of strong solutions to the Inhomogeneous Kinetic Wave equation, in revision Comm. Math. Phys.
I. Ampatzoglou, N. Pavlović and W. Warner (2024) Derivation of the higher order Boltzmann equation for hard spheres, submitted
I. Ampatzoglou and T. Léger (2025) On the ill-posedness of kinetic wave equations, Nonlinearity 38 115004
I. Ampatzoglou, C. Collot and P. Germain (2025) Derivation of the kinetic wave equation for quadratic dispersive problems, Amer. J. Math. 147(4) 1053-1158
I. Ampatzoglou, J, K. Miller, N. Pavlović and M. Tasković (2025) Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces, Commun. Partial Differential Equations 50(6) 723-765
I. Ampatzoglou, J, K. Miller, N. Pavlović and M. Tasković (2025) On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, J. Funct. Anal. 289(9) 111079
I. Ampatzoglou and N. Pavlović (2025) Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres, Forum Math. Sigma 13(e52)
I. Ampatzoglou (2024) Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum, Kinet. Relat. Models 17(6) 838-854
I. Ampatzoglou, J. K. Miller and N. Pavlović (2022) A Rigorous Derivation of a Boltzmannn System for a Mixture of Hard-Sphere Gases, SIAM J. Math. Anal. 54(2) 2320-2372
I. Ampatzoglou, I.M. Gamba, N. Pavlović and M. Tasković (2022) Global well-posedness for a binary-ternary Boltzmann equation, Ann. Inst. H. Poincaré C Anal. Non Linéaire 39(2) 327-369
I. Ampatzoglou and N. Pavlović (2021) Rigorous derivation of a ternary Boltzmann equation for a classical system of particles, Comm. Math. Phys. 387 793-863
I. Ampatzoglou (2020) Higher Order extensions of the Boltzmann equation, Ph.D. Dissertation UT Austin
I. Ampatzoglou (2020) On the ℓ1 non-embedding in the James Tree Space, Expo. Math. 38(1) 112-130
PSC-CUNY Research Award 68653-00 56
-Project: "Strong solutions of the Boltzmann equation"
-Period: 07/01/2025 - 06/30/2026
National Science Foundation (NSF) Research Grant DMS-2418020
-Project: "Effective equations for large systems of interacting particles or waves"
-Period: 10/15/2023 - 04/30/2026
National Science Foundation (NSF) Research Grant DMS-2206618
-Project: "Effective equations for large systems of interacting particles or waves"
-Period: 05/01/2022 - 10/14/2023