Ioakeim Ampatzoglou

Education

Ph.D., Mathematics, The University of Texas at Austin Austin United States

M.E., Electrical and Computer Engineering, National Technical University of Athens Athens Greece

B.Eng, Electrical and Computer Engineering, National Technical University of Athens Athens Greece

Journal Articles

(2025). Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L8 spaces. Communications in Partial Differential Equations, 50(2). 723-765.

(2025). Convolution estimates for the Boltzmann gain operator with hard spheres. Communications on Pure and Applied Mathematics,

(2025). On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy. Journal of Functional Analysis, 289(9). 111079.

(2025). Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting. American Journal of Mathematics, 147(4). 1053-1158.

(2025). Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres. Forum of Mathematics Sigma, 13(e52). 1-95.

(2024). Quantitative scattering of the Boltzmann equation and its hierarchy. In Progress.

(2024). Derivation of the Higher Order Boltzmann Equation for Hard Spheres. Advances in Mathematics,

(2024). On the ill-posedness of kinetic wave equations. Nonlinearity,

(2024). Scattering theory for the Inhomogeneous Kinetic Wave Equation. Communications in Mathematical Physics,

Ampatzoglou, I. (2024). Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum. Kinetic and Related Models, 17(6). 838-854.

(2024). Moment estimates and well-posedness of the binary-ternary Boltzmann equation. Pure and Applied Analysis, 60.

(2022). A rigorous derivation of a Boltzmann system for a mixture of hard-sphere gases. SIAM Journal on Mathematical Analysis, 54(2). 2320-2372.

Ampatzoglou, I., Gamba, I. M., Pavlovic, N., & Taskovic, M. (2022). Global well-posedness of a binary-ternary Boltzmann equation. Annales de l' Istitut Henri Poincaré C - Analyse Non Linéaire, 39(2). 327-369.

(2021). Rigorous derivation of a ternary Boltzmann Equation for a classical system of particles. Communications in Mathematical Physics, 387(2). 793-863.

(2020). On the l1 non-embedding in the James Tree Space. Expositiones Mathematicae, 38(1). 112-130.

Presentations

Ampatzoglou, I. Convolution estimates of the gain Boltzmann operator with hard-spheres. SLMath. Berkeley, CA: SLMath. In Progress.

Ampatzoglou, I. Global existence of strong solutions to the inhomogeneous kinetic wave equation. Joint Mathematics Meetings. Seattle, WA

Ampatzoglou, I. Global existence of strong solutions to the inhomogeneous kinetic wave equation. Differential Equations Seminar. University of Michigan

Ampatzoglou, I. Fundamentals of Wave Turbulence. Pasadena, CA: American Institute of Mathematics.

Ampatzoglou, I. Convolution estimates for the Boltzmann gain operator with hard-spheres. SIAM Conference on Analysis of Partial Differential Equations (PD25). : Society of Industrial and Applied Mathematics. In Progress.

Ampatzoglou, I. Scattering theory for the inhomogeneous kinetic wave equation. Hyperbolic and Dispersive PDE seminar. Rutgers University

Ampatzoglou, I. On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy. AMS Spring Eastern Sectional Meeting, Howard University. Washington, DC

Ampatzoglou, I. On the derivation and analysis of the inhomogeneous kinetic wave equation. Analysis Seminar, UT Austin. The University of Texas at Austin

Ampatzoglou, I. Moments estimates and global well-posedness of the binary-ternary Boltzmann equation. AIMS Conference on Dynamical Systems, Differential Equations and Applications. UNC Wilmington, NC

Ampatzoglou, I. Moment estimates and global well-posedness of the binary-ternary Boltzmann equation. Mafran days, University of Cambridge. University of Cambridge, UK

Other Scholarly Works

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Professional