Ioakeim Ampatzoglou

Education

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

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

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

Journal Articles

Ampatzoglou, I., Pavlovic, N., & Warner, W. (2024). Derivation of the Boltzmann equation for M-order symmetric hard sphere interactions. In Progress.

Ampatzoglou, I., Miller, J. K., Pavlovic, N., & Taskovic, M. (2024). On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy. Journal of Functional Analysis, 41.

(2024). Moment estimates and well-posedness of the binary-ternary Boltzmann equation. Annals of PDE, 60.

Ampatzoglou, I., Miller, J. K., Pavlovic, N., & Taskovic, M. (2024). Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces. International Mathematics Research Notices, 40.

(2023). Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres. Forum of Mathematics, Sigma, 76.

Ampatzoglou, I., Collot, C., & Germain, P. (2023). Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting. American Journal of Mathematics, 80.

Ampatzoglou, I. (2023). GLOBAL WELL-POSEDNESS AND STABILITYOF THE INHOMOGENEOUS KINETICWAVE EQUATION NEAR VACUUM. KINETIC AND RELATED MODELS, 17.

(2022). A RIGOROUS DERIVATION OF A BOLTZMANN SYSTEM FOR A MIXTURE OF HARD-SPHERE GASES. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 41.

Ampatzoglou, I., Gamba, I. M., Pavlovic, N., & Taskovic, M. (2022). Global well-posedness of a binary-ternary Boltzmann equation. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 43.

(2021). Rigorous Derivation of a Ternary Boltzmann Equation for a Classical System of Particles. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 71.

(2020). On the l1 non-embedding in the James Tree Space. EXPOSITIONES MATHEMATICAE, 19.

Presentations

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

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

Ampatzoglou, I. Moments estimates and global well-posedness of the binary-ternary Boltzmann equation. The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, UNC Wilmington, NC. UNC Wilmington, NC

Other Scholarly Works

Professional