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., Miller, J. K., & Taskovic, M. (2026). Quantitative scattering of the Boltzmann equation and its hierarchy. In Progress.

Ampatzoglou, I., Gamba, I. M., Pavlovic, N., & Taskovic, M. (2026). MOMENT ESTIMATES AND WELL-POSEDNESS OF THE BINARY-TERNARY BOLTZMANN EQUATION. PURE AND APPLIED ANALYSIS,

Ampatzoglou, I., & Léger, T. (2026). On the optimal local well-posedness of the wave kinetic equation in Lr. JOURNAL OF DIFFERENTIAL EQUATIONS,

Ampatzoglou, I., & Léger, T. (2026). Moments-preserving Young's inequality for thre Boltzmann gain operator with hard spheres. Archive for Rational Mechanics and Analysis,

Ampatzoglou, I., & Léger, T. (2026). Global Existence of Strong Solutions to the Inhomogeneous Kinetic Wave Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS,

Ampatzoglou, I. (2026).  Smoothing and sharp mapping properties of the hard-potential Boltzmann gain operator. In Progress.

Ampatzoglou, I., Miller, J. K., Pavlovic, N., & Taskovic, M. (2025). Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L8 spaces. Communications in Partial Differential Equations, 50(2). 723-765.

Ampatzoglou, I., & Pavlovic, N. (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.

Ampatzoglou, I., Miller, J. K., Pavlovic, N., & Taskovic, M. (2025). On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy. Journal of Functional Analysis, 289(9). 111079.

Ampatzoglou, I., Collot, C., & Germain, P. (2025). DERIVATION OF THE KINETIC WAVE EQUATION FOR QUADRATIC DISPERSIVE PROBLEMS IN THE INHOMOGENEOUS SETTING. AMERICAN JOURNAL OF MATHEMATICS,

Ampatzoglou, I., & Léger, T. (2025). On the ill-posedness of kinetic wave equations. NONLINEARITY,

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

Ampatzoglou, I., Pavlovic, N., & Warner, W. (2024). Derivation of the Higher Order Boltzmann Equation for Hard Spheres. Advances in Mathematics,

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.

Ampatzoglou, I., Miller, J. K., & Pavlovic, N. (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., & Pavlovic, N. (2021). Rigorous derivation of a ternary Boltzmann Equation for a classical system of particles. Communications in Mathematical Physics, 387(2). 793-863.

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

Presentations

Ampatzoglou, I. TBD. Wave-Kinetic Interfaces: Dispersive Dynamics Meets Kinetic Theory. Oberwolfach, Germany: Mathematisches Forschungsinstitut Oberwolfach. In Progress.

Ampatzoglou, I. TBD. Dynamics across Scales: Bridging Kinetic Theory and Fluid Mechanics. Erwin Schrodinger Institute (ESI), Vienna, AustriaIn Progress.

Ampatzoglou, I. Young's inequality for the Boltzmann gain operator with hard spheres. 15th AIMS Conference. Athens, Greece: AIMS.

Ampatzoglou, I. Moment-preserving Young’s inequality for the Boltzmann gain operatorwith hard-spheres. Workshop on Pure and Applied Analysis 2026. Texas A&M University, TX

Ampatzoglou, I. Collisional averaging in the study of hard-potential kinetic equations. Turbulent Days. Imperial College, London, UK

Ampatzoglou, I. Moment-preserving Young's inequality for the Boltzmann gain operator with hard spheres. AMS Spring Eastern Sectional Meeting. Boston College, Ma: AMS.

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

Ampatzoglou, I. Convolution estimates of the gain Boltzmann operator with hard-spheres. Kinetic Theory: Novel Statistical, Stochastic and Analytical Methods. SL Math, Berkeley, CA: SLMath, NSF.

Ampatzoglou, I. Convolution estimates for the Boltzmann gain operator with hard-spheres. SIAM Conference on Analysis of Partial Differential Equations (PD25). Pittsburgh, PA: SIAM.

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. Integro-differential equations in many-particle interacting systems. American Institute of Mathematics, Caltech, Pasadena, CA: American Institute of Mathematics.

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, TX

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

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

Ampatzoglou, I. Moments estimates and global well-posedness of the binary-ternary Boltzmann equation. 13th AIMS Conference. UNC Wilmington, NC: AIMS.

Other Scholarly Works

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