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

(2026). Smoothing of the hard potential Boltzman gain operator. In Progress.

(2026). MOMENT ESTIMATES AND WELL-POSEDNESS OF THE BINARY-TERNARY BOLTZMANN EQUATION. PURE AND APPLIED ANALYSIS,

(2026). On the optimal local well-posedness of the wave kinetic equation in $L^r$. Journal of Differential Equations,

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

(2025). DERIVATION OF THE KINETIC WAVE EQUATION FOR QUADRATIC DISPERSIVE PROBLEMS IN THE INHOMOGENEOUS SETTING. AMERICAN JOURNAL OF MATHEMATICS,

(2025). On the ill-posedness of kinetic wave equations. NONLINEARITY,

(2025). Convolution estimates for the Boltzmann gain operator with hard spheres.

(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.

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

(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,

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). Global existence of strong solutions to the Inhomogeneous Kinetic Wave equation. Communications in Mathematical Physics,

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.

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

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

Ampatzoglou, I. Young's inequality for the Boltzmann gain operator with hard spheres. AIMS Conference on Dynamical Systems, Differential Equations and Applications. Athens, Greece: AIMS. In Progress.

Ampatzoglou, I. Analysis of kinetic equations. Turbulent Days, Imperial College, London, UK. In Progress.

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

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

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

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

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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