Contact Information
327 CAB, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
My research area is Harmonic Analysis and Partial Differential Equations. More precisely I am studying the long time behavior and the regularity properties of dispersive partial differential equations.
External Links
Recent Publications
Burak Erdoğan, M., & Tzirakis, N. (2024). Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Journal of Mathematical Physics, Analysis, Geometry, 20(4), 405-422. https://doi.org/10.15407/mag20.04.01
Compaan, E., Shin, W., & Tzirakis, N. (2024). Well-posedness for the Schrödinger-KdV system on the half-line. Journal of Mathematical Analysis and Applications, 537(2), Article 128313. https://doi.org/10.1016/j.jmaa.2024.128313
Compaan, E., & Tzirakis, N. (2023). LOW REGULARITY WELL–POSEDNESS FOR DISPERSIVE EQUATIONS ON SEMI–INFINITE INTERVALS. Communications on Pure and Applied Analysis, 22(8), 2481-2500. https://doi.org/10.3934/cpaa.2023074
Compaan, E., & Tzirakis, N. (2023). Sharp well-posedness of the biharmonic Schrödinger equation in a quarter plane. Partial Differential Equations and Applications, 4(6), Article 48. https://doi.org/10.1007/s42985-023-00266-8
Compaan, E., & Tzirakis, N. (2020). Sharp well-posedness for the generalized KdV of order three on the half line. Physica D: Nonlinear Phenomena, 402, Article 132208. https://doi.org/10.1016/j.physd.2019.132208