Lorenzo Pompili

RG Analysis and Partial Differential Equations

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Starting from October 2020 I am a graduate student in the Analysis and Partial Differential Equations group of the Hausdorff Center of Mathematics, Mathematical Institute, University of Bonn, Germany. My PhD advisor is Prof. Dr. Herbert Koch. Here is my CV.

Research

I am working in Partial Differential Equations, and I am especially interested in nonlinear dispersive waves. I have been recently focusing on completely integrable PDEs; a kind of problem I am dealing with is long time dynamics and soliton stability.

This is the list of my papers:

1. On the stability of the KP-II line soliton via a Bäcklund transformation. (Available soon on Arxiv)

Moreover, I have worked on my master's thesis on the Nonlinear Schrödinger equation. My Master's supervisor was Piero D'Ancona. Slides: song.