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.

Parers and preprints:

1. L. P. On the Bäcklund transform and the stability of the line soliton of the KP-II equation on R^2. Preprint: arxiv:2412.12530, 2024.