Foto del docente

Simonetta Abenda

Associate Professor

Department of Mathematics

Academic discipline: MAT/05 Mathematical Analysis

Research

Keywords: integrable Hamiltonian Systems exact solutions asymptotic behaviour of solutions in space time direct and inverse spectral problems application of algebraic combinatorics to integrable systems applications of graph theory to integrable systems

Theory of integrable Hamiltonian systems:

- Highly oscillatory Hamiltonian PDEs, asymptotic solutions
- Applications of the analytic theory of Riemann surfaces to shallow water waves
- Finite dimensional Hamiltonian integrable systems

- Connections between total positivity and spectral properties of degenerate solutions of integrable hierarchies