Ricardo Grande (SISSA)
Biography
I am an Assistant Professor (RTD-A) at SISSA.
Previously, I was a Postdoctoral Researcher at École Normale Supérieure working with Isabelle Gallagher and Laure Saint-Raymond. During 2020-21, I was a Postdoctoral Assistant Professor at the University of Michigan – Ann Arbor working with Zaher Hani. I obtained my PhD from MIT in 2020, under the supervision of Gigliola Staffilani.
More about me can be found in my CV.
Address: Office A-727, Scuola Internazionale Superiore di Studi Avanzati (SISSA), via Bonomea 265, 34136 Trieste, Italy
Email: rgrandei [at] sissa [dot] it
I am interested in Hydrodynamic and Wave Turbulence, Dispersive and Kinetic PDEs, Probability and Harmonic Analysis.
Here are some of my publications:
- Resonant large deviations principle for the beating NLS equation, preprint (2024)
- Rigorous derivation of damped-driven wave turbulence theory (with Z. Hani), preprint (2024)
- On the convergence rates of discrete solutions to the Wave Kinetic Equation (with M. Dolce), Math. Eng. 6 (4), 536-558 (2024)
- Numerical simulations of a stochastic dynamics leading to cascades and loss of regularity: applications to fluid turbulence and generation of fractional Gaussian fields (with G. Beck, C.-E. Bréhier, L. Chevillard and W. Ruffenach), Phys. Rev. Research 6, 033048 (2024)
- A Linear Stochastic Model of Turbulent Cascades and Fractional Fields (with G.B. Apolinario, G. Beck, L. Chevillard and I. Gallagher), to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (2023)
- Large deviations principle for the cubic NLS equation (with M.A. Garrido, K. M. Kurianski and G. Staffilani), Comm. Pure Appl. Math. (2023)
- Continuum limit for discrete NLS with memory effect, to appear in Journal of Nonlinear Modeling and Analysis (2024)
- On the nonlinear Dysthe equation (with K. M. Kurianski and G. Staffilani), Nonlinear Analysis 207, 112292 (2021)
- Space-time fractional nonlinear Schrödinger equation, SIAM J. Math. Anal (2019), 51(5), 4172-4212
- Equisizable partial sum families (with I. Kovács, K. Kutnar, A. Malnič, L. Martínez and D. Marušič), J Algebr Comb 51, 273–296 (2020)
- On embeddings of circulant graphs (with Marston Conder), Electronic Journal of Combinatorics 22 (2015), P2.28