Gino Biondini
PhD
Professor
Research Interests
Applied mathematics, nonlinear waves, solitons, integrable systems, inverse problems, applied probability, stochastic processes, optics.
Education
PhD, Theoretical Physics, University of Perugia, Italy
Research Summary
Applied mathematics, nonlinear waves, solitons, integrable systems, inverse problems, applied probability, stochastic processes, optics.
The study of physical phenomena by means of mathematical models often leads to certain nonlinear partial differential equations which reveal a surprisingly rich mathematical structure. The study of these equations thus offers a unique combination of interesting mathematics and concrete physical/technological applications.
Professor Biondini's research has two main goals: The first goal is to understand the properties of these equations and their solutions. This kind of research is usually called the study of "integrable systems", and requires a combination of techniques from different branches of mathematics. The second goal is to study the application of these nonlinear and/or stochastic systems to concrete physical situations, with the aim of obtaining results of practical usefulness. This often requires studying the combined effects of several kinds of perturbations which are often stochastic in nature, and can be done using exact methods, approximations (such as modeling, asymptotics and perturbative techniques), numerical methods (numerical modeling, Monte-Carlo simulations and variance reduction techniques) or combinations of all these approaches. Specific applications considered by Prof. Biondini are optical fiber communications, nonlinear optics and water waves.
Selected Publications
A. Abeya, G. Biondini, G. Kovačič and B. Prinari , Communications in Mathematical Physics 405, 192 (2024)
A. Romero-Ros, G. C. Katsimiga, S. I. Mistakidis, S. Mossman, G. Biondini, P. Schmelcher, P. Engels and P. G. Kevrekidis, , Physical Review Letters 132, 033402 (2024)
G. Biondini, X.-D. Luo, J. Oregero and A. Tovbis, , Advances in Mathematics 429, 109188 (2023)
G. Biondini, S. Li and D. Mantzavinos, , Communications in Mathematical Physics 382, 1495–1577 (2021)
G. Biondini, S. Li, D. Mantzavinos and S. Trillo, , SIAM Review 60, 888--908 (2018) [cited 47 times]
G. Biondini and D. Mantzavinos, , Communications on Pure Applied Mathematics 70, 2300--2365 (2017) [cited 98 times]
M. J. Ablowitz, G. Biondini and Q. Wang, , Royal Society Proceedings A 473, 20160695 (2017) [cited 26 times]
G. Biondini and T. Trogdon, , SIAM J. Applied Mathematics 77, 813--817 (2017)
G. Biondini and D. Mantzavinos, , Physical Review Letters 116, 043902 (2016) [cited 130 times]
G. Biondini, D. K. Kraus and B. Prinari, , Communications in Mathematical Physics 348, 475--533 (2016) [cited 64 times]
S. Trillo, G. Deng, G. Biondini M. Klein, A. Chabchoub and M. Onorato, , Physical Review Letters 117, 144102 (2016) [cited 60 times]
G. Biondini and G. Kovačič, , J. Mathematical Physics 55 031506 (2014) [cited 238 times]
G. Biondini and G. Hwang, , J. Physics A 42, 205207 (2009) [cited 47 times]
G. Biondini, , Physical Review Letters 99, 064103 (2007) [cited 74 times]
J. Li, E. Spiller and G. Biondini, , Physical Review A 75, 053818 (2007) [cited 28 times]
G. Biondini and Y. Kodama, , J. Nonlinear Science 16, 435-481 (2006) [cited 51 times]
B. Prinari, M. J. Ablowitz and G. Biondini, , J. Mathematical Physics 47, 063508 (2006) [cited 176 times]
G. Biondini and S. Chakravarty, , J. Mathematical Physics 47, 033514 (2006) [cited 126 times]
G. Biondini and Y. Kodama, , J. Physics A 36, 10519-10536 (2003) [cited 141 times]
G. Biondini, W. L. Kath and C. R. Menyuk, , IEEE Photonics Technololgy Letters 14, 310-312 (2002) [cited 118 times]
G. Biondini and M. J. Ablowitz, , Optics Letters 23, 1668-1670 (1998) [cited 274 times]