Gino Biondini: Research interests

Prof. Biondini's interests are in the field of physical applied mathematics.  The study of natural phenomena by means of mathematical models is an essential component of applied mathematics. In a large number of cases, these models lead to a certain class of nonlinear and/or stochastic partial differential equations. The study of these equations is especially attractive because it offers a unique combination of interesting mathematics and concrete physical/technological applications.

Prof. Biondini's research has two distinct but related goals. The first one is to understand the properties of these equations and their solutions and to investigate their surprisingly rich mathematical structure. This line of research often requires a combination of techniques from different branches of pure and applied mathematics. The second goal concerns the application of these nonlinear and/or stochastic differential equations to concrete physical systems, aiming at producing results of practical usefulness. This can be accomplished using exact methods, approximations (such as asymptotics and perturbative methods), numerical simulations or combinations of these approaches. Applications considered by Prof. Biondini are water waves and nonlinear optics.

Selected publications

Other highly cited works