fluid-structure interaction

scientific coordinator: Filippo Gazzola

 

The goal is to address key questions concerning the behavior of fluids in interaction with complex structures, like the stability of both the fluid and the structure or optimal position and shape optimization of the structure within the fluid, by theoretical and computer-assisted methods.

• F. Gazzola, H. C. Grunau, G. Sperone, "A unified approach to the divergence equation and related functional inequalities", preprint arXiv:2608.25861 [math.AP];
• F. Gazzola, "Finite-time blow-up for the forced 2D Navier-Stokes equations", preprint arXiv:2608.18802 [math.AP];
• A. Falocchi, A. L. Silvestre, G. Sperone, "On the evolutionary Navier-Stokes equations in distorted pipes under dynamic and energy-stable outflow boundary conditions", preprint arXiv:2608.08841 [math.AP];
• A. Agosti, A. Giorgini, "Numerical analysis and coarsening dynamics of the Active Cahn-Hilliard equation", preprint arXiv:2608.07450 [math.NA];
• M. Conti, A. Giorgini, G. Ricchi, "Global weak solutions to the Cahn-Hilliard equation with degenerate mobility and singular diffusion", preprint arXiv:2608.06371 [math.AP];
• G. P. Galdi, F. Gazzola, "Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations", preprint arXiv:2606.15189 [math.AP];
• E. Bocchi, F. Gazzola, A. Hidalgo-Torné, "On spiral steady flows for the Couette-Taylor problem", preprint arXiv:2603.05401 [math.AP];
• A. Giorgini, J. He, H. Wu, "On a thermodynamically consistent diffuse-interface model for incompressible two-phase flows with chemotaxis and mass transport", preprint arXiv:2512.22585 [math.AP];
• D. Basaric, A. Giorgini, "Global weak solutions to a compressible Navier--Stokes/Cahn--Hilliard system with singular entropy of mixing", preprint arXiv:2506.07835 [math.AP];
• A. Falocchi, A. L. Silvestre, G. Sperone, "On the stationary Navier-Stokes equations in distorted pipes under energy-stable outflow boundary conditions", preprint arXiv:2506.07331 [math.AP]; 
• F. Gazzola, M. V. Korobkov, X. Ren, G. Sperone, "The steady Navier-Stokes equations in a system of unbounded channels with sources and sinks", preprint arXiv:2505.14642 [math.AP];
• M. Garrione, E. Pastorino,"Stability analysis for a nonlocal asymmetric PDE model related to suspension bridge dynamics", preprint Research Gate.