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.

 

publications

  • A. Falocchi, F. Gazzola, “The kernel of the strain tensor for solenoidal vector fields with homogeneous normal trace”, in Proceedings of the Portugal-Italy Conference on "Nonlinear Differential Equations and Applications" (PICNDEA22), CIM Ser. Math. Sci., to appear;
  • G. Sperone, “Homogenization of the steady-state Navier Stokes equations with prescribed flux rate or pressure drop in a perforated pipe”, J. Differential Equations 375, 653-681, 2023;
  • M.o de Miranda, M.a de Miranda, A. Falocchi, A. Ferrero, L. Marinini, "Elasticity solution for a hollow cylinder under axial end loads: Application to a blister of a stayed bridge", Z. Angew. Math. Mech. 103, e202300169, 2023;
  • E. Bocchi, F. Gazzola, "Asymmetric equilibrium configurations of a body immersed in a 2D laminar flow", Z. Angew. Math. Phys. 74, 180, 2023;
  • A. Giorgini, A. Ndongmo Ngana, T. Tachim Medjo, R. Temam, "Existence and regularity of strong solutions to a nonhomogeneous Kelvin-Voigt-Cahn-Hilliard system", J. Differential Equations 372, 612-656, 2023;
  • F. Gazzola, V. Pata, C. Patriarca, "Attractors for a fluid-structure interaction problem in a time-dependent phase space", J. Funct. Anal. 286, 110199, 2024;
  • M. Garrione, E. Pastorino, "Long-time behaviour for solutions of systems of PDEs modeling suspension bridges", in Proceedings of the Portugal-Italy Conference on "Nonlinear Differential Equations and Applications" (PICNDEA22), CIM Ser. Math. Sci., to appear;
  • R. Feola, F. Giuliani, F. Iandoli, J.E. Massetti, "Local well posedness for a system of quasilinear pdes modelling suspension bridges", preprint arXiv:2306.11037 [math.AP];
  • P. Baldi, F. Giuliani, M. Guardia, E. Haus, "Effective chaos for the Kirchhoff equation on tori", preprint arXiv:2303.00688 [math.AP];
  • R. Feola, F. Giuliani, F. Iandoli, J.E. Massetti, "Local well posedness for a system of quasilinear PDEs modelling suspension bridges", Nonlinear Anal. 240, 113442, 2024;
  • C. Patriarca, G. Sperone, "Homogenization of Leray's flux problem for the steady-state Navier-Stokes equations in a multiply-connected planar domain", preprint arXiv:2312.00945 [math.AP];
  • E. Berchio, A. Falocchi, C. Patriarca, "On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions", Nonlinear Anal. RWA 79, 104102, 2024;
  • A. Giorgini, "On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions", J. Evol. Equ. 24, 21, 2024;
  • E. Bocchi, F. Gazzola, "A measure for the stability of structures immersed in a 2D laminar flow", preprint arXiv:2404.05314 [math.AP].