Publications


Refereed research articles.
  1. G. Guidoboni, B.J. Jin, "On the Nonlinear Stability of Marangoni-Benard Problem with Free Surface in the Boussinesq Approximation", Math. Models Methods Appl. Sci., Vol. 15, No.1 (2005) 1-22.

  2. R. Glowinski, G. Guidoboni, T-W Pan, "Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity", J. Comput. Phys., Vol. 216, No. 1 (2006) 76-91. pdf
    3. Some movies:
  3. S. Canic, C.J. Hartley, D. Rosenstrauch, J. Tambaca, G. Guidoboni, A. Mikelic, "Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics and experimental validation", Ann. Biomed. Eng., Vol. 34, No. 4 (2006) 575-92 pdf

  4. S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch, "Modeling viscoelastic behaviour of arterial walls and their interaction with pulsatile blood flow". SIAP, Vol. 67 Issue 1 (2006) 164-193.

  5. A. C. Skeldon, G. Guidoboni, "Pattern selection for Faraday waves in an incompressible viscous fluid". SIAM Journal of Applied Mathematics, Vol. 67 Issue 4 (2007) 1064-1100 pdf

  6. E.J. Dean, R. Glowinski, G. Guidoboni, "On the numerical simulation of Bingham visco-plastic flow: old and new results". J. Non-Newtonian Fluid Mech., Vol. 142 (2007) 36-62.

  7. A. Mikelic, G. Guidoboni, S. Canic, "Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem". Networks and Heterogeneous Media, Vol. 2, No. 3 (2007) 397-423

  8. R. Glowinski, G. Guidoboni, "Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach.". J. Math. Fluid Mech. Vol 10 (2008) 434-454. Click here to see a movie

  9. R. Glowinski, E.J. Dean, G. Guidoboni, H.L. Juarez, T.-W. Pan, "Applications of Operator-Splitting methods to the direct simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monge-Ampere equation". Japan J. of Indust. Appl. Math., 25, (2008) 1-63

  10. G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, S. Lapin, A kinematically coupled time-splitting scheme for the fluid-structure interaction in blood flow . Accepted for publication in Applied Math. Letters.

  11. G. Guidoboni, R. Glowinski, M. Pasquali, "Operator Splitting for the numerical solution of free surface flow at low capillary numbers". Submitted to Journal of Computational and Applied Mathematics.

  12. R. Azencott, R. Glowinski, G. Guidoboni, I. Timofeyev, "Dissipative effect of chaotic boundary motion on an incompressible viscous flow" . In preparation. Click here to see a movie.
Conference Proccedings and other publications.
  1. V. Coscia, G. Guidoboni, M. Padula, "On the nonlinear stability of the magnetic Benard problem", The Navier-Stokes equations: theory and numerical methods (Varenna, 2000), 27--32, Lecture Notes in Pure and Appl. Math., 223, Dekker, New York, 2002.

  2. G. Guidoboni, "Linear and Nonlinear Stability Methods with Application to Fluid-Dynamics", PhD Thesis, Department of Mathematics, University of Ferrara (2004) .

  3. G. Guidoboni, M. Padula, "On the Benard problem", Progress in Nonlinear Differential Equations and Their Applications, Vol. 61 (2005) 137-148.

  4. G. Guidoboni, "On the nonlinear stability of the flat-surface state in the Faraday experiment", Proceedings of IFIP, Houston, December 2004

  5. G. Guidoboni, "Metodi di stabilita' lineare e nonlineare con applicazioni alla fluidodinamica", Bollettino UMI Sez. A, Fascicolo 3/1 (2005).

  6. G. Guidoboni (joint work with M. Padula), "Uniqueness of weak solutions for a fluid-structure interaction problem", Oberwolfach Report no. 49 (2005) pdf