Publications

Refereed research articles.

G. Guidoboni, M. Guidorzi, M. Padula, Continuous dependence on initial data in fluid-structure motions. Submitted to SIAM Journal on Mathematical Analysis.

S. Canic, A. Mikelic, T. Kim, G. Guidoboni, Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow. Submitted to IMA Proceedings.

A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. R. Igo, C. J. Hartley, W. A. Zoghbi, S. H. Little, Validation of a computational fluid dynamics model to study the assessment and severity of mitral valve regurgitation using echocardiography. Submitted to Ultrasounds in Medicine and Biology.

J. I. Diaz, G. Guidoboni, T. Kim, R. Glowinski, Qualitative properties of the solutions to Bingham flow type problems: on the geometry of their support and their stabilization for large time. Submitted to Serie A: Matemáticas, of the Review of the Royal Academy of Exact, Physical and Natural Sciences.

T. Kim, S. Canic, G. Guidoboni, Existence and uniqueness of a solution to a three-dimensional axially symmetric Biot problem arising in modeling blood flow. Accepted for publication in Communications in Pure and Applied Analysis.

G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. J. Comput. Phys. Vol. 228, Issue 18 (2009) 6916-6937. pdf
Movie 1: Benchmark problem, structure and fluid densities ratio equal to 1.
Movie 2: Benchmark problem, structure and fluid densities ratio equal to 0.1.

R. Glowinski, G. Guidoboni, On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions. Comptes Rendus Mathematique. Vol. 347, Issues 15-16 (2009) 903-908. pdf

G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, S. Lapin, A kinematically coupled time-splitting scheme for the fluid-structure interaction in blood flow. Appl. Math. Lett., Vol. 22, (2009) 684-688. pdf

G. Guidoboni, R. Glowinski, M. Pasquali, Operator Splitting for the numerical solution of free surface flow at low capillary numbers. J. Comput. Appl. Math. Vol. 232, Issue 1 (2009) 72-81. pdf.
Click here to see a movie.

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. pdf

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. pdf. Click here to see a movie

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. pdf

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. pdf

A. C. Skeldon, G. Guidoboni, Pattern selection for Faraday waves in an incompressible viscous fluid. SIAM J. Appl. Math., Vol. 67 Issue 4 (2007) 1064-1100. pdf

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". SIAM J. Appl. Math., Vol. 67 Issue 1 (2006) 164-193. pdf

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

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
Simulation: a steady state is reached (Re=3000)
Simulation: instability (Re=10000)

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

Conference Proccedings and other publications.

G. Guidoboni, On the nonlinear stability of the flat-surface state in the Faraday experiment, Free and moving boundaries, 363--374, Lect. Notes Pure Appl. Math., 252, Chapman & Hall/CRC, Boca Raton, FL (2007)

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

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

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

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

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