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Publications
Refereed research
articles.
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.
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)
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
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.
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
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.
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
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
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
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.
G. Guidoboni, R. Glowinski,
M. Pasquali, "Operator Splitting for the numerical solution of
free surface flow at low capillary numbers". Accepted for
publication in Journal
of Computational and Applied Mathematics.
Conference Proccedings
and
other publications.
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.
G.
Guidoboni, "Linear
and Nonlinear Stability Methods with Application to Fluid-Dynamics",
PhD Thesis, Department of Mathematics, University of Ferrara (2004) .
G.
Guidoboni, M. Padula, "On
the Benard problem", Progress in Nonlinear Differential Equations
and Their Applications, Vol. 61 (2005) 137-148.
G. Guidoboni, "On the
nonlinear stability of the flat-surface state in the Faraday experiment",
Proceedings of IFIP, Houston, December 2004
G. Guidoboni, "Metodi
di stabilita' lineare e nonlineare con applicazioni alla fluidodinamica",
Bollettino UMI Sez. A, Fascicolo 3/1 (2005).
G.
Guidoboni (joint work with
M. Padula), "Uniqueness of weak solutions for a fluid-structure
interaction problem", Oberwolfach Report no. 49 (2005) pdf
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Current Address: Department of Mathematics, PGH Building, University of
Houston, Houston, Texax 77204-3008
Phone: (713) 743-3500 - Fax: (713) 743-3505
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