Giovanna Guidoboni

Curriculum Vitae Et Studiorum

Department of Mathematics, 631 PGH Building,
University of Houston, Houston, Texas 77204-3476,
Phone: +1-713-743-3776, Email: gio@math.uh.edu,
Personal Web Page: http://www.math.uh.edu/~gio/

Education.

03/2004: PhD in Mathematics, University of Ferrara, Italy
US Equivalency: Doctor of Philosophy in Mathematics
Thesis: Linear and nonlinear stability methods with applications to fluid-dynamics
Adviser: Prof. Mariarosaria Padula

04/2003-07/2003: Marie Curie Training Fellowship, University of Surrey, UK
Research Project: Weakly nonlinear stability analysis for a three-dimensional layer of viscous incompressible fluid with a free capillary surface for the pattern selection in Faraday waves
Collaborator: Dr. Anne Skeldon

07/2000: Laurea in Engineering of Materials , University of Ferrara, Italy
US Equivalency: Undergraduate Degree in Materials Engineering and Master of Science in Mechanical Engineering with emphasis on Materials
Final Mark: 110/110 cum laude
Thesis: Energy methods for nonlinear stability of compressible and incompressible fluid flows
Adviser: Prof. Mariarosaria Padula

Appointments

01/2010-present: Visiting Assistant Professor
Department of Mathematical Sciences, Indiana University and Purdue University at Indianapolis, IN, USA

08/2007-present: Tenure-Track Assistant Professor
Department of Mathematics, University of Houston, TX, USA

10/2004-07/2007: Research Assistant Professor
Department of Mathematics, University of Houston, TX, USA

02/2004-07/2004: Fulbright Research Scholar
Department of Mathematics, University of Houston, TX, USA

Research Interests

The main focus of my research is on the mathematical modeling of fluid flow in deformable domains, such as blood flow in arteries (fluid-structure interaction) and coating flows (free capillary surface flows). My goal is to devise new mathematical models for industrial and biological applications, and then to study their mathematical well-posedeness and to find an optimal strategy for their numerical solution.

Grants and Awards.

Finalist for the UH Teaching Excellence Award 2009.

National Science Foundation - Division of Mathematical Sciences
NSF-DMS 0811138, 2008-2011. Total: $285,843, UH share: $122,140.
Investigators: G. Guidoboni (PI), CoPIs: R. Glowinski (U. of Houston), M. Pasquali (Rice U.)
Title: Collaborative Research: Efficient solvers for free boundary flows of complex fluids

IBIS 2008 Seed Grant, Institute for Biomedical Imaging Sciences. $75,000
Investigators: R. Azencott (U. of Houston) (PI), CoPIs: S. Canic, R. Glowinski, G. Guidoboni (U. of Houston); W. Zoghbi, S. Little (The Methodist Hospital)
Title: Mitral Valve: 3D-Image sequence analysis and mechanical modeling

ARP 003652-0051-2006, Texas Education Board Advanced Research Program. $79,000
Investigators: S. Canic (PI), CoPI: G. Guidoboni
Title: Mathematical Models for cardiovascular stenting

Summer Research Grant 2006. $8,700
Department of Mathematics, University of Houston
Investigators: G. Guidoboni (PI)
Title: Operator splitting for the numerical simulation of fluid flow in deformable domains with application to blood flow

Fulbright Research Scholarship (February-July 2004). $11,000
Investigators: G. Guidoboni (PI)
Title: Numerical Algorithms for the simulation of the flow of incompressible viscous fluids in deformable domains

Marie Curie Training Fellowship (April-July 2003). £2,500
Investigators: G. Guidoboni (PI)
Title: Pattern selection in Faraday waves

Fondo Giovani Ricercatori (2002-2003). e2,000
(Young investigators award) University of Ferrara
Investigators: G. Guidoboni (PI), E. Piras (CoPI), B. J. Jin (CoPI)
Title: Mathematical Models in Mathematical Physics

Travel Awards

USACM Travel Award. (USACM: United States Association for Computational Mechanics) 8th World Congress on Computational Mechanics, June 30 - July 4, 2008, Venice, Italy.

IMA - Institute for Mathematics and its Applications.
New Directions Short Course: Biophysical Fluid Dynamics, June 19-30, 2006, Minneapolis, USA.

US Junior Oberwolfach Fellows. Oberwolfach workshop - ID 0544.
Reactive Flow and Transport Through Complex Systems, October 30 - November 5, 2005, Oberwolfach, Germany.

IMA - Institute for Mathematics and its Applications.
Workshop Career Options for Women in Mathematical Sciences, February 4-5, 2005, Minneapolis, USA.

Consulting Activities

Consultant on PRIN (Research Project of Relevant National Interest), 2006-2008
Research Units and Research Units Leaders: Universit´a degli Studi “Magna Grecia di Catanzaro” (Italy) - Leaders: S. De Franciscis, G. Fragomeni; Universit´a degli Studi di Milano (Italy) - Leader: M. Domanin; Universit´a degli Studi di Ferrara (Italy) - Leader: V. Gasbarro.
Title: Bioengineering virtual systems: Fault Detection and Repair Program in Venous System
alterations

Journal Reviewer

Annals of Biomedical Engineering (2009-present)

Communications on Pure and Applied Analysis (CPAA) (2009-present)

International Journal of Heat and Mass Transfer (2009-present)

SIAM Journal of Multiscale Modeling and Simulation (2008-present)

Numerical Algorithms (2008-present)

Mathematical Reviews (2008-present)

European Journal for Applied Mathematics (2007-present)

Journal of Engineering Mathematics (2007-present)

Applications and Applied Mathematics: An International Journal (AAM) (2007-present)

IEEE Transactions on Biomedical Engineering (2006 -present)

Numerische Mathematik (2006 -present)

Proceedings of the American Mathematical Society (2005-present)

Annali Universita' di Ferrara (2005-present)

PhD Students and Post-Doctoral Fellows

Martina Bukac (PhD Student). University of Houston and University of Zagreb (Croatia) 2009- present.
Title of the thesis: Mathematical and computational models for arterial blood flow in real geometries.

Nicola Cavallini (PhD Student). University of Houston and University of Ferrara (Italy) 2008- present.
Title of the thesis: Mathematical models for the venous system.

Taebeom Kim (PhD Student). University of Houston 2006-present.
Title of the thesis: Wellposedeness for mathematical models arising in blood flow applications.

Annalisa Quaini (Post-doctoral Fellow). University of Houston, 2009-present.
Project: development of mathematical models and computational methods to improve the surgical and medical management of mitral valve rigurgitation.

Sergey Lapin (Post-doctoral Fellow). University of Houston 2006-2007.
Currently tenure-track Assistant Professor at Washington State University (Pullman, WA, USA)

Boards and Committees

Mentor for post-doctoral fellows at the Mathematical Biosciences Institute, Columbus, Ohio.

Member of the Steering Committee for the Center of Mathematical Biosciences at Houston

Co-organizer of the Seminars of the Center for Mathematical Biosciences at Houston, Series 2009 - 2010

Member of the Colloquium Seminars Committee, Dept of Mathematics, University of Houston, Series 2009 - 2010

Chair of the Amundson Lecture Series 2009, Dept of Mathematics, University of Houston

Chair of the Colloquium Seminars Committee, Dept of Mathematics, University of Houston, April 2008 - August 2009

Reviewer for the Grants to Enhance and Advance Research (GEAR) Program 2007, University of Houston

Member of the Senior Honors Thesis Committee for Mircea Ionescu in Biomedical Engineering, May 7, 2006. Thesis title: “Numerical Simulation of Flow Through Vasa Vasorum”.

Member of the Judging Committee for the Best Poster Competition in HSEMB 2006 (HSEMB: The Houston Society for Engineering in Medicine and Biology) 23rd Annual Houston Conference on Biomedical Engineering Research February 9-10, 2006, Houston, USA

International Conference Organizer

Organizer of the Minisymposium: Computational Methods for Heterogeneous Systems in the SIAM Conference on Computational Science and Engineering 2009, Miami, Florida, USA, March 2-6, 2009

Organizer of the Minisymposium: Computational Methods for Heterogeneous Systems in the SIAM Conference on Computational Science and Engineering 2007, Costa Mesa, California, USA, February 19-23, 2007

Member of the Organizing Committee of the Italian-RussianWorkshop: Directions in Partial Differential Equations Ferrara, Italy, November 6-9, 2003

Invited Lectures

Rice University (Houston, TX, USA), Department of Computational and Applied Mathematics, November, 2009
Title of the talk: Mathematical and computational modeling of arterial blood flow

Indiana University and Purdue University at Indianapolis (IUPUI), Department of Mathematical Sciences, October 30, 2009. Title of the talk: Modeling of free boundary flows with applications to arterial blood flow

Purdue University (West Lafayette, IN, USA), Department of Mathematics, October 2, 2009
Title of the talk: Mathematical and computational modeling of free surface flows

Indiana University and Purdue University at Indianapolis (IUPUI), Department of Biomedical Engineering, August 6, 2009. Title of the talk: Mathematical and Computational Modeling of Blood Flow

Math4Tech, The Mathematics for Technology Center (Ferrara, Italy), January 8, 2008
Title of the talk: Numerical Methods for incompressible fluid flows with free boundary and strong interfacial effects

Washington State University (Pullman, WA, USA) Dept. of Mathematics, November 8, 2007
Title of the talk: Numerical algorithms for free boundary flows with strong interfacial effects

University of Houston (Houston, TX, USA), Dept. of Mathematics, May 21, 2004.
Title of the talk: Free boundary problems for incompressible fluids: stability analysis and computational perspective.

University of Ferrara (Ferrara, Italy), Dept. of Mathematics, January 28, 2004.
Title of the talk: Faraday waves: weakly nonlinear stability and pattern selection.

University of Surrey (Guilford, UK), Dept. of Mathematics and Statistics, May 28, 2003.
Title of the talk: Generalized energy methods for nonlinear stability for incompressible fluids and free-boundary problems.

Invited Research Visits

Indiana University and Purdue University at Indianapolis (IUPUI), Department of Mathematical Sciences and Center of Mathematical Biosciences, Indianapolis, IN, July 1 - August 15, 2009

Newcastle University, School of Mathematics and Statistics, Newcastle upon Tyne (UK), July 7-14, 2006

University of Surrey, Department of Mathematics, Guilford (UK), July 3-7, 2006

Institut Non Lineaire de Nice Sophia Antipolis, Valbonne (France), November 16-21, 2003

University of Surrey, Department of Mathematics, Guilford (UK), December 8-16, 2003

Conference Presentations

Invited Speaker. SIMAI Biannual Congress June 21-25, 2010, Cagliari, Italy.

Imvited Speaker. ECCM/ECCOMAS 2010- IV European Conference on Computational Mechanics. Solids, structures and coupled problems in engineering, May 16-21, 2010, Paris, France. Minisymposium: Computational Fluid-Structure Interaction and Multi-Material Problems.

Invited Speaker. Conference on Harmonic Analysis and PDEs at the University of Nebraska-Lincoln, April 17-18, 2010, Lincoln, Nebraska, USA

Invited Plenary Speaker. MBI Workshop on Computational challenges in integrative biological modeling, October 5-9, 2009, Columbus, Ohio, USA

Invited Speaker. The IMACS World Congress, Computational and Applied Mathematics \& Applications in Science and Engineering, August 3-7, 2009, Athens, Georgia, USA. Minisymposium: Numerical Methods in Cardiovascular Problems.

Invited Speaker. USNCCM-10 - 10th US National Congress on Computational Mechanics, July 16-19, 2009, in Columbus, Ohio. Minisymposium: Biofluids and coupled problems in biomechanics.

Invited Speaker. SIAM Conference on Life Science (LS08), August 4-7, 2008, Montreal, Quebec, Canada. Minisymposium: Modeling, Analysis and Simulation in Blood Flow

Invited Speaker. WCCM8 (8th World Congress on Computational Mechanics) and ECCOMAS 2008 (5th European Congress on Computational Methods in Applied Sciences and Engineering), June 30 -July 4, 2008, Venice, Italy. Minisymposium: Biofluids and coupled problems in Biomechanics.

Invited Speaker. IPAM Workshop IV Optimal Transport in the Human Body: Lungs and Blood, May 19 - 23, 2008, Los Angeles, CA, USA

Invited Speaker. SIAM Conference on Analysis of Partial Differential Equations (PD07), December 10-12, 2007, Mesa, AZ, USA. Minisymposium: Fluid-Structure Interaction in Blood Flow

Invited Speaker. 4th International Conference on Finite Elements in Flow Problems, March 26 - 28, 2007, Santa Fe, NM, USA. Minisymposium: Flows of Biological and Complex Fluids. (Invited but not accepted due to time conflict)

Invited Speaker. HSEMB 2007 (The Houston Society for Engineering in Medicine and Biology) 24th Annual Houston Conference on Biomedical Engineering Research, Houston, USA, February 8-9, 2007. (Invited but not accepted due to time conflict)

SIAM Conference on Life Science LS06, July 31- August 4, 2006, Raleigh, USA. Title of the talk : Numerical Simulation of Fluid Flow in Deformable Domains with Application to Blood Flow.

7th World Congress on Computational Mechanics, Los Angeles, July 16 - 22, 2006. Title of the talk : Numerical Simulation of Fluid Flow in Deformable Domains with Application to Blood Flow.

Invited Speaker. HSEMB 2006 (The Houston Society for Engineering in Medicine and Biology) 23rd Annual Houston Conference on Biomedical Engineering Research, Houston, USA, February 9-10, 2006. Title of the talk: Finite Elements and Operator Splitting Method for the Numerical Simulation of Fluid Flow in Deformable Domains with Application to Blood Flow.

Invited Speaker. Reactive Flow and Transport Through Complex Systems - ID 0544 Oberwolfach, Germany, October 30- November 5, 2005. Title of the talk: Uniqueness for weak solutions of a fluidstructure interaction problem.

Invited Participant. IMAWorkshop Career Options forWomen in Mathematical Sciences. (IMA: Institute for Mathematics and its Applications) Minneapolis (MN), USA, February 4-5, 2005

Invited Speaker. IFIP Conference: Free and Moving Boundaries Analysis, Simulation and Control. (IFIP: International Federation for Information Processing) Houston (TX), USA, December 2-4, 2004. Title of the talk: Nonlinear stability of the flat-surface state in Faraday experiment.

Invited Speaker. WCNA 2004 Fourth World Congress of Nonlinear Analysis Orlando (FL), USA, June 30 July 7, 2004. (Invited but not accepted due to time conflict)

Directions in Partial Differential Equations, Italian-Russian Workshop, Ferrara, Italy, November 6-9, 2003. Title of the talk: On the stability of compressible B´enard problem.

Trends in Partial Differential Equations of Mathematical Physiscs, Obidos, Portugal, June 7-10, 2003. Title of the talk: On the compressible B´enard problem.

NSEQ8 - Navier-Stokes Equations and Related Problems, Saint Petersburg, Russia, September 11-18, 2002. Title of the talk: On the nonlinear stability of the B´enard-Marangoni problem.

MFM2 - Mathematical Fluid Mechanics. Recent results and open questions, Trest, Czech Republic, July 6-11, 2002. Title of the talk: Nonlinear stability of B´enard problem.

Free Boundary Problems: Theory and Applications, Trento, Italy, June 5-8, 2002. Title of theposter presented: On the Nonlinear B´enard Problem.

Publications

Refereed Journals.

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

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

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

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

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

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. Indust. Appl. Math., Vol. 25 (2008) 1-63

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

E.J. Dean, R. Glowinski, G. Guidoboni. On the numerical simulation of Bingham visco-plastic flow: an historical perspective. J. Non-Newtonian Fluid Mech., Vol. 142 (2007) 36-62.

A. C. Skeldon, G. Guidoboni. Pattern selection for Faraday waves in an incompressible viscous fluid. SIAM Journal of Applied Mathematics, Vol. 67, No. 4 (2007) 1064-1100

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 Journal of Applied Mathematics Vol. 67, No. 1 (2006) 164-193.

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, Annals of Biomedical Engineering, Vol. 34, No. 4 (2006) 575-92

R. Glowinski, G. Guidoboni, T-W Pan. Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Journal of Computational Physics, Vol. 216, No. 1 (2006) 76-91

G. Guidoboni, B.J. Jin. On the nonlinear stability of Marangoni-Benard problem with free surface in the Boussinesq approximation. Math. Mod. and Meth. in Appl. Sci., Vol 1, No. 15, 2005

Proceedings and Other Publications.

G. Guidoboni, M. Padula. Uniqueness of weak solutions for a 2-d fluid-structure interaction problem, Oberwolfach Report no. 49

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

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. Linear and nonlinear stability methods with applications to fluid-dynamics. PhD Thesis. Department of Mathematics, University of Ferrara (2004)

G. Guidoboni, M. Padula. On the compressible B´enard problem. Proceedings of the International Conference on Trends in Partial Differential Equations of Mathematical Physics, Obidos, Portugal, June 7-10, 2003

V. Coscia, G. Guidoboni, M. Padula. On the nonlinear stability of magnetic B´enard 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

Teaching Experience

Meccanica Razionale, Faculty of Engineering, University of Ferrara, Teaching Assistant, 2002-2003

Engineering Mathematics, MATH 3321, University of Houston, Spring 2005, Undergraduate Class

Mathematical Modeling, MATH 5397, University of Houston, Spring 2005, Spring 2006, Fall 2008, Graduate Class, Online Course

Concepts in Algebra, MATH 2303, University of Houston, Fall 2005, Spring 2006, Fall 2006, Fall 2007, Undergraduate Class

Applicable Analysis, MATH 6360, University of Houston, Fall 2005, Graduate Class

Differential Equations, MATH 5332, University of Houston, Spring 2007, Graduate Class, Online Course

Discrete Mathematics, MATH 3336, University of Houston, Spring 2008, Undergraduate Class

Advanced Linear Algebra II, MATH 4378-6309, University of Houston, Spring 2009, Senior Undergraduate - Graduate Class

Advanced Linear Algebra I, MATH 4377-6308, University of Houston, Fall 2009, Senior Undergraduate - Graduate Class

Calculus for Technology I, MATH 222, Indiana University and Purdue University at Indianapolis, Spring 2010, Undergraduate

International Schools

New Directions Short Course: Biophysical Fluid Dynamics, IMA, June 19 - 30, 2006, Minneapolis,USA

Mathematical Foundation of Turbulent Viscous Flow, C.I.M.E. Summer School, Martina Franca (Ta), September 1-6, 2003, Italy

Mathematical Modelling and Numerical Simulation of the Cardiovascular System, Scuola Normale Superiore, Pisa, February 11-22, 2002, Italy

XXVI Summer School on Mathematical Physics, Ravello (Sa), September 10-22, 2001, Italy

ISAM 2001 Industrial Mathematics, International Summer School, Siena, Certosa di Pontignano, July 22-28, 2001, Italy