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Research Profile
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  Faculty Profile  Faculty ProfileLast Modified Time: 11:00:10 AM Fri, 31 Jan 2014 
 Santiago I. Betelu
 Contact Information
Santiago I. Betelu
Adjunct Faculty-Mathematics
Email    Fax No: 940-565-4805   
toggle toggle Professional Preparation
 Doctor of PhilosophyPhysics; Thesis: Plane Stokes Flows near singular points of the free surfaceUNCPBA, Argentina1997
 Batchelor of SciencePhysics; Thesis: Columnar to Equiaxed Transicion in Aluminum base AlloysUNCPBA, Argentina (Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina)1994
toggle toggle Courses Taught By Semester --- Organized Classes will be uploaded from THECB Data file
SemesterSubjectCourse NumberSectionCourse NameCalculated Semester Credit HoursSyllabus 
Spring 2014MATH3410002Differential Equations I Download Syllabus
Spring 2014MATH3420001Differential Equations II Download Syllabus
Fall 2013MATH1680014Elementary Probability and Statistics Download Syllabus
Fall 2013MATH1680861Elementary Probability and Statistics Download Syllabus
Fall 2013MATH3350001Introduction to Numerical Analysis Download Syllabus
Spring 2011MATH1710624Calculus I Download Syllabus
Spring 2011MATH3310001Differential Equations for Engineering Majors Download Syllabus
Fall 2010MATH1650622Pre-Calculus Download Syllabus
Fall 2010MATH1780001Probability Models Download Syllabus
Spring 2010MATH3310001Differential Equations for Engineering Majors156 
Spring 2010MATH3420001Differential Equations II63 
Fall 2009MATH3310002Differential Equations for Engineering Majors246 
Fall 2009MATH3350001Introduction to Numerical Analysis75 
toggle toggle Research and Expertise
Assistant Professor at the Mathematics Department of the University of North Texas since July 2002
1- Applied fluid dynamics. Lubrication theory, spreading of liquids on solid substrates, partial differential equations of nonlinear degenerate diffusion. 2- Numerical analysis of the Allen Cahn equations applied to the curvature flow of curves with triple joints: finite differences methods and boundary value problems. 3- Electrically charged fluids with free surfaces: lubrication theory, boundary elements methods and asymptotic analysis. 4- Variational methods for image interpolation. 5- Study of the dynamics of electrically charged fluids.

Postdoctoral Position at Kansas State University from November 1997 to November 1998, as a Research Associate at the Physics Department
1- Experimental ellipsometry for the measurement of ultra-thin films of fluids on silicon substrates. Developped software for analysis of ellipsometric data. Preparation and cleaning of silicon surfaces and theoretical modeling of liquid crystals spreading. 2- Design of optical measurements and experiments for the measurement of line tension including fabrication of silane monolayers, and design of an interferometric microscope.

Postdoctoral position at the Institute of Mathematics and its Applications from July 2000 to July 2002
1- Image processing, smoothing of 3D textured surfaces, Mathematics in Multimedia. 2- Scaling and self-similarity in fluid mechanics. Gasdynamics and porous medium flows. Thin films and lubrication approximation. Micromagnetism and Landau-Lifshitz equations. Development of numerical techniques.

Research during my Ph.D in Argentina from May 1994 to November 1997
1- Theoretical Fluid Mechanics: simulation of the spreading of viscous liquids on plane substrates. Computations with boundary elements methods, finite differences and construccion of explicit solutions to the Stokes equations. 2- Experimental Fluid Mechanics: design and implementation of optical diagnostics based on interferometry, schlieren and shadowgraphy for the measurement on viscous flows. Experiments in spreadings and cusps formation in flows of small Reynolds number.

Visiting Assistant Professor at the Mathematics Department of the University of Minnesota from November 1998 to July 2000
1- Modelling of porous medium flows with 2D finite differences, numerical renormalization and ENO discretizations, and construction of exact and approximate 2D selfsimilar solutions for thin film flows of viscous liquids on plane surfaces. 2- In collaboration with the Electrical and Computer Engineering Department, I did research on skeletonization of planar shapes, symmetry detection in digital images, image enhancement and processing of 3D data.

toggle toggle Appointments
Duration (YYYY - YYYY or Present)RankDepartment / SchoolCollege / OfficeUniversity / Company
2007-presentassociate professormathematics department  
2002-2007Assistant ProfessorMathematics Department University of North Texas
1998-2000Visiting Assistant professorMathematics Department University of Minnesota
1992-1997Teaching Assistant  Universidad Nacional del Centro (UNCPBA)
toggle toggle Faculty Workload
Duration (YYYY - YYYY)Percentage TeachingPercentage ResearchPercentage Service
toggle toggle Publications
  Type  Publications per page   1  2 3 4 5 6 7 
  YearPublication  Type
Solutions of the porous medium equation with degenerate interfaces
Betelu SI, Iaia J
European Journal of Applied Mathematics - Cambridge Univ Press
Refereed(Peer reviewed) Journals
Analytical estimates of the dispersion curve in planar ionization fronts,
AIP conf proc, vol 1118, pp. 68-72

M Arrayas,S Betelu, M Fontelos, J Trueba
American Institute of Physics
Conference paper
Fingering from ionization fronts in Plasmas
M. Arrayas, S. Betelu and M. A. Fontelos
SIAM J. Appl. Math. Volume 68, Issue 4, pp. 1122-1145 (2008)
Refereed(Peer reviewed) Journals
Singularities on charged viscous droplets
S. I. Betelu, M. A. Fontelos, U. Kindelan and O. Vantzos
Physics of Fluids, Volume 18, Issue 5, 051706 (4 pages) (2006).
Refereed(Peer reviewed) Journals
Explicit Stationary Solutions in Multiple Well Dynamics and Non-Uniqueness of interfacial energy densities
S. I. Betelu, N. D. Alikakos and X. Chen
European Journal of Applied Mathematics, 2006, VOL 17; PART 5, pages 525-556
Refereed(Peer reviewed) Journals
toggle toggle Presentations and Projects
  Presentations/Projects per page   1  2 
Start DateEnd DatePresentation/Project
1994 1996 Fifteen presentations in the Physical Association of Argentina (AFA)
 2006 S. Betelu "Dynamics of electrically charged droplets"
Conference of Microfluidics, Universidad Carlos III, Madrid Spain
 2006 S. Betelu "Spreading of charged liquids and fission of drops"
Invited talk at the University of Athens, Mathematics Department
 2004 S. I. Betelú, M. A. Fontelos, and U. Kindelán, ”The shape of charged drops: symmetry breaking bifurcations and numerical results”
Fifth European Conf. On elliptic and parabolic problems, Gaeta (2004)
 2004 S Betelu and M Fontelos, "Spreading of charged microdroplets"
XXI International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, and also in AMS Meeting in Phoenix, 2004
toggle toggle Teaching

College Algebra and Probability
University of Minnesota

Differential Equations

Electricity and Magnetism
Universidad Nacional del Centro (UNCPBA), Tandil, Argentina

Fluid Mechanics and Elasticity
Universidad Nacional del Centro (UNCPBA), Tandil, Argentina

Numerical Analysis

Partial Differential Equations with Applications, an introductory course of Precalculus
University of Minnesota



toggle toggle Mentoring/Advising
Duration (YYYY - YYYY or Present)Student NameClassificationTypeProject/Thesis/Dissertation
 Orestis VantzosDirected the thesisAdvanced numerical methods in fluid dynamics and singularities in charged fluids
toggle toggle Additional Information
English and Spanish

Programming Skills
Fortran, C++, OPENMP, Basic, LabView and Mathematica. I have experience working with supercomputers at the Supercomputing Institute of the UMN. I programmed mainly codes for data processing, image enhancement and numerical simulations in fluid dynamics.

Technical Skills
1- Design of optical measurements with interferometry, schlieren and ellipsometry. 2- Digital image acquisition and processing. Data analysis. 3- Preparation of silicon substrates and fabrication of silane monolayers. 4- Design of experiments in fluid mechanics. 5- Numerical simulation in fluid mechanics with finite differences, boundary elements methods, FFT methods, ENO (essencially non-oscillatory methods), Riemann solvers for gasdynamics, numerical renormalization and fast marching algorithms, octrees for N-body computations as Barnes-Hut and modifications. Numerical methods applied to image processing. 6- Construction of new explicit solutions for partial differential equations in fluid mechanics.

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