Dr. Santiago I. Betelu
Adjunct Faculty
University of North Texas
Department of Mathematics
Email: betelu@unt.edu
Education
-
Doctorado, National University of Central Buenos Aires, 1997
Major: Physics
Dissertation: Plane Stokes Flows Near Singular Points of the Free Surface -
BS, UNCPBA, Argentina (Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina), 1994
Major: Physics; Thesis: Columnar to Equiaxed Transicion in Aluminum base Alloys
Professional Positions
- Adjunct, University of North texas. University of North texas. (2013 - Present).
- Associate Professor, University of North texas. University of North texas. (2007 - 2011).
- Assistant Professor, University of North Texas. University of North Texas. (2002 - 2007).
- Visiting Assistant professor, University of Minnesota. University of Minnesota. (1998 - 2000).
- Teaching Assistant, Universidad Nacional del Centro (UNCPBA). Universidad Nacional del Centro (UNCPBA). (1992 - 1997).
Teaching
Teaching Experience
- MATH 1650 - Pre Calculus, 6 courses.
- MATH 1680 - Elementary Probability and Statistics, 4 courses.
- MATH 1710 - Calculus I, 2 courses.
- MATH 1720 - Calculus II, 3 courses.
- MATH 1780 - Probability Models, 4 courses.
- MATH 2730 - Multivariable Calculus, 7 courses.
- MATH 3310 - Differential Equations for Engineering Majors, 5 courses.
- MATH 3350 - Introduction to Numerical Analysis, 20 courses.
- MATH 3410 - Differential Equations I, 34 courses.
- MATH 3420 - Differential Equations II, 19 courses.
- MATH 3610 - Real Analysis II, 1 course.
- MATH 3680 - Applied Statistics, 3 courses.
- MATH 3740 - Vector Calculus, 2 courses.
- MATH 4900 - Special Problems, 2 courses.
- MATH 5210 - Numerical Analysis, 1 course.
- MATH 5900 - Special Problems, 7 courses.
- MATH 5910 - Special Problems, 2 courses.
- MATH 5950 - Master's Thesis, 2 courses.
- MATH 6900 - Special Problems, 5 courses.
- MATH 6910 - Special Problems, 1 course.
University of North Texas
Directed Student Learning
- Other, "Advanced numerical methods in fluid dynamics and singularities in charged fluids,"
Research
Published Intellectual Contributions
- M Arrayas,S Betelu, M Fontelos, J Trueba. (2009). Analytical estimates of the dispersion curve in planar ionization fronts, AIP conf proc, vol 1118, pp. 68-72.
- Betelu SI, Iaia J. (2013). Solutions of the porous medium equation with degenerate interfaces.
- M. Arrayas, S. Betelu and M. A. Fontelos. (2008). Fingering from ionization fronts in Plasmas.
- S. I. Betelu, N. D. Alikakos and X. Chen. (2006). Explicit Stationary Solutions in Multiple Well Dynamics and Non-Uniqueness of interfacial energy densities.
- S. I. Betelu, M. A. Fontelos, U. Kindelan and O. Vantzos. (2006). Singularities on charged viscous droplets.
- S. I. Betelu and M. A. Fontelos. (2005). Spreading of a charged microdroplet.
- S. I. Betelu, M. A. Fontelos and U. Kindelan. (2005). The shape of charged drops: Symmetry breaking bifurcations and numerical results.
- Niethammer M, Betelu S, Sapiro G, et al.. (2004). Area based medial axis of planar curves.
- S. I. Betelu and M. A. Fontelos. (2004). Capillarity driven spreading of circular drops of shear thinning fluid.
- S. I. Betelu and M. A. Fontelos. (2003). Capillarity driven spreading of power-law fluids.
- S. I. Betelu and J. R. King. (2003). Explicit solutions of a two-dimensional fourth order non-linear diffusion equation.
- S. Betelu, R. Gulliver and W. Littman. (2002). Boundary control of PDEs via curvature flows: the view from the boundary, II.
- S. B. Angenent, D. G. Aronson, S. I. Betelu and J. S. Lowengrub. (2001). Focusing of an elongated hole in porous medium flow.
- S. I. Betelu, D. G. Aronson. (2001). Focusing of non-circular self-similar shock waves.
- J. Y. Wang, S. Betelu, and B. M. Law. (2000). 'Line tension approaching a first-order wetting transition: Experimental results from contact angle measurements.
- S. Betelu. (2000). A two-dimensional corner solution for a nonlinear diffusion equation.
- S. I. Betelu, G. Sapiro, A. Tannenbaum and P. Giblin. (2000). Noise-resistant affine skeletons of planar curves.
- S. I. Betelu, G. Sapiro and A. Tannenbaum. (2000). On the computation of Affine Skeletons of Plane Curves and the Detection of Skew Symmetries.
- S. I. Betelu, D. G. Aronson and S. B. Angenent. (2000). Renormalization study of two-dimensional convergent solutions of the porous medium equation.
- S. Betelu, J. Diez. (1999). A two dimensional similarity solution for capillary driven flows.
- J. Wang, S. Betelu and B. Law. (1999). Line tension effects near first-order wetting transitions.
- S. Betelu, Law B. M. and Huang C. C.. (1999). Spreading dynamics of terraced droplets.
- S. Betelu, J. Diez and R. Gratton. (1998). Cusped ripples at the plane surface of a viscous liquid.
- J. Diez, L. P. Thomas, S. Betelu, R. Gratton, B. Marino, J. Gratton, D. G. Aronson and S. B. Angenent. (1998). Non-circular focussing flow in viscous gravity currents.
- S. Betelu, R. Gratton and J. Diez. (1998). Observation of cusps during the levelling of free surfaces in viscous flows.
- J. Diez, S. Betelu and R. Gratton. (1998). The crumbling of a viscous prism with an inclined free surface.
- S. Betelu , J. Diez, L. Thomas, R. Gratton, B. Marino. (1997). A boundary-elements method for viscous gravity currents.
- S. Betelu , J. Diez, L. Thomas, R. Gratton, B. Marino. (1996). Instantaneous viscous flow in a corner bounded by free surfaces.
- L. Thomas, R. Gratton, B. Marino, S. Betelu , J. Diez. (1996). Measurement of the slope of a liquid free surface along a line by a schlieren system with anamorphic elements.
- R. Gratton, J. Diez, L. Thomas, B. Marino, S. Betelu. (1996). Quasi-self-similarity for wetting drops.
- B. Marino, L. Thomas, R. Gratton, J. Diez, S. Betelu. (1996). Waiting time solutions of a non-linear diffusion Equation: Experimental study of a creeping flow near a waiting front.
Conference Proceeding
Journal Article
Presentations Given
- S. Betelu "Dynamics of electrically charged droplets", (2006 - 2006).
- S. Betelu "Spreading of charged liquids and fission of drops", (2006 - 2006).
- S Betelu and M Fontelos, "Spreading of charged microdroplets", (2004 - 2004).
- S. I. Betelú, M. A. Fontelos, and U. Kindelán, "The shape of charged drops: symmetry breaking bifurcations and numerical results", (2004 - 2004).
- S Betelu, G Sapiro and A Tannenbaum, "Affine invariant erosion of 3D shapes", (2001 - 2001).
- JY Wang, S Betelu, BM Law, "Line tension effects near first order wetting transitions", (2000 - 2000).
- S Betelu, G Sapiro, A Tannenbaum and P Giblin, "Noise resistant affine skeletons of planar curves", (2000 - 2000).
- S Betelu, BM Law and CC Huang, "The spreading dynamics of liquid crystal droplets", (1999 - 1999).
- Fifteen presentations in the Physical Association of Argentina (AFA), (1994 - 1996).