Luiz M. Faria
lfaria@mit.edu
http://www.luizfaria.com
MIT, Boston, MA, USA.
Research Interests
• Partial differential equations, stability theory, asymptotic analysis, numerical methods for
hyperbolic PDEs, fluid dynamics, combustion theory, dynamical systems
Education
• King Abdullah University of Science and Technology (KAUST)
Ph.D. in Applied Mathematics (GPA: 4.0/4.0)
Thuwal, KSA
December 2014
– Advisor: Aslan Kasimov
– Thesis: Qualitative and asymptotic theory of detonations
• King Abdullah University of Science and Technology (KAUST)
M.S. Applied Mathematics (GPA: 3.89/4.0)
Thuwal, KSA
December 2011
• Texas A&M University
College Station, Texas, USA
B.S. in Mathematics with Honors, summa cum laude, (GPA: 4.0/4.0)
May 2010
Professional Appointments
• Instructor in Applied Math at MIT
• Postdoctoral Fellow at KAUST
Cambridge, MA, USA
August 2015 to present
Thuwal, KSA
January 2015 to August 2015
Publications
1. L. Faria, A. Kasimov, R. Rosales. “Theory of weakly nonlinear self-sustained detonations”. Journal
of Fluid Mechanics, 2015
2. L. Faria, A. Kasimov, R. Rosales. “Study of a model equation in detonation theory”. SIAM
Journal on Applied Mathematics, 2014
3. L. Faria, A. Kasimov. “Qualitative modeling of the dynamics of detonation with losses”.
Proceedings of the Combustion Institute, 2014
4. A. Kasimov, L. Faria, R. Rosales. “Model for shock wave chaos”. Physical Review Letters, 2013
5. R. Semenko, L. Faria, A. Kasimov, B. Ermolaev. “Set-valued solutions for non-ideal detonation”.
Shock Waves, 2015
Awards
• KAUST Graduate Fellowship, 2010-2014
• Dean’s Award for Academic Excellence from KAUST, 2011
• Discovery Scholarship from KAUST, 2008-2010
• Academic Excellence Award Scholarship from Texas A&M, 2008-2009
• Classroom Excellence Award, Texas A&M, 2008-2009
• Gold Medal on National Physics Olympiad, Panama, XI grade, 2004
Teaching
• Principles of Continuum Applied Mathematics; MIT, Spring 2016
• TA for ODE; MIT, Fall 2015
• TA for Applied PDE I; KAUST, Fall 2011
• TA for Single Variable and Multivariable Calculus; Texas A&M, Fall 2007/Spring 2010
• Mentor for Advanced Calculus; Texas A&M, Spring 2010
Conferences
1. “Qualitative modeling of the dynamics of detonation with losses”. 35th International Symposium
on Combustion. San Francisco, California, August 2014
2. “An asymptotic theory of weakly non-linear detonations”. KAUST selected student representative
at SIAM Annual Meeting, Chicago, Illinois, July 2014
3. “A nonlocal hyperbolic PDE for chaotic shocks”. SIAM Conference on Analysis of Partial
Differential Equations, Lake Buena Vista, Florida, December 2013
4. “A simple model for spherical detonation”. 24th International Colloquium on Dynamics of
Explosions and Reactive Systems. Taipei, Taiwan, July 2013
5. “A model for shock wave chaos” 65th Annual Meeting of the APS Division of Fluid Dynamics. San
Diego, California, November 2012
Other Research Experience
• MIT
Two-dimensional model of detonations
Cambridge, USA
June-July 2013
– Extended previous work with Prof. Rodolfo Rosales to consider two-dimensional
detonations. Performed linear stability analysis of proposed model
• Technical University of Munich
Multiphase Flow in Porous Media
Munich, Germany
June-August 2010
– Worked under the supervision of Prof. Karl-Heinz Hoffmann developing a finite
difference code to model multiphase flow in porous media
• Texas A&M, Research Experience for Undergraduates (REU)
Annulus Bounds for the Roots of Sparse Polynomials
College Station, USA
June-July 2009
– Studied the behaviour of the roots of sparse polynomials, supervised by Prof.
Maurice Rojas
Skills
Languages:
Native in Portuguese. Fluent in English, Spanish, and French
Programming:
Matlab, Mathematica, Python. Basic knowledge of C and Fortran
Computer and OS: Mac OS, Linux, LATEX, and all common productivity packages
References
Prof. Aslan Kasimov
KAUST
Thuwal, Saudi Arabia
T +966 12 808 0340
aslan.kasimov@kaust.edu.sa
Prof. Rodolfo Rosales
MIT
Cambridge, USA
T +1 617 253 2784
rrr@math.mit.edu
Prof. Esteban Tabak
CIMS, NYU
New York, USA
T +1 212 998 3088
tabak@cims.nyu.edu
Prof. Kevin Zumbrun
IUB
Bloomington, USA
T +1 812 855 1503
kzumbrun@indiana.edu