Dr. Gerardo
Hernández Dueñas
National Autonomous University of Mexico- UNAM
See other campuses:
or the summary is below:
Contact Information
Office: 108 LIIGH (Laboratorio Internacional de Investigación sobre el Genoma Humano)
UNAM Campus Juriquilla
Blvd Juriquilla # 3001
76230 Juriquilla, Querétaro, México
Phone number (Queretaro): (52) 442-192-6231 Ext. 248
Phone number (Mexico City): (52) 55-562-34331
Email:
hernandez at im dot unam dot mx
Citizenship: Mexican
Research Interests:
Applied Mathematics to Atmospheric Sciences
Turbulence: Theory, Numerics and Computations
Numerical Methods for Hyperbolic Conservation Laws
Geophysical Fluid Dynamics
Semiclassical Analysis
Present Position:
National Autonomous University of Mexico- Juriquilla. Since June, 2014
Institute of Mathematics
Assistant Professor
Previous Position:
University of Wisconsin - Madison. June, 2011 - May 2014
Department of Mathematics
Postdoctoral Fellow
Van Vleck Visiting Assistant Professor
Education:
Univesity of Michigan. April 21, 2011
Ph.D in Mathematics. Rackham Graduate School
Ann Arbor, Michigan.
- Advisor in pure mathematics: Professor Alejandro Uribe. Email: uribe at umich dot edu
- Advisor in applied mathematics: Professor Smadar Karni. Email: karni at umich dot edu
University of Guanajuato. Aug. 2000 - July 2005
Bachelors Degree in Mathematics: GPA 9.8 / 10.
Guanajuato, Mexico
-Advisor: Xavier Gomez-Mont. Email: gmont at cimat dot mx
Current Students:
Adviser for Undergraduate Students
Flores Mandujano, Verónica - Universidad Autónoma de Querétaro
Guerrero Medina, Olmo. Multdisciplinary Unit for Teaching and Research
Guzmán Guzmán, Claudia Esther - Universidad Autónoma de Querétaro
Co-Adviser for Undergraduate Students
Brito Interiano, Rodrigo - Centro de Física Aplicada y Tecnología Avanzada, UNAM
Co-advising with Dr. Guillermo Ramírez Santiago
Honors and Awards:
Youth Prize 2011 in the Academic Category Oct. 2011
Secretaria de la Juventud, Colima. Colima, Col.
Medal for best GPA (9.76/10) of the class of 2005. Nov. 2005
Univerisity of Guanajuato, Mexico
Medal for Academic Excellence Oct. 2000 “Ing. Arq. Rodolfo Chávez Carrillo” (GPA 10.0 / 10)
Univerisity of Colima, Mexico.
2nd Place at National Contest, Mexican Mathematics Olympiad. Nov. 1999
Mexican Mathematical Society
Publications and Preprints:
A central-upwind scheme with artificial viscosity for shallow-water flows in channels.
G. Hernandez-Duenas and Abdelaziz Beljadid.
Advances in Water Resources 96 (2016) 323-338.
Algebras
of semiclassical
pseudodifferential operators associated
with Zoll-type domains in cotangent bundles
G. Hernández-Dueñas and Alejandro Uribe.
Journal of Functional Analysis, 268 no. 7 (2015), pp. 1755-1807
Stability and Instability Criteria for Idelized Precipitating Hydrodynamics.
G. Hernandez-Duenas,
Leslie M. Smith, and Samuel N.
Stechmann.
Journal of Atmospheric Sciences, Vol 72, No. 6 (2015), pp. 2379-2393
Investigation of Boussinesq dynamics using intermediate models based on wave-vortical interactions.
G. Hernandez-Duenas, Leslie M. Smith, and Samuel N. Stechmann
Journal of Fluid Mechanics, 747
(2014), 247-287
Minimal
models for precipitating turbulent convection
G. Hernandez-Duenas, Andrew J. Majda,
Leslie M. Smith, and Samuel N.
Stechmann.
Journal
of Fluid Mechanics, 717 (2013), 576-611.
A
Positivity Preserving
Central Scheme for Shallow Water Flows in Channels with Wet-Dry States.
Jorge Balbás and G. Hernández-Dueñas.
ESIAM: Mathematical Modelling
and Numerical Analysis (M2AN) 48 (2014) 665-696.
Shallow
Water Flows in Channels.
G. Hernández and Smadar
Karni.
J. Sci. Comput. 48
(2011), no. 1-3, 190-208.
A
Hybrid Algorithm for the Baer-Nunziato
Model Using
the Riemann Invariants.
Smadar Karni
and G. Hernández-Dueñas.
J
Sci Comput,
45, (2010), 382-403.
A
Hybrid Scheme for Flows in Porous Media.
Smadar Karni
and G. Hernández-Dueñas.
Hyperbolic Problems: Theory, Numerics,
Applications.
Proceedings
of Simposia in Applied
Mathematics, Volume 67, Part 2, (2009), 715-724.
Amer.
Math. Soc., Providence, RI, (2009).
A
Scheme for Shallow Water Flow with Area Variation.
Smadar Karni
and G. Hernández-Dueñas.
American Institute of Physics.
AIP
Conference Proceedings
International Conference on Numerical Analysis
and
Applied Mathematics
Rethymno, Crete,
Greece, 18-22
September 2009. 1168 (2009), 1433-1436.
Affiliations:
- Conacyt Research Network, Mathematical Modelling, June 2015 - Present
- Conacyt Research Network, Analysis and Differential Equations, June 2015 - Present
- Sistema Nacional de Investigadores - Nivel I. September 2013-Present
-American Metereologial Society. January - December 2013
- American Mathematical Society. September 2005 - May 2011
- Society for Industrial and Applied Mathematics. February 2010 - May 2011