Gerardo Hernández-Dueñas

New position:

Assitant Professor
National Autonomous University of Mexico (UNAM)
Insitute of Mathematics, Campus Juriquilla

New Webpage Here





2011-214:

Postdoctoral Fellow

Van Vleck Visiting Assistant Professor

Contact info:

University of Wisconsin – Madison

Department of Mathematics

Office: 809 Van Vleck

Phone: 608-262-3220

Email: hernandez at math dot wisc dot edu

Teaching

Research area:

Applied Mathematics, Atmospheric Sciences

Numerical Analysis

Semiclassical Analysis


CV (Last updated: 09/08/13)



Future Conferences:


Publications:


Turbulence:


Figure: Vertical vorticity of dipole simulation by the P2G model

Atmospheric Sciences:





Figure: Contours of rain water. Scattered convection (top) versus squall lines (bottom).



Hyperbolic Conservation Laws:




Figure: Dam break simulation at different times. Blue: Water height. Brown: Bottom topography. Gray: Walls.






Figure: Exact and numerical steady state (discontinuous transcritical) solutions to shallow water.







Figure: Gas flow over a porous particle bed.







Figure: Solutions to the Baer-Nunziato system by a conservative formulation (left) and a hybrid formulation (right).




Semiclassical Analysis:





Figure: Propagation of a coherent state in a Zoll-type domain.




Proceedings:




Figure: Computed and exact solutions in a shock-tube problem using a conservative (left) and a hybrid (right) formulation.




Extended abstracts:





Figure: Schematic for the shallow water equations through rectangular channels with variable area.