Alejandro Sarria

Overview

Dr. Alejandro Sarria began working at UNG during the fall of 2017. Among Alejandro’s research interests are the long-time behavior of special classes of solutions to nonlinear PDE’s from fluid dynamics. For example, stagnation-point form solutions of the Euler and Boussinesq Equations. Prior to joining UNG, he was a Visiting Assistant Professor at Williams College for two years and a Postdoctoral Researcher at the University of Colorado Boulder for two years. In addition to math research and teaching, he is an avid long distance runner (has run 10+ ultra-marathons) and hiker.

Education

• Ph.D., Engineering and Applied Sciences, University of New Orleans, 2012
• M.S., Mathematics, University of New Orleans, 2009
• B.S., Mathematics, University of New Orleans, 2008

Research/Special Interests

• Partial Differential Equations
  • Evolution Equations
  • Fluid Dynamics

Publications

• Chen and A. Sarria, Damped infinite energy solutions of the 3D Euler and Boussinesq equations, accepted in J Differ Equations 265 (2018), 3841-3857.
• S.C. Preston and A. Sarria, Lagrangian aspects of the axisymmetric Euler equation, Nonlinearity 29 (2016), 1080-1095.
• A. Sarria and R. Saxton,  A sign-changing Liouville equation, J Evol Equ 15 (2015), 847-867. 
• A. Sarria and J. Wu, Blow-up in stagnation-point form solutions of the inviscid 2d Boussinesq equations, J Differ Equations 259 (2015), 3559-3576. 
• A. Sarria, Global estimates and blow-up criteria for the generalized Hunter-Saxton system, Discrete Cont Dyn-B 20 (2) (2015), 641-673. 
• S.C. Preston and A. Sarria, One-parameter solutions of the Euler-Arnold equation on the contactomorphism group, Discrete Cont Dyn S 35 (5) (2015), 2123-2130. 
• A. Sarria and R. Saxton, The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation, Q Appl Math 73 (1) (2015), 55-91.
• A. Sarria. Regularity of stagnation-point form solutions of the two-dimensional incompressible Euler equations, Differential and Integral Equations 28 (3-4) (2015), 239-254. 
• Wei, A. Sarria and M. Elgindi, Critical buckling loads of the perfect Hollomon's power-law columns, Mech Res Commun 47 (2013), 69-76.
• A. Sarria and R. Saxton, Blow-up of solutions to the generalized inviscid Proudman-Johnson equation, J Math Fluid Mech 15 (3) (2013), 493-523.
• Choi, N. Krishna, N. Magill, B. Mariscal and A. Sarria, Remarks on infinite energy solutions of the n-dimensional Euler and MHD equations with time-dependent damping, pre-print.
• Choi, N. Krishna, N. Magill, B. Mariscal and A. Sarria, On the L^p regularity of solutions to the generalized Hunter-Saxton system, Submitted, arXiv:1609.03231.