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    Alejandro Sarria

    Alejandro Sarria

    Assistant Professor of Mathematics

    ww.asarria.com

    Office locationDunlap Hall, 214C, Dahlonega

    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.
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