Contact Information
269 Altgeld Hall
1409 W Green Street (MC-382)
Urbana, IL 61801
Research Areas
Biography
I am a Professor and the Philippe Tondeur Scholar in Mathematics, and a Brad and Karen Smith Professorial Scholar of the College of Liberal Arts and Sciences. I am a faculty affiliate of the Computational Science and Engineering program. I am a member of the Illinois Campus Research Board.
Research Interests
Applied Mathematics Differential Equations Fluid Dynamics Physical Oceanography Climate Science
Research Description
My research draws from rigorous analysis, numerical computation, and modeling, to deepen our understanding of the mathematics of surface water waves and other related problems. They include physical oceanography and geophysical fluid dynamics. My projects emphasize large scale dynamics and genuinely nonlinear behaviors, such as breaking and peaking.
Recently, I have interests in machine learning applications to other disciplines.
Education
PhD, Brown University, 2006
Grants
NSF DMS-2009981, $359,350.
Awards and Honors
Fellow in a Second Discipline, University of Illinois, LAS, 2020
Distinguished Promotion Award, University of Illinois, 2019
Associate, University of Illinois, Center for Advanced Study, 2019
Brad and Karen Smith Professorial Scholar, University of Illinois, LAS, 2018
Philippe Tondeur Scholar in Mathematics, 2016
Simons Fellow in Mathematics, 2016
Arnold O. Beckman Research Award, University of Illinois, 2014, 2016
Invited Plenary Hour Address, AMS Sectional Meeting, 2015
Beckman Fellow, University of Illinois, Center for Advanced Study, 2014
NSF CAREER Award, 2014
Alfred P. Sloan Research Fellowship, 2012
Courses Taught
External Links
Recent Publications
Hur, V. M., & Vanden-Broeck, J-M. (2020). A new application of Crapper’s exact solution to waves in constant vorticity flows. European Journal of Mechanics, B/Fluids, 83, 190-194. https://doi.org/10.1016/j.euromechflu.2020.04.015
Hur, V. M., & Wheeler, M. H. (2020). Exact free surfaces in constant vorticity flows. Journal of Fluid Mechanics, [R1]. https://doi.org/10.1017/jfm.2020.390
Dyachenko, S. A., & Hur, V. M. (2019). Stokes waves with constant vorticity: I. Numerical computation. Studies in Applied Mathematics, 142(2), 162-189. https://doi.org/10.1111/sapm.12250
Dyachenko, S. A., & Hur, V. M. (2019). Stokes waves with constant vorticity: folds, gaps and fluid bubbles. Journal of Fluid Mechanics. https://doi.org/10.1017/jfm.2019.634
Hur, V. M., & Pandey, A. K. (2019). Modulational instability in a full-dispersion shallow water model. Studies in Applied Mathematics, 142(1), 3-47. https://doi.org/10.1111/sapm.12231