Contact Information
273 Altgeld Hall
1409 W Green Street (MC-382)
Urbana, IL 61801
Research Areas
Biography
I am a Professor of Mathematics and serves as the Department Chair. 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
DPI Research & Development Science Team Seed Grant (co-PI), since 2021
NSF DMS-2009981, since 2020
Awards and Honors
4th IMA Conference on Nonlinearity and Coherent Structures, Invited Plenary Address, 2021
University of Illinois, LAS, Fellow in a Second Discipline, 2020
University of Illinois, Distinguished Promotion Award, 2019
University of Illinois, Center for Advanced Study, Associate, 2019; Beckman Fellow, 2014
University of Illinois, LAS, Brad and Karen Smith Professorial Scholar, 2018
University of Illinois, Philippe Tondeur Scholar in Mathematics, 2016
Simons Fellow in Mathematics, 2016
University of Illinois, Arnold O. Beckman Research Award, 2014, 2016
AMS Sectional Meeting, Invited Plenary Hour Address, 2015
NSF CAREER Award, 2014
Alfred P. Sloan Research Fellowship, 2012
Courses Taught
External Links
Recent Publications
Charalampidis, E. G., & Hur, V. M. (2021). Numerical bifurcation and stability for the capillary–gravity Whitham equation. Wave Motion, 106, [102793]. https://doi.org/10.1016/j.wavemoti.2021.102793
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
