Assistant Professor

Department of Mathematics
University of Colorado Boulder

Office: Math 229

Email:  Siddhant.Agrawal(at)colorado.edu  OR  siddhant26(at)gmail.com

I am an Assistant Professor in the Department of Mathematics at the University of Colorado Boulder. My research interests lie in PDEs and more specifically on problems arising from fluid mechanics. I have worked on the water waves equation, 2D Euler equation etc. and I am currently interested in these and several other models of incompressible fluids. 

CV

Papers:

1. Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension (51 pages)
   S. Agrawal, N. Patel
   arXiv

2. Uniqueness of the 2D Euler equation on rough domains (33 pages)
   S. Agrawal, A. Nahmod
   Accepted in JEMS. arXiv

3. Uniform in gravity estimates for 2D water waves (114 pages)
   S. Agrawal
   Submitted. arXiv

4. Refined Rellich boundary inequalities for the derivatives of a harmonic function
   S. Agrawal, T. Alazard
   Proc. Amer. Math. Soc. 151 (2023), no. 5, 2103–2113. arXiv

5. Rigidity of Acute Angled Corners for One Phase Muskat Interfaces
   S. Agrawal, N. Patel, S. Wu
   Adv. Math. 412 (2023), Paper No. 108801, 71 pp. arXiv

6. Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner
   S. Agrawal, A. Nahmod
   Nonlinearity 35 (2022), no. 6, 2767–2808. arXiv

7. Angled crested like water waves with surface tension II: Zero surface tension limit
   S. Agrawal
   Mem. Amer. Math. Soc. 293 (2024), no. 1458, v+124 pp. arXiv

8. Angled crested like water waves with surface tension: Wellposedness of the problem
   S. Agrawal
   Comm. Math. Phys. 383 (2021), no. 3, 1409–1526. arXiv

9. Rigidity of singularities of 2D gravity water waves
   S. Agrawal
   J. Differential Equations 268 (2020), no. 3, 1220–1249. arXiv