Postdoctoral Researcher

Instituto de Ciencias Matemáticas, ICMAT (Spain)

Mailing address:

Instituto de Ciencias Matemáticas (ICMAT),

C/ Nicolás Cabrera, nº13-15 (Campus Cantoblanco) 

28049 Madrid 

SPAIN 

Email: 

siddhant.govardhan(at)icmat.es  OR  siddhant26(at)gmail.com

Office: 416

I am a Postdoctoral Researcher at ICMAT working with Prof. Alberto Enciso and Prof. Diego Cordoba. Previously I was postdoc at UMass Amherst working with Prof. Andrea Nahmod. I obtained my Ph.D. in mathematics from the University of Michigan in 2018 under the supervision of Prof. Sijue Wu. My research interests lie broadly in PDEs. I have worked on the water wave equation and I am currently working on several different models of incompressible flows.

CV

Papers:

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

2. Uniform in gravity estimates for 2D water waves (115 pages)
   S. Agrawal
   Submitted. arXiv

3. 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

4. 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

5. 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

6. 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

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

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