Doctoral Faculty Department of Mathematics CUNY Graduate Center Associate Professor Applied Math Graduate Adviser Department of Mathematics and Statistics CUNY Hunter College |
There's no such thing as stupid questions, only stupid answers~C.R. Doering
Was beweisbar ist, soll in der Wissenschaft nicht ohne Beweis geglaubt werden.
~R. Dedekind
Energy dissipation near the outflow boundary in the vanishing viscosity limit (with Jincheng Yang, Anna L. Mazzucato, Alexis F. Vasseur), arXiv:2410.13127v1, pp. 1-25, October 17, 2024 pdf .
On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation (with Nathan E. Glatt-Holtz and Geordie H. Richards), arXiv:2103.12942v1, pp. 1–70, March 24, 2021, (accepted to Trans. Amer. Math. Soc., September 17, 2024) pdf .
Upper bounds on the dimension of the global attractor of the 2D Navier-Stokes equations on the β−plane, (with Aseel Farhat and Anuj Kumar), arXiv:2409.02868 , pp. 1-23, September 4, 2024 (submitted) pdf .
Relaxation-based schemes for on-the-fly parameter estimation in dissipative dynamical systems, (with Jacob Murri and Jared P. Whitehead), arXiv:2408.14296, pp. 1-42, August 26, 2024 (submitted) pdf .
On the Infinite-Nudging Limit of the Nudging Filter for Continuous Data Assimilation, (with Elizabeth Carlson, Aseel Farhat, and Collin Victor), arXiv:2408.02646, pp. 1-23, August 5, 2024 (submitted) pdf .
Determining Modes, Synchronization, and Intertwinement, (with Elizabeth Carlson, Aseel Farhat, and Collin Victor), arXiv:2408.01064, pp. 1-46, August 2, 2024 (submitted) pdf .
Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation, (with Adam Larios), J. Math. Fluid Mech., 26, 55 (2024) pdf .
Identifying the body force from partial observations of a 2D incompressible velocity field, (with Aseel Farhat, Adam Larios, and Jared P. Whitehead), Phys. Rev. Fluids, 9(5), 054602, (2024) pdf .
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier-Stokes Equations, Proc. R. Soc. Edinb. A: Math, DOI:10.1017/prm.2024.31 (April 2024) pdf .
On well-posedness of a mildly dissipative family of active scalar equations in borderline Sobolev spaces, (with Anuj Kumar), arXiv:2309.05844, pp. 1-48, September 1, 2023, (submitted) pdf .
August 26-29 |
2nd European Fluid Dynamics Conference Dublin, Ireland |
August 21-22 |
Data Meets Dynamics: Workshop on Data Assimilation for Complex Systems and Applications Madison, WI |
July 21-25 |
Mathematical Congress of the Americas Miami, FL |
May 11-15 |
SIAM Conference on Applications of Dynamical Systems Denver, CO |
April 6-7 |
AMS Spring Western Sectional Meeting San Luis Obispo, CA |
April 5-6 |
AMS Spring Eastern Sectional Meeting Hartford, CT |
March 8-9 |
AMS Spring Southeastern Sectional Meeting Clemson, SC |