Doctoral Faculty Department of Mathematics CUNY Graduate Center Assistant 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
Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation, (with Adam Larios), arXiv:2401.04888, pp. 1–22, January 10, 2024, (submitted) 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 .
Identifying the body force from partial observations of a 2D incompressible velocity field, (with Aseel Farhat, Adam Larios, and Jared P. Whitehead), arXiv:2302.04701, pp. 1–15, February 9, 2023, (submitted) pdf .
The short memory limit for long-time statistics in a stochastic Coleman-Gurtin model of heat conduction, (with Nathan E. Glatt-Holtz and Hung D. Nguyen), arXiv:2212.05646v1, pp. 1–71, December 12, 2022, (submitted) pdf .
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier-Stokes Equations, arXiv:2208.00541v1, pp. 1–15, July 31, 2022, (accepted to Proc. R. Soc. Edinb. A: Math, February 2024) pdf .
Convergence analysis of a viscosity parameter estimation algorithm for the 2D Navier-Stokes equations, Nonlinearity, DOI 10.1088/1361-6544/ac5362 (April 2022) pdf .
Dynamically learning the parameters of a chaotic system using partial observations (with Elizabeth Carlson, Joshua Hudson, Adam Larios, Eunice Ng, and Jared P. Whitehead), Discrete Contin. Dyn. Syst. DOI 10.3934/dcds.2022033 (March 2022) pdf .
Mesh-free interpolant observables for continuous data assimilation (with Animikh Biswas and Kenneth R. Brown), Ann. Appl. Math., DOI 10.4208/aam.OA-2022-0006 (June 2022) pdf .
On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces (with Michael S. Jolly and Anuj Kumar), Commun. Pure Appl. Anal., 21(1), 101–120 (2022) 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, (submitted) pdf .
On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces (with Michael S. Jolly and Anuj Kumar), Commun. Math. Phys., 387, 551–596 (2021) pdf .
A PDE model for chemotaxis with logarithmic sensitivity and logistic growth (with Padi F. Aguilera and Kun Zhao), accepted to Contemp. Math. Appl., Monogr. Expo. Lect. Notes, DOI 10.1142/12639 (to appear September 2023) pdf .
Data assimilation in large-Prandtl Rayleigh-Benard convection from thermal measurements (with Aseel Farhat, Nathan E. Glatt-Holtz, Shane A. McQuarrie, and Jared P. Whitehead), SIAM J. Appl. Dyn. Syst. 19(1), 510–540 (2020) pdf .
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation (with Michael S. Jolly, Eric J. Olson, and Edriss S. Titi), Chin. Ann. Math., Ser. B, 40, 721–764 (2019) pdf .
A determining form for the subcritical surface quasi-geostrophic equation (with Michael S. Jolly, Tural Sadigov, and Edriss S. Titi), J. Dyn. Differ. Equations, 31, 1457–1494 (2019) pdf .
Data assimilation using noisy time-averaged measurements (with Jordan Blocher and Eric J. Olson), Physica D, 376-377, 49–59 (2018) pdf .
Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces (with Luan T. Hoang), J. Math. Anal. Appl., 462(1), 84–113 (2018) pdf .
Global Cauchy problem of a system of parabolic conservation laws arising from a Keller-Segel type chemotaxis model (with Zhengrong Liu, Kun Zhao, and Neng Zhu), SIAM J. Math. Anal. 50(5), 5380–5425 (2018) pdf .
Asymptotic and Viscous Stability of Large-Amplitude Solutions of a Hyperbolic System Arising from Biology (with Zhian Wang and Kun Zhao), Indiana Univ. Math. J., 64(4), 1383–1424 (2018) pdf .
Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equation (with Luan T. Hoang), Asymptotic Anal., 104, 167–190 (2017) pdf .
Analyticity and Dynamics of a Navier-Stokes-Keller-Segel System on Bounded Domains (with Kun Zhao), Dyn. Partial Differ. Equ., 14(2), 125–158 (2017) pdf .
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation (with Michael S. Jolly and Edriss S. Titi), Adv. Nonlinear Stud., 35, 167–192 (2017) pdf .
Higher order synchronization for a data assimilation algorithm for the 2D Navier-Stokes equations (with Animikh Biswas), Nonlinear Anal. Real World Appl., 35, 132–157 (2017) pdf .
On Gevrey regularity of the supercritical SQG equation in critical Besov spaces (with Animikh Biswas and Prabath Silva), J. Funct. Anal., 269(10), 3083–3119 (2015) pdf .
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach (with Animikh Biswas, Michael S. Jolly, and Edriss S. Titi), J. Nonlinear Sci., 24(3), 441–471 (2014) pdf .
January 3-6 |
Joint Mathematics Meetings San Francisco, CA |
March 1 |
CUNY Academy for Humanities and Sciences Felix Gross Award Talk New York, NY |
March 23-24 |
AMS Spring Southeastern Sectional Meeting Tallahassee, FL |
April 6-7 |
AMS Spring Eastern Sectional Meeting Washington DC |
May 3-5 |
Notre Dame PDE Workshop Notre Dame, IN |