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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
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 .
Higher-order synchronization of a nudging-based algorithm for data assimilation for the 2D NSE: a refined paradigm for global interpolant observables (with Animikh Biswas and Kenneth R. Brown), arXiv:2108.05309v1, pp. 1--36, August 11, 2021, (accepted to Ann. Appl. Math.) 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., DOI 10.3934/cpaa.2021169 (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 Kyle Zhao), accepted to Contemp. Math. Appl., Monogr. Expo. Lect. Notes, DOI 10.1142/12639 (to appear January 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, Kyle 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 Kyle 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 Kyle 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 .
June 24 |
University of Hong Kong and Education University of Hong Kong Symposium on Partial Differential Equations 2022 (Remote) |
May 15-28 |
CRM Workshop on Unifying Concepts in PDEs with Randomness Montreal, Canada |
May 2-6 |
AIMS Workshop on Criticality and Stochasticity in Quasilinear Fluids Systems San Jose, CA |
April 7 |
University of Arkansas Analysis Seminar Fayetteville, AR |
March 30-April 1 |
12th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory Athens, GA |
March 26-27 |
AMS Spring Central Sectional Meeting (Remote) |
March 14-18 |
SIAM Conference on Analysis of PDEs (Remote) |
February 4 |
Math For All NOLA (Remote) |
