Vincent R Martinez

Doctoral Faculty
Department of Mathematics
CUNY Graduate Center

Assistant Professor
Applied Math Graduate Adviser
Department of Mathematics and Statistics
CUNY Hunter College

Hunter East-West Skybridge 2019

Mailing Address:
Department of Mathematics and Statistics
City University of New York
Hunter College
695 Park Ave
New York, NY 10065

Phone: (212) 772-5791
Office: Hunter East 918
Email: vrmartinez-at-hunter-dot-cuny-dot-edu

 


Seminars

There's no such thing as stupid questions, only stupid answers ~C.R. Doering

Hunter College Applied Mathematics Seminar

CUNY Graduate Center Harmonic Analysis and PDEs Seminar

CUNY Graduate Center Data Science and Applied Topology Seminar

CUNY Graduate Center Einstein Chair Mathematics Seminar

 
Student-Oriented Initiatives

CUNY Directed Reading Program

Former MA students

 

Professional Files

Curriculum Vitae   pdf
 

Research Statement   pdf
 

Teaching Statement   pdf

 

Publications and Preprints

Was beweisbar ist, soll in der Wissenschaft nicht ohne Beweis geglaubt werden. ~R. Dedekind

  1. Convergence analysis of a viscosity parameter estimation algorithm for the 2D Navier-Stokes equations Nonlinearity, DOI 10.1088/1361-6544/ac5362 (April 2022) pdf .

  2. 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 .

  3. 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 .

  4. 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 .

  5. 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 .

  6. 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 .

  7. 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 .

  8. 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 .

  9. 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 .

  10. 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 .

  11. Data assimilation using noisy time-averaged measurements (with Jordan Blocher and Eric J. Olson), Physica D, 376-377, 49--59 (2018) pdf .

  12. 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 .

  13. 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 .

  14. 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 .

  15. Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equation (with Luan T. Hoang), Asymptotic Anal., 104, 167--190 (2017) pdf .

  16. 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 .

  17. 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 .

  18. 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 .

  19. 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 .

  20. 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 .


2022 Seminars, Colloquia, and Conferences

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)

Past Talks


A La Recherche Du Temps Perdu...  
 















Levico Terme 2015