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

CUNY Hunter College Mathematics Colloquium

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. 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 .

  2. 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 .

  3. 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 .

  4. 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 .

  5. 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 .

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

  7. 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 .

  8. 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 .

  9. 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 .

  10. 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 .

  11. 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 .

  12. 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 .

  13. 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 .

  14. 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 .

  15. 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 .

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

  17. 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 .

  18. 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 .

  19. 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 .

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

  21. 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 .

  22. 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 .

  23. 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 .

  24. 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 .

  25. 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 .


2023 Seminars, Colloquia, and Conferences

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

Past Talks


A La Recherche Du Temps Perdu...  
 















Levico Terme 2015