Vincent R Martinez

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

 

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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

21. On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier-Stokes Equations, arXiv:2103.12942v1, pp. 1–15, July 31, 2022, (submitted) pdf .

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

19. 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 .

18. 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 .

17. 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 .

16. 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 .

15. 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 .

14. 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 .

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 .

12. 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 .

11. 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 .

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

9. 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 .

8. 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 .

7. 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 .

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

5. 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 .

4. 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 .

3. 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 .

2. 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 .

1. 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 .

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2022 Seminars, Colloquia, and Conferences

November 14	CUNY GC Graduate Student Colloquium New York, NY
October 22-23	AMS Fall Western Sectional Meeting Salt Lake City, UT
October 20	CCNY Mechanical Engineering Seminar New York, NY
October 1-2	SIAM Central States Section Meeting Stillwater, OK
September 16	University of Surrey Dynamical Systems and PDE Seminar Guildford, UK
August 30-September 23	Isaac Newton Institute Satellite Program in Geophysical Fluid Dynamics Reading, UK
July 8	Brigham Young University PDE Seminar Provo, Utah
June 24	University of Hong Kong and Education University of Hong Kong Symposium on Partial Differential Equations 2022 (Remote)
June 3-5	Union College Mathematics Conference Schenectady, New York
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...