Vincent R Martinez

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

 

Hunter College Applied Mathematics Seminar Spring 2021 Schedule

CUNY Graduate Center Harmonic Analysis and PDEs Seminar Spring 2021 Schedule

CUNY Graduate Center Data Science and Applied Topology Seminar Spring 2021 Schedule

 

Curriculum Vitae   pdf
 

Research Statement   pdf
 

Teaching Statement   pdf

 

Publications

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

  1. On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces (with Michael S. Jolly and Anuj Kumar), arXiv:2105.08203v1, pp. 1--18, May 17, 2021, (submitted) pdf .

  2. 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 .

  3. On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces (with Michael S. Jolly and Anuj Kumar), arXiv:2101.07228v1, pp. 1--34, January 18, 2021, (accepted, to appear in Commun. Math. Phys.) pdf .

  4. A PDE model for chemotaxis with logarithmic sensitivity and logistic growth (with Padi F. Aguilera and Kyle Zhao), arXiv:2012.10521v1 pp. 1--23, December 18, 2020, (submitted) pdf .

  5. 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 .

  6. 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 .

  7. 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 .

  8. 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 .

  10. 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 .

  11. 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 .

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

  13. 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 .

  14. 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 .

  15. 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 .

  16. 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 .

  17. 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 .

Spring/Summer 2021 Seminars, Colloquia, and Conferences

June 15

University of Bremen Applied Analysis Seminar (Zoom)

June 14

Università degli Studi di Pavia and Università degli Studi di Milano joint Probability seminar (Zoom)

May 4

CUNY Graduate Center, Einstein Chair Seminar (Zoom)

April 23

Tulane University Applied and Computational Math Seminar (Zoom)

April 13

CUNY Graduate Center, Einstein Chair Seminar (Zoom)

March 30

CUNY Graduate Center, Einstein Chair Seminar (Zoom)

March 15

University of Illinois-Chicago, Analysis and Applied Mathematics Seminar (Zoom)

February 26

Rutgers University-Newark, Physics Colloquium (Zoom)

January 6-9

Joint Mathematics Meetings, AMS Special Session on Geophysical Fluid Dynamics, Turbulence, and Data Assimilation: A Rigorous and Computational Study (Zoom)

A La Recherche Du Temps Perdu...  
 

Levico Terme 2015