Vincent R Martinez

Assistant Professor
Department of Mathematics and Statistics
CUNY Hunter College

Edinburgh, Scotland 2017

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

 


Curriculum Vitae   pdf
 

Research Statement   pdf
 

Teaching Statement   pdf
 


Publications

  1. 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), arXiv:1809.00106v1 (submitted), 44 pages, September 1, 2018 pdf

  2. 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. (accepted, July 2018)

  3. Data assimilation using noisy time-averaged measurements (with Jordan Blocher and Eric J. Olson), Physica D, doi.org/10.1016/j.physd.2017.12.004 (2018)

  4. 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 .

  5. A determining form for the subcritical surface quasi-geostrophic equation (with Michael S. Jolly, Tural Sadigov, and Edriss S. Titi), J. Dyn. Differ. Equations, doi.org/10.1007/s10884-018-9652-4 (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 .

  7. 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 .

  8. 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., (to appear, 2018) pdf .

  9. 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 .

  10. 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 .

  11. 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 .

  12. 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 .


A La Recherche Du Temps Perdu...  
 

Levico Terme, Trento, Italy 2015