Vincent R Martinez
|
Assistant Professor Applied Math Graduate Adviser Department of Mathematics and Statistics CUNY Hunter College |
Was beweisbar ist, soll in der Wissenschaft nicht ohne Beweis geglaubt werden.
~Dedekind
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 .
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, (submitted) pdf .
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 .
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 .
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 .
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 .
Data assimilation using noisy time-averaged measurements (with Jordan Blocher and Eric J. Olson), Physica D, 376-377, 49--59 (2018) pdf .
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 .
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 .
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 .
Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equation (with Luan T. Hoang), Asymptotic Anal., 104, 167--190 (2017) pdf .
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 .
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 .
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 .
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 .
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 .
April 23 |
Tulane University Applied and Computational Math 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) |
