| A data assimilation algorithm for the subcritical surface quasi-geostrophic equation MS Jolly, VR Martinez, ES Titi Advanced Nonlinear Studies 17 (1), 167-192, 2017 | 75 | 2017 |
| Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology VR Martinez, Z Wang, K Zhao Indiana University Mathematics Journal, 1383-1424, 2018 | 61 | 2018 |
| Higher-order synchronization for a data assimilation algorithm for the 2D Navier–Stokes equations A Biswas, VR Martinez Nonlinear Analysis: Real World Applications 35, 132-157, 2017 | 59 | 2017 |
| Data assimilation in large Prandtl Rayleigh--Bénard convection from thermal measurements A Farhat, NE Glatt-Holtz, VR Martinez, SA McQuarrie, JP Whitehead SIAM Journal on Applied Dynamical Systems 19 (1), 510-540, 2020 | 48 | 2020 |
| Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation MS Jolly, VR Martinez, EJ Olson, ES Titi Chinese Annals of Mathematics, Series B 40 (5), 721-764, 2019 | 47 | 2019 |
| Dynamically learning the parameters of a chaotic system using partial observations E Carlson, J Hudson, A Larios, VR Martinez, E Ng, JP Whitehead arXiv preprint arXiv:2108.08354, 2021 | 31 | 2021 |
| Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations VR Martinez Nonlinearity 35 (5), 2241, 2022 | 24 | 2022 |
| On Gevrey regularity of the supercritical SQG equation in critical Besov spaces A Biswas, VR Martinez, P Silva Journal of Functional Analysis 269 (10), 3083-3119, 2015 | 21 | 2015 |
| Dissipation length scale estimates for turbulent flows: a Wiener algebra approach A Biswas, MS Jolly, VR Martinez, ES Titi Journal of Nonlinear Science 24, 441-471, 2014 | 21 | 2014 |
| Data assimilation using noisy time-averaged measurements J Blocher, VR Martinez, E Olson Physica D: Nonlinear Phenomena 376, 49-59, 2018 | 18 | 2018 |
| Asymptotic expansion for solutions of the Navier–Stokes equations with non-potential body forces LT Hoang, VR Martinez Journal of Mathematical Analysis and Applications 462 (1), 84-113, 2018 | 18 | 2018 |
| A determining form for the subcritical surface quasi-geostrophic equation MS Jolly, VR Martinez, T Sadigov, ES Titi Journal of Dynamics and Differential Equations 31, 1457-1494, 2019 | 17 | 2019 |
| Asymptotic expansion in Gevrey spaces for solutions of Navier–Stokes equations LT Hoang, VR Martinez Asymptotic Analysis 104 (3-4), 167-190, 2017 | 15 | 2017 |
| On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces MS Jolly, A Kumar, VR Martinez arXiv preprint arXiv:2105.08203, 2021 | 12 | 2021 |
| On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation N Glatt-Holtz, VR Martinez, GH Richards arXiv preprint arXiv:2103.12942, 2021 | 12 | 2021 |
| On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces MS Jolly, A Kumar, VR Martinez Communications in Mathematical Physics 387 (1), 551-596, 2021 | 10 | 2021 |
| Global Cauchy Problem of a System of Parabolic Conservation Laws Arising From a Keller--Segel Type Chemotaxis Model N Zhu, Z Liu, VR Martinez, K Zhao SIAM Journal on Mathematical Analysis 50 (5), 5380-5425, 2018 | 10 | 2018 |
| Mesh-free interpolant observables for continuous data assimilation A Biswas, KR Brown, VR Martinez arXiv preprint arXiv:2108.05309, 2021 | 6 | 2021 |
| Higher-order synchronization and a refined paradigm for global interpolant observables A Biswas, KR Brown, VR Martinez Ann. Appl. Math 38 (3), 1-60, 2022 | 5 | 2022 |
| Identifying the body force from partial observations of a 2D incompressible velocity field A Farhat, A Larios, VR Martinez, JP Whitehead arXiv preprint arXiv:2302.04701, 2023 | 4 | 2023 |
Aseel FarhatAssociate Professor, Florida State University在 fsu.edu 的电子邮件经过验证
