Faculty

Institution

Unit

Venue

Vincent Martinez

Assistant Professor

CUNY--Hunter College

Affiliations

CUNY--Hunter College

Department of Mathematics and Statistics

Vincent Martinez is currently serving as a Cuny--Hunter College Assistant Professor at Cuny--Hunter College.

Honors

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Experiences

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Education

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Vincent Martinez

CUNY--Hunter College

Assistant Professor

You can click a keyword to filter the displayed items

applied mathematics fluid dynamics data assimilation dynamical systems boundary value problems differential equations nonlinear analysis data science applied physics time series abstract and applied analysis nonlinear functional analysis navier-stokes equations systems engineering fluid mechanics machine learning discrete dynamical systems hydrodynamic stability continuous data assimilation partial observations higher-order synchronization surface science numerical simulations thermal engineering statistical mechanics nonlinear dynamics rational mechanic spectral theory computational fluid dynamics nonlinear science chaos theory unsteady flows calculus of variations microlocal analysis state estimation riemann-hilbert problem elliptic equations potential theory thermal conduction stochastic dynamical systems stochastic phenomena turbulence modeling discrete dynamics parabolic equations high-frequency approximation inverse scattering transforms anomalous diffusion scalar transport higher dimensional problems lower bounds attractor nonlinear equations data assimilation algorithm surface quasi-geostrophic equation blurred-in-time measurements chaotic system noisy time-averaged measurements body force determining form mesh-free interpolant observables low-mode observations logarithmic inviscid regularizations generalized sqg equations local well-posedness weather prediction climate modeling geophysics parameter estimation mathematics

Notable Scholarly Works

Notable Federal Grants

Collaborators

On Turbulent Behavior of the Generalized Surface Quasi-Geostrophic Equations. Discrete and Continuous Dynamical Systems - S (2026)

turbulence modelingfluid dynamicsdiscrete dynamical systemsapplied mathematicsrational mechanicdynamical systemsdiscrete dynamics

Existence and Higher Regularity of Statistically Steady States for the Stochastic Coleman-Gurtin Equation. Evolution equations and control theory (2025)

asymptotic analysisstochastic dynamical systemsapplied mathematicsstochastic phenomenanonlinear dynamicsstatistical mechanicshigher regularitystochastic processmathematicsstochastic coleman-gurtin equationboundary value problemssteady states

On the Long-Time Statistical Behavior of Smooth Solutions of the Weakly Damped, Stochastically-Driven Kdv Equation. Transactions of the American Mathematical Society (2025)

Nathan Glatt-HoltzVincent R. MartinezGeordie H. Richards

stochastic processsmooth solutionslong-time statistical behaviorapplied mathematics

On Well-Posedness of a Mildly Dissipative Family of Active Scalar Equations in Borderline Sobolev Spaces. Journal of Differential Equations (2025)

active scalar equationsparabolic equationsabstract and applied analysisapplied mathematicsfunctional analysispartial differential equationsnonlinear functional analysisdissipative familymathematicsdifferential equationsboundary value problemsborderline sobolev spacesnonlinear analysis

Reconstruction of Wide Spectrum Forcing in Transport-Diffusion and Navier-Stokes Equations. ArXiv.org (2025)

anomalous diffusionapplied mathematicshigh-frequency approximationscalar transportpartial differential equationsstochastic partial differential equationsinverse scattering transformsphysicswide spectrumtransport phenomenadifferential equationsdiffusionboundary value problemsspectral theory

Relaxation-Based Schemes for On-The-Fly Parameter Estimation in Dissipative Dynamical Systems. Inverse Problems (2025)

Vincent R MartinezJacob MurriJared P Whitehead

dissipative dynamical systemsapplied mathematicsrelaxation-based schemesstate estimationdynamical systemson-the-fly parameter estimation

Upper Bounds on the Dimension of the Global Attractor of the 2D Navier-Stokes Equations on the β -Plane. Nonlinear Analysis (2025)

Aseel FarhatAnuj KumarVincent R. Martinez

navier-stokes equationsfluid dynamicsnumerical analysisnonlinear systemsapplied mathematicsattractorglobal attractorunmanned aerial vehiclesaerospace engineeringcomputational fluid dynamicsdynamical systemshydrodynamic stabilitynonlinear sciencelower boundsnonlinear equationsupper boundsmechanical engineeringnonlinear analysis

Data Assimilation and the Reconstruction of Surface Fluxes in Quasigeostrophic and Transport Equations.. (2024)

Jochen BröckerGiulia CarigiTobias KunaVincent Ryan Martinez

surface fluxesearth sciencedata sciencetime seriesenvironmental sciencedata assimilation

Identifying the Body Force From Partial Observations of a Two-Dimensional Incompressible Velocity Field. Physical Review Fluids (2024)

Aseel FarhatAdam LariosVincent R. MartinezJared P. Whitehead

fluid mechanicsbody forcepartial observationsapplied physicsphysics

On the Reconstruction of Unknown Driving Forces From Low-Mode Observations in the 2D Navier–Stokes Equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics (2024)

Vincent R. Martinez

navier-stokes equationsfluid dynamicsapplied mathematicslow-mode observationsmathematicsnumerical simulationsunsteady flows

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Vincent Martinez

Assistant Professor

CUNY--Hunter College

Affiliations

CUNY--Hunter College

Department of Mathematics and Statistics

Vincent Martinez is currently serving as a Cuny--Hunter College Assistant Professor at Cuny--Hunter College.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Vincent Martinez

CUNY--Hunter College

Assistant Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

On Turbulent Behavior of the Generalized Surface Quasi-Geostrophic Equations. Discrete and Continuous Dynamical Systems - S (2026)

turbulence modelingfluid dynamicsdiscrete dynamical systemsapplied mathematicsrational mechanicdynamical systemsdiscrete dynamics

Existence and Higher Regularity of Statistically Steady States for the Stochastic Coleman-Gurtin Equation. Evolution equations and control theory (2025)

On the Long-Time Statistical Behavior of Smooth Solutions of the Weakly Damped, Stochastically-Driven Kdv Equation. Transactions of the American Mathematical Society (2025)

Nathan Glatt-HoltzVincent R. MartinezGeordie H. Richards

stochastic processsmooth solutionslong-time statistical behaviorapplied mathematics

On Well-Posedness of a Mildly Dissipative Family of Active Scalar Equations in Borderline Sobolev Spaces. Journal of Differential Equations (2025)

Reconstruction of Wide Spectrum Forcing in Transport-Diffusion and Navier-Stokes Equations. ArXiv.org (2025)

Relaxation-Based Schemes for On-The-Fly Parameter Estimation in Dissipative Dynamical Systems. Inverse Problems (2025)

Vincent R MartinezJacob MurriJared P Whitehead

dissipative dynamical systemsapplied mathematicsrelaxation-based schemesstate estimationdynamical systemson-the-fly parameter estimation

Upper Bounds on the Dimension of the Global Attractor of the 2D Navier-Stokes Equations on the β -Plane. Nonlinear Analysis (2025)

Aseel FarhatAnuj KumarVincent R. Martinez

Data Assimilation and the Reconstruction of Surface Fluxes in Quasigeostrophic and Transport Equations.. (2024)

Jochen BröckerGiulia CarigiTobias KunaVincent Ryan Martinez

surface fluxesearth sciencedata sciencetime seriesenvironmental sciencedata assimilation

Identifying the Body Force From Partial Observations of a Two-Dimensional Incompressible Velocity Field. Physical Review Fluids (2024)

Aseel FarhatAdam LariosVincent R. MartinezJared P. Whitehead

fluid mechanicsbody forcepartial observationsapplied physicsphysics

On the Reconstruction of Unknown Driving Forces From Low-Mode Observations in the 2D Navier–Stokes Equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics (2024)

Vincent R. Martinez

navier-stokes equationsfluid dynamicsapplied mathematicslow-mode observationsmathematicsnumerical simulationsunsteady flows

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10 / page