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Vincent R. Martinez, Ph.D.

Affiliations: 
2014 Mathematics Indiana University, Bloomington, Bloomington, IN, United States 
Area:
Mathematics, Fluid and Plasma Physics, Geophysics
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"Vincent Martinez"
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Michael S. Jolly grad student 2014 Indiana University
 (On Gevrey regularity of equations of fluid and geophysical fluid dynamics with applications to 2D and 3D turbulence.)

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Publications

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Farhat A, Glatt-Holtz NE, Martinez VR, et al. (2020) Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements Siam Journal On Applied Dynamical Systems. 19: 510-540
Jolly MS, Martinez VR, Olson EJ, et al. (2019) Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation Chinese Annals of Mathematics, Series B. 40: 721-764
Jolly MS, Martinez VR, Sadigov T, et al. (2019) A Determining Form for the Subcritical Surface Quasi-Geostrophic Equation Journal of Dynamics and Differential Equations. 31: 1457-1494
Martinez V, Wang Z, Zhao K. (2018) Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology Indiana University Mathematics Journal. 67: 1383-1424
Zhu N, Liu Z, Martinez VR, et al. (2018) Global Cauchy Problem of a System of Parabolic Conservation Laws Arising From a Keller--Segel Type Chemotaxis Model Siam Journal On Mathematical Analysis. 50: 5380-5425
Hoang LT, Martinez VR. (2018) Asymptotic expansion for solutions of the Navier–Stokes equations with non-potential body forces Journal of Mathematical Analysis and Applications. 462: 84-113
Hoang LT, Martinez VR. (2017) Asymptotic expansion in Gevrey spaces for solutions of Navier–Stokes equations Asymptotic Analysis. 104: 167-190
Jolly MS, Martinez VR, Titi ES. (2017) A data assimilation algorithm for the subcritical surface quasi-geostrophic equation Advanced Nonlinear Studies. 17
Blocher J, Martinez VR, Olson E. (2017) Data assimilation using noisy time-averaged measurements Physica D: Nonlinear Phenomena. 49-59
Biswas A, Martinez VR. (2017) Higher-order synchronization for a data assimilation algorithm for the 2D Navier–Stokes equations Nonlinear Analysis-Real World Applications. 35: 132-157
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