Overview
biography
- Hakima Bessaih is a Professor in the Department of Mathematics and Statistics.
research interests
- Stochastic Processes, Stochastic Calculus, Hydrodynamics, Random Dynamical Systems, Nonlinear PDEs
Scholarly & Creative Works
selected scholarly works & creative activities
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Article
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2022Speed of Convergence of Time Euler Schemes for a Stochastic 2D Boussinesq ModelFull Text via DOI: 10.3390/math10224246 Web of Science: 000887476000001
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2022Continuous data assimilation for displacement in a porous medium. NUMERISCHE MATHEMATIK. 151:927-962.Full Text via DOI: 10.1007/s00211-022-01306-y
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2022Strong L-2 convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equationsFull Text via DOI: 10.1007/s40072-022-00255-9 Web of Science: 000792553400001
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2022Stochastic elliptic-parabolic system arising in porous media. STOCHASTICS AND DYNAMICS. 22.Full Text via DOI: 10.1142/S0219493722400226 Web of Science: 000810931600003
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2022Strong rates of convergence of space-time discretization schemes for the 2D Navier-Stokes equations with additive noise. STOCHASTICS AND DYNAMICS. 22.Full Text via DOI: 10.1142/S0219493722400056 Web of Science: 000803899100009
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2021Space-time Euler discretization schemes for the stochastic 2D Navier-Stokes equationsFull Text via DOI: 10.1007/s40072-021-00217-7 Web of Science: 000704536800001
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2021Synchronization of stochastic lattice equations and upper semicontinuity of attractorsFull Text via DOI: 10.1080/07362994.2021.1981383 Web of Science: 000707896100001
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2021Stochastic homogenization of a convection-diffusion equation. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 53:2718-2745.Full Text via DOI: 10.1137/19M1302776
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2020Stochastic homogenization of multicontinuum heterogeneous flows. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 374.Full Text via DOI: 10.1016/j.cam.2020.112746
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2020Invariant Measures for Stochastic Damped 2D Euler Equations. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 377:531-549.Full Text via DOI: 10.1007/s00220-020-03714-3
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2020Longtime behavior for 3D Navier-Stokes equations with constant delays. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. 19:1931-1948.Full Text via DOI: 10.3934/cpaa.2020085
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2019Stochastic homogenization for a diffusion-reaction model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 39:5403-5429.Full Text via DOI: 10.3934/dcds.2019221
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2019Mean Field Limit of Interacting Filaments for 3D Euler EquationsFull Text via DOI: 10.1007/s10955-018-2189-4
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2018Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 343:250-274.Full Text via DOI: 10.1016/j.cam.2018.04.067
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2018On 3D Navier–Stokes equations: Regularization and uniqueness by delays. PHYSICA D. 376-377:228-237.Full Text via DOI: 10.1016/j.physd.2018.03.004
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2018On stochastic modified 3D Navier–Stokes equations with anisotropic viscosity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 462:915-956.Full Text via DOI: 10.1016/j.jmaa.2017.12.053
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2017Mean Field Limit of Interacting Filaments and Vector Valued Non-linear PDEsFull Text via DOI: 10.1007/s10955-016-1706-6
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2017The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion. JOURNAL OF DIFFERENTIAL EQUATIONS. 262:1822-1849.Full Text via DOI: 10.1016/j.jde.2016.10.032
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2017Stochastic lattice dynamical systems with fractional noise. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 49:1495-1518.Full Text via DOI: 10.1137/16M1085504
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2016Homogenization of the stochastic Navier–Stokes equation with a stochastic slip boundary condition. APPLICABLE ANALYSIS. 95:2703-2735.Full Text via DOI: 10.1080/00036811.2015.1107546
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2016Statistical properties of stochastic 2D Navier-Stokes equations from linear models. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. 21:2927-2947.Full Text via DOI: 10.3934/dcdsb.2016080
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2016On the Rate of Convergence of the 2-D Stochastic Leray- α Model to the 2-D Stochastic Navier–Stokes Equations with Multiplicative Noise. APPLIED MATHEMATICS AND OPTIMIZATION. 74:1-25.Full Text via DOI: 10.1007/s00245-015-9303-7
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2016Stochastic shell models driven by a multiplicative fractional Brownian-motion. PHYSICA D. 320:38-56.Full Text via DOI: 10.1016/j.physd.2016.01.008
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2016Ergodicity of stochastic shell models driven by pure jump noise. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 48:1423-1458.Full Text via DOI: 10.1137/140997312
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2015Homogenization of brinkman flows in heterogeneous dynamic mediaFull Text via DOI: 10.1007/s40072-015-0058-6
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2015Continuous data assimilation with stochastically noisy data. NONLINEARITY. 28:723-759.Full Text via DOI: 10.1088/0951-7715/28/3/729
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2015Fractional Brownian motion and an application to fluidsFull Text via DOI: 10.1007/978-3-319-18206-3_2
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2014Splitting up method for the 2d stochastic navier–stokes equationsFull Text via DOI: 10.1007/s40072-014-0041-7
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2014Criterion on stability for Markov processes applied to a model with jumpsFull Text via DOI: 10.1007/s00233-013-9503-x
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2014Inviscid limit of stochastic damped 2D Navier-Stokes equations. NONLINEARITY. 27:1-15.Full Text via DOI: 10.1088/0951-7715/27/1/1
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2014Pathwise solutions and attractors for retarded spdes with time smooth diffusion coefficients. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 34:3945-3968.Full Text via DOI: 10.3934/dcds.2014.34.3945
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2012Invariant Measures of Gaussian Type for 2D TurbulenceFull Text via DOI: 10.1007/s10955-012-0601-z
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2012Invariant Gibbs measures of the energy for shell models of turbulence: The inviscid and viscous cases. NONLINEARITY. 25:1075-1097.Full Text via DOI: 10.1088/0951-7715/25/4/1075
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2010Stochastic Attractors for Shell Phenomenological Models of TurbulenceFull Text via DOI: 10.1007/s10955-010-0010-0
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2007Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with H-regular noise. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 208:354-361.Full Text via DOI: 10.1016/j.cam.2006.10.003
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2004Limit behaviour of a dense collection of vortex filamentsFull Text via DOI: 10.1142/S0218202504003209
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2003Semi-linearized compressible Navier-Stokes equations perturbed by noise. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 2003:1-18.
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2002Some results for the line vortex equation. NONLINEARITY. 15:1729-1746.Full Text via DOI: 10.1088/0951-7715/15/6/301
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2000Stochastic weak attractor for a dissipative euler equationFull Text via DOI: 10.1214/EJP.v5-59
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1999Martingale solutions for stochastic Euler equationsFull Text via DOI: 10.1080/07362999908809631
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Book
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Book Chapter
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2015Stochastic Incompressible Euler Equations in a Two-dimensional Domain. 135-155.Full Text via DOI: 10.1007/978-3-0348-0909-2_5
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2008Stationary Solutions for the 2D Stochastic Dissipative Euler Equation. 23-36.Full Text via DOI: 10.1007/978-3-7643-8458-6_3
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Editorial Material
Research
principal investigator on
- Inviscid Limits, Uniqueness, and Anomalous Dissipation in Hydrodynamics awarded by National Science Foundation 2021 - 2024
- Computational fluid dynamics : numerical approximation and long time behavior awarded by FACE Foundation 2021 - 2023
co-principal investigator on
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Grant
- S-STEM: JAMS @ FIU (Joint Applied Math and Stats scholarships at FIU) awarded by National Science Foundation 2023 - 2028
Contact
full name
- Hakima Bessaih
