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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2025Rate of convergence of a semi-implicit time euler scheme for a 2D bénard-boussinesq modelFull Text via DOI: 10.1007/s40072-024-00347-8 Web of Science: 001410186900001
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2024HOMOGENIZATION AND CORRECTOR RESULTS FOR A STOCHASTIC COUPLED THERMOELASTIC MODEL. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.Full Text via DOI: 10.3934/dcds.2024168 Web of Science: 001375216600001
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2022Space-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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2022Synchronization 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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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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2022Strong L2 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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2022Continuous data assimilation for displacement in a porous medium. NUMERISCHE MATHEMATIK. 151:927-962.Full Text via DOI: 10.1007/s00211-022-01306-y Web of Science: 000823336100001
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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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2021STOCHASTIC HOMOGENIZATION OF A CONVECTION-DIFFUSION EQUATION. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 53:2718-2745.Full Text via DOI: 10.1137/19M1302776 Web of Science: 000674276100002
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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 Web of Science: 000526108900025
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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 Web of Science: 000538180200015
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2020Synchronization of stochastic lattice equationsFull Text via DOI: 10.1007/s00030-020-00640-0 Web of Science: 000539229900001
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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 Web of Science: 000507859700006
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2019Strong L2 convergence of time numerical schemes for the stochastic two-dimensional Navier-Stokes equationsFull Text via DOI: 10.1093/imanum/dry058 Web of Science: 000491253300018
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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 Web of Science: 000469023800020
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2019Mean Field Limit of Interacting Filaments for 3D Euler EquationsFull Text via DOI: 10.1007/s10955-018-2189-4 Web of Science: 000458663400004
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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 Web of Science: 000437820000019
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2018On 3D Navier-Stokes equations: Regularization and uniqueness by delays. PHYSICA D. 376:228-237.Full Text via DOI: 10.1016/j.physd.2018.03.004 Web of Science: 000437962900023
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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 Web of Science: 000435065200053
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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 Web of Science: 000395082700008
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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 Web of Science: 000392463100025
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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 Web of Science: 000400748500022
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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 Web of Science: 000388953300002
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2016On the Rate of Convergence of the 2-D Stochastic Leray- 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 Web of Science: 000379296200001
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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 Web of Science: 000373540600004
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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 Web of Science: 000375490000026
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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 Web of Science: 000385612100006
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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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2015Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump typeFull Text via DOI: 10.1007/s00030-015-0339-9 Web of Science: 000363268700006
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2015HOMOGENIZATION OF THE EVOLUTION STOKES EQUATION IN A PERFORATED DOMAIN WITH A STOCHASTIC FOURIER BOUNDARY CONDITIONFull Text via DOI: 10.3934/nhm.2015.10.343 Web of Science: 000355247400005
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2015Continuous data assimilation with stochastically noisy data. NONLINEARITY. 28:729-753.Full Text via DOI: 10.1088/0951-7715/28/3/729 Web of Science: 000350568700012
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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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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 Web of Science: 000334400200004
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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 Web of Science: 000330987500006
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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 Web of Science: 000328849400001
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2014On a stochastic Leray-α model of Euler equationsFull Text via DOI: 10.1016/j.spa.2013.07.002 Web of Science: 000329594400008
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2012Invariant Measures of Gaussian Type for 2D TurbulenceFull Text via DOI: 10.1007/s10955-012-0601-z Web of Science: 000309875000005
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2012Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases. NONLINEARITY. 25.Full Text via DOI: 10.1088/0951-7715/25/4/1075 Web of Science: 000302121600010
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2010Stochastic Attractors for Shell Phenomenological Models of TurbulenceFull Text via DOI: 10.1007/s10955-010-0010-0 Web of Science: 000280249500005
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2009Large deviation principle and inviscid shell modelsFull Text via DOI: 10.1214/EJP.v14-719 Web of Science: 000272621700001
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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 Web of Science: 000249408100005
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2006Some rigorous results on a stochastic GOY modelFull Text via DOI: 10.1007/s10955-006-9203-y Web of Science: 000242609600007
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2005The evolution of a random vortex filamentFull Text via DOI: 10.1214/009117905000000323 Web of Science: 000232345300007
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2004Limit behaviour of a dense collection of vortex filamentsFull Text via DOI: 10.1142/S0218202504003209 Web of Science: 000220168100002
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2003Semi-linearized compressible Navier-Stokes equations perturbed by noise. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS.Web of Science: 000208686900002
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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 Web of Science: 000179369600001
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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 Web of Science: 000082898800001
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1996On the stability of the solutions to the compressible Navier-Stokes equations when the Math number goes to zeroFull Text via DOI: 10.1007/BF01193833 Web of Science: 000208959800006
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EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS FOR THE MODIFIED ANISOTROPIC 3D NAVIER-STOKES EQUATIONSFull Text via DOI: 10.1051/m2an/2016008 Web of Science: 000388087600009
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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.Web of Science: 000380563100005
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2008Stationary solutions for the 2D stochastic dissipative Euler equation. 23-36.Web of Science: 000254377400003
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Editorial Material
Research
principal investigator on
- Computational fluid dynamics : numerical approximation and long time behavior awarded by FACE Foundation 2021 - 2024
- Inviscid Limits, Uniqueness, and Anomalous Dissipation in Hydrodynamics awarded by National Science Foundation 2021 - 2024
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
Identifiers
ORCID iD
- https://orcid.org/0000-0002-2231-5586 (confirmed)
