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Bessaih, Hakima
Graduate Faculty
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Professor
,
Mathematics and Statistics
,
College of Arts, Sciences & Education
hbessaih@fiu.edu
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Overview
Scholarly & Creative Works
Research
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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
Article
2022
Space-time Euler discretization schemes for the stochastic 2D Navier-Stokes equations
Full Text via DOI:
10.1007/s40072-021-00217-7
Web of Science:
000704536800001
2022
Speed of Convergence of Time Euler Schemes for a Stochastic 2D Boussinesq Model
Full Text via DOI:
10.3390/math10224246
Web of Science:
000887476000001
2022
Continuous 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
2022
Strong L-2 convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations
Full Text via DOI:
10.1007/s40072-022-00255-9
Web of Science:
000792553400001
2022
Stochastic elliptic-parabolic system arising in porous media
.
STOCHASTICS AND DYNAMICS
. 22.
Full Text via DOI:
10.1142/S0219493722400226
Web of Science:
000810931600003
2022
Strong 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
2021
Synchronization of stochastic lattice equations and upper semicontinuity of attractors
Full Text via DOI:
10.1080/07362994.2021.1981383
Web of Science:
000707896100001
2021
STOCHASTIC 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
2020
Stochastic 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
2020
Invariant 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
2020
Synchronization of stochastic lattice equations
Full Text via DOI:
10.1007/s00030-020-00640-0
Web of Science:
000539229900001
2020
LONGTIME 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
2019
Strong
L
2
convergence of time numerical schemes for the stochastic two-dimensional Navier-Stokes equations
Full Text via DOI:
10.1093/imanum/dry058
Web of Science:
000491253300018
2019
STOCHASTIC 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
2019
Mean Field Limit of Interacting Filaments for 3D Euler Equations
Full Text via DOI:
10.1007/s10955-018-2189-4
Web of Science:
000458663400004
2018
Numerical 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
2018
On 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
2018
On 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
2017
Mean Field Limit of Interacting Filaments and Vector Valued Non-linear PDEs
Full Text via DOI:
10.1007/s10955-016-1706-6
Web of Science:
000395082700008
2017
The 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
2017
STOCHASTIC 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
2016
STATISTICAL 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
2016
On 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
2016
Stochastic 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
2016
ERGODICITY 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
2016
Homogenization 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
2015
Homogenization of brinkman flows in heterogeneous dynamic media
Full Text via DOI:
10.1007/s40072-015-0058-6
2015
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
Full Text via DOI:
10.1007/s00030-015-0339-9
Web of Science:
000363268700006
2015
HOMOGENIZATION OF THE EVOLUTION STOKES EQUATION IN A PERFORATED DOMAIN WITH A STOCHASTIC FOURIER BOUNDARY CONDITION
Full Text via DOI:
10.3934/nhm.2015.10.343
Web of Science:
000355247400005
2015
Continuous 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
2015
Fractional Brownian motion and an application to fluids
Full Text via DOI:
10.1007/978-3-319-18206-3_2
2014
Splitting up method for the 2d stochastic navier–stokes equations
Full Text via DOI:
10.1007/s40072-014-0041-7
2014
PATHWISE 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
2014
Criterion on stability for Markov processes applied to a model with jumps
Full Text via DOI:
10.1007/s00233-013-9503-x
Web of Science:
000330987500006
2014
Inviscid 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
2014
On a stochastic Leray-α model of Euler equations
Full Text via DOI:
10.1016/j.spa.2013.07.002
Web of Science:
000329594400008
2012
Invariant Measures of Gaussian Type for 2D Turbulence
Full Text via DOI:
10.1007/s10955-012-0601-z
Web of Science:
000309875000005
2012
Invariant 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
2010
Stochastic Attractors for Shell Phenomenological Models of Turbulence
Full Text via DOI:
10.1007/s10955-010-0010-0
Web of Science:
000280249500005
2009
Large deviation principle and inviscid shell models
Full Text via DOI:
10.1214/EJP.v14-719
Web of Science:
000272621700001
2007
Upper 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
2006
Some rigorous results on a stochastic GOY model
Full Text via DOI:
10.1007/s10955-006-9203-y
Web of Science:
000242609600007
2005
The evolution of a random vortex filament
Full Text via DOI:
10.1214/009117905000000323
Web of Science:
000232345300007
2004
Limit behaviour of a dense collection of vortex filaments
Full Text via DOI:
10.1142/S0218202504003209
Web of Science:
000220168100002
2003
Semi-linearized compressible Navier-Stokes equations perturbed by noise
.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
.
Web of Science:
000208686900002
2002
Some 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
2000
Stochastic weak attractor for a dissipative euler equation
Full Text via DOI:
10.1214/EJP.v5-59
2000
Weak attractor for a dissipative Euler equation
Full Text via DOI:
10.1023/A:1009042520953
1999
Martingale solutions for stochastic Euler equations
Full Text via DOI:
10.1080/07362999908809631
Web of Science:
000082898800001
1999
2-D Euler equation perturbed by noise
Full Text via DOI:
10.1007/s000300050063
1996
On the stability of the solutions to the compressible Navier-Stokes equations when the Math number goes to zero
Full Text via DOI:
10.1007/BF01193833
Web of Science:
000208959800006
EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS FOR THE MODIFIED ANISOTROPIC 3D NAVIER-STOKES EQUATIONS
Full Text via DOI:
10.1051/m2an/2016008
Web of Science:
000388087600009
Book
2016
Stochastic Equations for Complex Systems Theoretical and Computational Topics
2015
Stochastic Equations for Complex Systems Theoretical and Computational Topics
Book Chapter
2015
Stochastic Incompressible Euler Equations in a Two-dimensional Domain
. 135-155.
Web of Science:
000380563100005
2008
Stationary solutions for the 2D stochastic dissipative Euler equation
. 23-36.
Web of Science:
000254377400003
Editorial Material
2020
Preface
.
STOCHASTICS AND DYNAMICS
.
Full Text via DOI:
10.1142/S0219493720020013
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
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
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ORCID iD
https://orcid.org/0000-0002-2231-5586
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