Bessaih, Hakima

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Bessaih, Hakima Graduate Faculty

Positions

Professor, Mathematics and Statistics , College of Arts, Sciences & Education

hbessaih@fiu.edu

overview

Hakima Bessaih is a Professor in the Department of Mathematics and Statistics.

selected scholarly works & creative activities

Article
- 2025
  
  Synchronization of stochastic complex networks of reaction diffusion equations. Nonlinearity. 38.
  Full Text via DOI: 10.1088/1361-6544/ae1dd8 Web of Science: 001622718500001
- 2025
  
  HOMOGENIZATION AND CORRECTOR RESULTS FOR A STOCHASTIC COUPLED THERMOELASTIC MODEL. Discrete and Continuous Dynamical Systems. Series A. 45:2349-2380.
  Full Text via DOI: 10.3934/dcds.2024168 Web of Science: 001375216600001
- 2025
  
  Rate of convergence of a semi-implicit time euler scheme for a 2D bénard-boussinesq model. Stochastics and Partial Differential Equations: Analysis and Computations.
  Full Text via DOI: 10.1007/s40072-024-00347-8 Web of Science: 001410186900001
- 2022
  
  Space-time Euler discretization schemes for the stochastic 2D Navier-Stokes equations. Stochastics and Partial Differential Equations: Analysis and Computations. 10:1515-1558.
  Full Text via DOI: 10.1007/s40072-021-00217-7 Web of Science: 000704536800001
- 2022
  
  Synchronization of stochastic lattice equations and upper semicontinuity of attractors. Stochastic Analysis and Applications. 40:1067-1103.
  Full Text via DOI: 10.1080/07362994.2021.1981383 Web of Science: 000707896100001
- 2022
  
  Speed of Convergence of Time Euler Schemes for a Stochastic 2D Boussinesq Model. Mathematics. 10.
  Full Text via DOI: 10.3390/math10224246 Web of Science: 000887476000001
- 2022
  
  Strong L² convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations. Stochastics and Partial Differential Equations: Analysis and Computations. 10:1005-1049.
  Full Text via DOI: 10.1007/s40072-022-00255-9 Web of Science: 000792553400001
- 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
  
  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
  
  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. Nonlinear Differential Equations and Applications. 27.
  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 L² convergence of time numerical schemes for the stochastic two-dimensional Navier-Stokes equations. IMA Journal of Numerical Analysis. 39:2135-2167.
  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. Series A. 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. Journal of Statistical Physics. 174:562-578.
  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 : Non-linear phenomena. 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. Journal of Statistical Physics. 166:1276-1309.
  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 : Non-linear phenomena. 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. Stochastics and Partial Differential Equations: Analysis and Computations. 3:479-505.
  Full Text via DOI: 10.1007/s40072-015-0058-6
- 2015
  
  Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type. Nonlinear Differential Equations and Applications. 22:1661-1697.
  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. Networks and Heterogeneous Media. 10:343-367.
  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. Mathematical Engineering. 20:37-52.
  Full Text via DOI: 10.1007/978-3-319-18206-3_2
- 2014
  
  Splitting up method for the 2d stochastic navier–stokes equations. Stochastics and Partial Differential Equations: Analysis and Computations. 2:433-470.
  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. Series A. 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. Semigroup Forum. 88:76-92.
  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. Stochastic Processes and their Applications. 124:199-219.
  Full Text via DOI: 10.1016/j.spa.2013.07.002 Web of Science: 000329594400008
- 2012
  
  Invariant Measures of Gaussian Type for 2D Turbulence. Journal of Statistical Physics. 149:259-283.
  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. Journal of Statistical Physics. 140:688-717.
  Full Text via DOI: 10.1007/s10955-010-0010-0 Web of Science: 000280249500005
- 2009
  
  Large deviation principle and inviscid shell models. Electronic Journal of Probability. 14:2551-2579.
  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. Journal of Statistical Physics. 125:677-716.
  Full Text via DOI: 10.1007/s10955-006-9203-y Web of Science: 000242609600007
- 2005
  
  The evolution of a random vortex filament. Annals of Probability. 33:1825-1855.
  Full Text via DOI: 10.1214/009117905000000323 Web of Science: 000232345300007
- 2004
  
  Limit behaviour of a dense collection of vortex filaments. Mathematical Models and Methods in Applied Sciences. 14:189-215.
  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. Electronic Journal of Probability. 5:1-16.
  Full Text via DOI: 10.1214/EJP.v5-59
- 2000
  
  Weak attractor for a dissipative Euler equation. Journal of Dynamics and Differential Equations. 12:713-732.
  Full Text via DOI: 10.1023/A:1009042520953
- 1999
  
  Martingale solutions for stochastic Euler equations. Stochastic Analysis and Applications. 17:713-725.
  Full Text via DOI: 10.1080/07362999908809631 Web of Science: 000082898800001
- 1999
  
  2-D Euler equation perturbed by noise. Nonlinear Differential Equations and Applications. 6:35-54.
  Full Text via DOI: 10.1007/s000300050063 Web of Science: 000208696800003
- 1996
  
  On the stability of the solutions to the compressible Navier-Stokes equations when the Math number goes to zero. Nonlinear Differential Equations and Applications. 3:509-520.
  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. ESAIM: Mathematical Modelling and Numerical Analysis. 50:1817-1823.
  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
Other Scholarly Work
- 2020
  
  Special Issue for Recent Trends in SPDEs and Stochastic Analysis (In Honor of Franco Flandoli's 60th Birthday) Preface. Stochastics and Dynamics.
  Full Text via DOI: 10.1142/S0219493720020013 Web of Science: 000580940600001

principal investigator on

Inviscid Limits, Uniqueness, and Anomalous Dissipation in Hydrodynamics awarded by National Science Foundation 2021 - 2025
Computational fluid dynamics : numerical approximation and long time behavior awarded by FACE 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

full name

Hakima Bessaih

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Co-investigator Network