Continuous data assimilation for the 2D Bénard convection through velocity measurements alone A Farhat, MS Jolly, ES Titi Physica D: Nonlinear Phenomena 303, 59-66, 2015 | 139 | 2015 |
Abridged continuous data assimilation for the 2D Navier–Stokes equations utilizing measurements of only one component of the velocity field A Farhat, E Lunasin, ES Titi Journal of Mathematical Fluid Mechanics 18, 1-23, 2016 | 101 | 2016 |
Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements A Farhat, E Lunasin, ES Titi Journal of Mathematical Analysis and Applications 438 (1), 492-506, 2016 | 87 | 2016 |
On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model A Farhat, E Lunasin, ES Titi Mathematics of Climate and Weather Forecasting 2 (1), 2016 | 74 | 2016 |
Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone A Farhat, E Lunasin, ES Titi Journal of Nonlinear Science 27, 1065-1087, 2017 | 72 | 2017 |
Assimilation of nearly turbulent Rayleigh–Bénard flow through vorticity or local circulation measurements: a computational study A Farhat, H Johnston, M Jolly, ES Titi Journal of Scientific Computing 77 (3), 1519-1533, 2018 | 56 | 2018 |
Data assimilation in large Prandtl Rayleigh--Bénard convection from thermal measurements A Farhat, NE Glatt-Holtz, VR Martinez, SA McQuarrie, JP Whitehead SIAM Journal on Applied Dynamical Systems 19 (1), 510-540, 2020 | 44 | 2020 |
A data assimilation algorithm: The paradigm of the 3D Leray-α model of turbulence A Farhat, E Lunasin, ES Titi Partial differential equations arising from physics and geometry 450, 253-273, 2019 | 36 | 2019 |
On the dynamics of a rational difference equation xn+ 1= α+ βxn+ γxn− kBxn+ Cxn− k M Saleh, N Alkoumi, A Farhat Chaos, Solitons & Fractals 96, 76-84, 2017 | 27 | 2017 |
Global asymptotic stability of the higher order equation M Saleh, A Farhat Journal of Applied Mathematics and Computing 55, 135-148, 2017 | 22 | 2017 |
Shock induced Rayleigh–Taylor instability in the presence of a boundary layer L Houas, A Farhat, R Brun The Physics of fluids 31 (4), 807-812, 1988 | 22 | 1988 |
An algebraic reduction of the ‘scaling gap’in the Navier–Stokes regularity problem Z Bradshaw, A Farhat, Z Grujić Archive for Rational Mechanics and Analysis 231, 1983-2005, 2019 | 16 | 2019 |
Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model C Cao, A Farhat, ES Titi Communications in Mathematical Physics 319, 195-229, 2013 | 16 | 2013 |
The Space , Volumetric Sparseness, and 3D NSE A Farhat, Z Grujić, K Leitmeyer Journal of Mathematical Fluid Mechanics 19, 515-523, 2017 | 14 | 2017 |
Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws S Chandramouli, A Farhat, ZH Musslimani Nonlinearity 35 (3), 1286, 2022 | 6 | 2022 |
Concentration and temperature profiles in a shocked gaseous interface L Houas, A Farhat, A Ramdani, J Fortes, R Brun Proceedings of the 16th International Symposium on Shock Tubes and Waves, Aachen, 1987 | 6 | 1987 |
Identifying the body force from partial observations of a 2D incompressible velocity field A Farhat, A Larios, VR Martinez, JP Whitehead arXiv preprint arXiv:2302.04701, 2023 | 5 | 2023 |
Bounds on energy and enstrophy for the 3D Navier–Stokes-α and Leray-α models A Farhat, MS Jolly, E Lunasin Communications on Pure and Applied Analysis 13 (5), 2127-2140, 2014 | 5 | 2014 |
Long-time behavior of a two-layer model of baroclinic quasi-geostrophic turbulence A Farhat, R Lee Panetta, ES Titi, M Ziane Journal of mathematical physics 53 (11), 2012 | 4 | 2012 |
Dynamics of Some Rational Nonlinear Difference Equations A Farhat, M Saleh Birzeit University, 2000 | 3 | 2000 |