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
149 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
108 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
93 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
82 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
79 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
61 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
50 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
38 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
23 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
23 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
20 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
17 2013 The Space , Volumetric Sparseness, and 3D NSE A Farhat, Z Grujić, K Leitmeyer
Journal of Mathematical Fluid Mechanics 19, 515-523, 2017
16 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 two-dimensional incompressible velocity field A Farhat, A Larios, VR Martinez, JP Whitehead
Physical Review Fluids 9 (5), 054602, 2024
5 2024 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 Determining modes, synchronization, and intertwinement E Carlson, A Farhat, VR Martinez, C Victor
arXiv preprint arXiv:2408.01064, 2024
4 2024