Edit Profile (opens in new tab) Titi, Edriss Saleh Co-Author Distance Author ID: titi.edriss-saleh Published as: Titi, Edriss S.; Titi, E. S.; Titi, Edriss; Titi, Edriss Saleh more...less External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 253 Publications since 1985, including 20 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 203 Co-Authors with 257 Joint Publications 5,969 Co-Co-Authors all top 5 Co-Authors 5 single-authored 25 Cao, Chongsheng 20 Jolly, Michael Summerfield 16 Bardos, Claude Williams 16 Li, Jinkai 15 Constantin, Peter 15 Foiaș, Ciprian 13 Olson, Eric J. 12 Kevrekidis, Ioannis George 11 Lunasin, Evelyn M. 10 Farhat, Aseel 10 Guo, Yanqiu 9 Jones, Don A. 9 Liu, Xin 7 Holm, Darryl Dallas 7 Ilyin, Aleksei A. 7 Larios, Adam 6 Mondaini, Cecilia F. 6 Oliver, Marcel 5 Cao, Yanping 5 García-Archilla, Bosco 5 Giga, Yoshikazu 5 Hoteit, Ibrahim 5 Knio, Omar M. 5 Levant, Boris 5 Linshiz, Jasmine S. 5 Novo, Julia 5 Nussenzveig Lopes, Helena Judith 4 Boutros, Daniel W. 4 Hieber, Matthias 4 Kalantarov, Varga K. 4 Lin, Quyuan 4 Lopes Filho, Milton da Costa 4 Martinez, Vincent R. 4 Wiedemann, Emil 4 Wynne, Shannon 3 Artstein, Zvi 3 Biswas, Animikh 3 Chen, Shiyi 3 Doelman, Arjen 3 Doering, Charles Rogers 3 Duan, Jinqiao 3 Gibbon, John D. 3 Hammoud, Mohamad Abed El Rahman 3 Hittmeir, Sabine 3 Ibrahim, Slim 3 Klein, Rupert 3 Korn, Peter 3 Kukavica, Igor 3 Ly, Hung Van 3 Niu, Dongjuan 3 Rammaha, Mohammad A. 3 Sadigov, Tural 3 Seregin, Gregory A. 3 Trabelsi, Saber 2 Azouani, Abderrahim 2 Bessaih, Hakima 2 Cao, Yu 2 Chepyzhov, Vladimir V. 2 Cheskidov, Alexey 2 Cockburn, Bernardo 2 Friedlander, Susan Jean 2 Gwiazda, Piotr 2 Holmes, Philip J. 2 Ibdah, Hussain A. 2 Kravchenko, Rostyslav V. 2 Kupferman, Raz 2 Kurien, Susan 2 Levermore, C. David 2 Margolin, Len G. 2 Markfelder, Simon 2 Mazzucato, Anna L. 2 Musslimani, Ziad H. 2 Ramos, Fabio Tozeto 2 Slemrod, Marshall 2 Świerczewska-Gwiazda, Agnieszka 2 Vishik, Marko Iosifovich 2 Xin, Zhouping 2 Zang, Aibin 2 Ziane, Mohammed 1 Abu-Saris, Raghib M. 1 Albanez, Débora A. F. 1 Altaf, M. Umer 1 Attada, Raju 1 Aubry, Nadine 1 Babin, Anatoli V. 1 Barcilon, Victor 1 Basarić, Danica 1 Becker, Robert A. 1 Bella, Peter 1 Bellout, Hamid 1 Benachour, Said 1 Bennis, Anne-Claire 1 Benzi, Roberto 1 Bercovici, Hari 1 Biferale, Luca 1 Bishop, Alan Reginald 1 Bloch, Anthony Michael 1 Bollerman, Peter 1 Brown, Harry S. 1 Carlson, Elizabeth ...and 113 more Co-Authors all top 5 Serials 19 Nonlinearity 15 Journal of Nonlinear Science 13 Journal of Differential Equations 13 Physica D 9 Archive for Rational Mechanics and Analysis 9 Communications in Mathematical Physics 8 Journal of Mathematical Physics 8 Journal of Dynamics and Differential Equations 8 Journal of Mathematical Fluid Mechanics 7 SIAM Journal on Mathematical Analysis 7 Oberwolfach Reports 6 Indiana University Mathematics Journal 6 SIAM Journal on Numerical Analysis 5 Communications on Pure and Applied Mathematics 5 Journal of Statistical Physics 5 Numerical Functional Analysis and Optimization 5 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Sciences 4 Journal of Mathematical Analysis and Applications 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Mathematics of Computation 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Applied Dynamical Systems 2 Russian Mathematical Surveys 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Theoretical and Computational Fluid Dynamics 2 Journal of Functional Analysis 2 Chinese Annals of Mathematics. Series B 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Physics of Fluids 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational Geosciences 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Physics A: Mathematical and Theoretical 2 Evolution Equations and Control Theory 2 Pure and Applied Functional Analysis 2 Mathematics of Climate and Weather Forecasting 1 IMA Journal of Numerical Analysis 1 Physics Letters. A 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 SIAM Journal on Scientific Computing 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Physical Review Letters 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Physical Review E. Third Series 1 Communications in Information and Systems 1 Multiscale Modeling & Simulation 1 Dynamics of Partial Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Geometric Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 227 Partial differential equations (35-XX) 172 Fluid mechanics (76-XX) 50 Dynamical systems and ergodic theory (37-XX) 45 Geophysics (86-XX) 40 Numerical analysis (65-XX) 25 Systems theory; control (93-XX) 24 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 8 Probability theory and stochastic processes (60-XX) 6 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 221 Publications have been cited 7,232 times in 3,056 Documents Cited by ▼ Year ▼ Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. Zbl 0818.35085 Constantin, Peter; E, Weinan; Titi, Edriss S. 242 1994 Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. Zbl 1151.35074 Cao, Chongsheng; Titi, Edriss S. 206 2007 The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 205 2002 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 184 2001 On a Leray-\(\alpha\) model of turbulence. Zbl 1145.76386 Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 160 2005 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525 Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 152 1998 Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Zbl 1127.35034 Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S. 132 2006 Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053 Cao, Chongsheng; Titi, Edriss S. 130 2008 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357 Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 116 1999 Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051 Cao, Chongsheng; Titi, Edriss S. 115 2011 Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion. Zbl 1284.35343 Larios, Adam; Lunasin, Evelyn; Titi, Edriss S. 112 2013 Global attractors and determining modes for the 3D Navier-Stokes-Voight equations. Zbl 1178.37112 Kalantarov, Varga K.; Titi, Edriss S. 100 2009 The Camassa-Holm equations and turbulence. Zbl 1194.76069 Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 98 1999 Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053 Foias, Ciprian; Sell, George R.; Titi, Edriss S. 92 1989 Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 0960.35081 Oliver, Marcel; Titi, Edriss S. 89 2000 Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations. Zbl 0796.35128 Jones, Don A.; Titi, Edriss S. 89 1993 Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030 Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 88 1990 Continuous data assimilation using general interpolant observables. Zbl 1291.35168 Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 84 2014 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246 Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 78 2016 Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080 Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S. 76 2004 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078 Foias, Ciprian; Titi, Edriss S. 76 1991 Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model. Zbl 1035.37043 Cao, Chongsheng; Titi, Edriss S. 71 2003 A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050 Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S. 71 2006 Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082 Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S. 71 1994 Gevrey regularity for nonlinear analytic parabolic equations. Zbl 0907.35061 Ferrari, Andrew B.; Titi, Edriss S. 68 1998 On approximate inertial manifolds to the Navier-Stokes equations. Zbl 0723.35063 Titi, Edriss S. 68 1990 The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zbl 0928.35120 Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S. 65 1999 Analytical study of certain magnetohydrodynamic-\(\alpha\) models. Zbl 1144.81378 Linshiz, Jasmine S.; Titi, Edriss S. 65 2007 Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297 Li, Jinkai; Titi, Edriss S. 65 2016 Euler equations for incompressible ideal fluids. Zbl 1139.76010 Bardos, C.; Titi, E. S. 64 2007 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053 Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 64 2015 Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 61 2016 Continuous data assimilation with stochastically noisy data. Zbl 1308.35161 Bessaih, Hakima; Olson, Eric; Titi, Edriss S. 60 2015 Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715 Azouani, Abderrahim; Titi, Edriss S. 60 2014 Determining finite volume elements for the 2D Navier-Stokes equations. Zbl 0778.35084 Jones, Don A.; Titi, Edriss S. 57 1992 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262 Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 57 2015 Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152 Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S. 56 2009 On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365 Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S. 54 2011 On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172 Larios, Adam; Titi, Edriss S. 52 2010 Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 51 2014 Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070 Duan, Jinqiao; Holmes, Philip; Titi, Edriss S. 50 1992 A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208 Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 49 2016 Invariant helical subspaces for the Navier-Stokes equations. Zbl 0708.76044 Mahalov, A.; Titi, E. S.; Leibovich, S. 48 1990 Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 48 2014 Continuous data assimilation for the three-dimensional Navier-Stokes-\(\alpha\) model. Zbl 1344.35078 Albanez, Débora A. F.; Nussenzveig Lopes, Helena J.; Titi, Edriss S. 48 2016 Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157 Cao, Chongsheng; Titi, Edriss S. 47 2012 Preserving symmetries in the proper orthogonal decomposition. Zbl 0774.65084 Aubry, Nadine; Lian, Wen-Yu; Titi, Edriss S. 47 1993 Onsager’s conjecture for the incompressible Euler equations in bounded domains. Zbl 1390.35241 Bardos, Claude; Titi, Edriss S. 46 2018 Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models. Zbl 1110.76011 Olson, Eric; Titi, Edriss S. 45 2007 Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048 Hayden, Kevin; Olson, Eric; Titi, Edriss S. 45 2011 Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133 Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip 45 1993 Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. Zbl 1334.35202 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 45 2016 Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325 Titi, Edriss; Li, Jinkai 44 2016 Determining modes for continuous data assimilation in 2D turbulence. Zbl 1137.76402 Olson, Eric; Titi, Edriss S. 43 2003 Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems. Zbl 0866.35091 Cockburn, Bernardo; Jones, Don A.; Titi, Edriss S. 43 1997 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027 Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 43 2016 Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 43 2017 Postprocessing the Galerkin method: A novel approach to approximate inertial manifolds. Zbl 0914.65105 García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. 42 1998 Analysis of a mixture model of tumor growth. Zbl 1292.35153 Lowengrub, John; Titi, Edriss; Zhao, Kun 42 2013 Downscaling the 2D Bénard convection equations using continuous data assimilation. Zbl 1383.65088 Altaf, M. U.; Titi, E. S.; Gebrael, T.; Knio, O. M.; Zhao, L.; McCabe, M. F.; Hoteit, I. 41 2017 Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256 Lunasin, Evelyn; Titi, Edriss S. 41 2017 Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements. Zbl 1334.35230 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 39 2016 Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations. Zbl 1023.76513 Doering, Charles R.; Titi, Edriss S. 39 1995 On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135 Levant, Boris; Ramos, Fabio; Titi, Edriss S. 38 2010 On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system. Zbl 1146.35071 Chepyzhov, Vladimir V.; Titi, Edriss S.; Vishik, Mark I. 37 2007 An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. Zbl 0930.76063 García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. 36 1999 Global well-posedness for models of shallow water in a basin with a varying bottom. Zbl 0953.76011 Levermore, C. David; Oliver, Marcel; Titi, Edriss S. 34 1996 Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit. Zbl 1420.35203 Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil 34 2019 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043 Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 33 2007 On the number of determining nodes for the 2D Navier-Stokes equations. Zbl 0773.35050 Jones, Don A.; Titi, Edriss S. 33 1992 Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations. Zbl 1191.76057 Bardos, Claude; Titi, E. S. 33 2010 On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model. Zbl 1364.86017 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 32 2016 Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058 Ilyin, A. A.; Miranville, A.; Titi, E. S. 31 2004 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091 Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 31 2017 On the domain of analyticity for solutions of second order analytic nonlinear differential equations. Zbl 1001.34003 Oliver, Marcel; Titi, Edriss S. 30 2001 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013 Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 30 2016 Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. Zbl 1365.35108 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 30 2017 The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. Zbl 1412.35224 Li, Jinkai; Titi, Edriss S. 30 2019 Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. Zbl 1291.35207 Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S. 30 2013 Existence of solutions to the Stommel-Charney model of the gulf stream. Zbl 0679.76108 Barcilon, V.; Constantin, P.; Titi, E. S. 29 1988 Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit. Zbl 1387.35462 Ramos, Fabio; Titi, Edriss S. 29 2010 Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm. Zbl 1384.35067 Mondaini, Cecilia F.; Titi, Edriss S. 29 2018 Determining modes and Grashof number in 2D turbulence: a numerical case study. Zbl 1178.76190 Olson, Eric; Titi, Edriss S. 28 2008 Analytic study of shell models of turbulence. Zbl 1113.34044 Constantin, Peter; Levant, Boris; Titi, Edriss S. 28 2006 Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations. Zbl 1106.35049 Ilyin, A. A.; Titi, E. S. 28 2006 Dissipativity of numerical schemes. Zbl 0734.65080 Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Zbl 1302.35259 Guo, Yanqiu; Rammaha, Mohammad A.; Sakuntasathien, Sawanya; Titi, Edriss S.; Toundykov, Daniel 27 2014 Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers. Zbl 1364.35277 Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin 27 2015 Postprocessing the Galerkin method: The finite-element case. Zbl 0952.65078 García-Archilla, Bosco; Titi, Edriss S. 26 2000 Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrödinger equation. Zbl 0912.35144 Oliver, Marcel; Titi, Edriss S. 26 1998 On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations. Zbl 1375.35348 Linshiz, Jasmine S.; Titi, Edriss S. 26 2010 On the rate of convergence of the nonlinear Galerkin methods. Zbl 0783.65053 Devulder, Christophe; Marion, Martine; Titi, Edriss S. 26 1993 Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Zbl 0792.35096 Doelman, Arjen; Titi, Edriss S. 26 1993 On convergence of trajectory attractors of the 3D Navier-Stokes-\(\alpha \) model as \(\alpha \) approaches 0. Zbl 1137.37037 Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V. 25 2007 On the rate of convergence of the two-dimensional \(\alpha \)-models of turbulence to the Navier-Stokes equations. Zbl 1192.35129 Cao, Yanping; Titi, Edriss S. 25 2009 Attractors for the two-dimensional Navier–Stokes-\({\alpha}\) model: an \({\alpha}\)-dependence study. Zbl 1039.35078 Ilyin, A. A.; Titi, E. S. 25 2003 Asymptotic states of a Smoluchowski equation. Zbl 1086.76003 Constantin, P.; Kevrekidis, I. G.; Titi, E. S. 24 2004 Distributed and boundary control of the viscous Burgers’ equation. Zbl 0876.93045 Ly, Hung V.; Mease, Kenneth D.; Titi, Edriss S. 24 1997 Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. Zbl 1364.35275 Li, Jinkai; Titi, Edriss S. 24 2017 Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181 Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 24 2019 Onsager’s conjecture for subgrid scale \(\alpha\)-models of turbulence. Zbl 1508.76067 Boutros, Daniel W.; Titi, Edriss S. 3 2023 Continuous and discrete data assimilation with noisy observations for the Rayleigh-Bénard convection: a computational study. Zbl 1504.76004 Hammoud, Mohamad Abed El Rahman; Le Maître, Olivier; Titi, Edriss S.; Hoteit, Ibrahim; Knio, Omar 1 2023 On the incompressible limit of a strongly stratified heat conducting fluid. Zbl 1520.76074 Basarić, Danica; Bella, Peter; Feireisl, Eduard; Oschmann, Florian; Titi, Edriss S. 1 2023 The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations. Zbl 1477.35126 Li, Jinkai; Titi, Edriss S.; Yuan, Guozhi 10 2022 On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations. Zbl 1507.35154 Ghoul, Tej Eddine; Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S. 10 2022 Well-posedness of Hibler’s dynamical sea-ice model. Zbl 1507.35294 Liu, Xin; Thomas, Marita; Titi, Edriss S. 7 2022 On the effect of fast rotation and vertical viscosity on the lifespan of the \(3D\) Primitive equations. Zbl 1491.35342 Lin, Quyuan; Liu, Xin; Titi, Edriss S. 6 2022 The inviscid limit for the 2D Navier-Stokes equations in bounded domains. Zbl 1497.35339 Bardos, Claude W.; Nguyen, Trinh T.; Nguyen, Toan T.; Titi, Edriss S. 3 2022 Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 1472.35393 Liu, Xin; Titi, Edriss S. 14 2021 Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation. Zbl 1464.35228 Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S. 12 2021 Algebraic bounds on the Rayleigh-Bénard attractor. Zbl 1457.35034 Cao, Yu; Jolly, Michael S.; Titi, Edriss S.; Whitehead, Jared P. 6 2021 Asymptotic expansions in time for rotating incompressible viscous fluids. Zbl 1464.35182 Hoang, Luan T.; Titi, Edriss S. 2 2021 Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity. Zbl 1484.35315 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 24 2020 Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157 García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. 21 2020 Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent. Zbl 1437.35542 Luo, Tianwen; Titi, Edriss S. 21 2020 Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates. Zbl 1466.65154 Ibdah, Hussain A.; Mondaini, Cecilia F.; Titi, Edriss S. 18 2020 Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 11 2020 Zero Mach number limit of the compressible primitive equations: well-prepared initial data. Zbl 1446.35133 Liu, Xin; Titi, Edriss S. 10 2020 On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263 Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S. 6 2020 Regularity “in large” for the \(3D\) Salmon’s planetary geostrophic model of ocean dynamics. Zbl 1506.86003 Cao, Chongsheng; Titi, Edriss S. 2 2020 Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. Zbl 1442.35055 Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 1 2020 Well-posedness of strong solutions to the anelastic equations of stratified viscous flows. Zbl 1440.35240 Liu, Xin; Titi, Edriss S. 1 2020 Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit. Zbl 1420.35203 Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil 34 2019 The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. Zbl 1412.35224 Li, Jinkai; Titi, Edriss S. 30 2019 Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181 Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 24 2019 On the extension of Onsager’s conjecture for general conservation laws. Zbl 1420.35202 Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil 17 2019 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204 Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 16 2019 A data assimilation algorithm: the paradigm of the 3D Leray-\(\alpha\) model of turbulence. Zbl 1436.35274 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 16 2019 Global existence of weak solutions to the compressible primitive equations of atmospheric dynamics with degenerate viscosities. Zbl 1419.35150 Liu, Xin; Titi, Edriss S. 16 2019 Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276 Celik, Emine; Olson, Eric; Titi, Edriss S. 14 2019 Onsager’s conjecture in bounded domains for the conservation of entropy and other companion laws. Zbl 1472.35285 Bardos, C.; Gwiazda, P.; Świerczewska-Gwiazda, A.; Titi, E. S.; Wiedemann, E. 12 2019 Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155 Titi, Edriss S.; Trabelsi, Saber 12 2019 A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042 Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S. 4 2019 Axisymmetric \(3D\) Euler-\(\alpha\) equations without swirl: existence, uniqueness, and Radon measure valued solutions. Zbl 1454.76033 Jiu, Quansen; Niu, Dongjuan; Titi, Edriss S.; Xin, Zhouping 1 2019 Onsager’s conjecture for the incompressible Euler equations in bounded domains. Zbl 1390.35241 Bardos, Claude; Titi, Edriss S. 46 2018 Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm. Zbl 1384.35067 Mondaini, Cecilia F.; Titi, Edriss S. 29 2018 Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100 Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S. 20 2018 Large dispersion, averaging and attractors: three 1D paradigms. Zbl 1406.35061 Kostianko, Anna; Titi, Edriss; Zelik, Sergey 8 2018 Global stabilization of the Navier-Stokes-voight and the damped nonlinear wave equations by finite number of feedback controllers. Zbl 1402.35043 Kalantarov, Varga K.; Titi, Edriss S. 7 2018 Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053 Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 4 2018 Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 43 2017 Downscaling the 2D Bénard convection equations using continuous data assimilation. Zbl 1383.65088 Altaf, M. U.; Titi, E. S.; Gebrael, T.; Knio, O. M.; Zhao, L.; McCabe, M. F.; Hoteit, I. 41 2017 Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256 Lunasin, Evelyn; Titi, Edriss S. 41 2017 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091 Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 31 2017 Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. Zbl 1365.35108 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 30 2017 Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. Zbl 1364.35275 Li, Jinkai; Titi, Edriss S. 24 2017 Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 16 2017 Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312 Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 9 2017 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211 Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 5 2017 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246 Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 78 2016 Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297 Li, Jinkai; Titi, Edriss S. 65 2016 Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 61 2016 A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208 Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 49 2016 Continuous data assimilation for the three-dimensional Navier-Stokes-\(\alpha\) model. Zbl 1344.35078 Albanez, Débora A. F.; Nussenzveig Lopes, Helena J.; Titi, Edriss S. 48 2016 Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. Zbl 1334.35202 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 45 2016 Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325 Titi, Edriss; Li, Jinkai 44 2016 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027 Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 43 2016 Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements. Zbl 1334.35230 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 39 2016 On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model. Zbl 1364.86017 Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. 32 2016 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013 Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 30 2016 A tropical atmosphere model with moisture: global well-posedness and relaxation limit. Zbl 1345.35116 Li, Jinkai; Titi, Edriss S. 22 2016 Finite-parameters feedback control for stabilizing damped nonlinear wave equations. Zbl 1350.35123 Kalantarov, Varga K.; Titi, Edriss S. 9 2016 Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations. Zbl 1408.35166 Larios, Adam; Titi, Edriss S. 9 2016 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053 Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 64 2015 Continuous data assimilation with stochastically noisy data. Zbl 1308.35161 Bessaih, Hakima; Olson, Eric; Titi, Edriss S. 60 2015 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262 Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 57 2015 Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers. Zbl 1364.35277 Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin 27 2015 A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135 Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 15 2015 Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions. Zbl 1328.35153 Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin 14 2015 On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058 Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. 14 2015 Inertial manifolds for certain subgrid-scale \(\alpha\)-models of turbulence. Zbl 1328.35150 Hamed, Mohammad Abu; Guo, Yanqiu; Titi, Edriss S. 12 2015 Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello. Zbl 1326.35313 Guo, Yanqiu; Simon, Konrad; Titi, Edriss S. 8 2015 Continuous data assimilation using general interpolant observables. Zbl 1291.35168 Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 84 2014 Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715 Azouani, Abderrahim; Titi, Edriss S. 60 2014 Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 51 2014 Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089 Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 48 2014 Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Zbl 1302.35259 Guo, Yanqiu; Rammaha, Mohammad A.; Sakuntasathien, Sawanya; Titi, Edriss S.; Toundykov, Daniel 27 2014 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108 Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 22 2014 Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations. Zbl 1307.76083 Larios, Adam; Titi, Edriss S. 19 2014 Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066 Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. 10 2014 Planar limits of three-dimensional incompressible flows with helical symmetry. Zbl 1312.35144 Lopes Filho, Milton C.; Mazzucato, Anna L.; Niu, Dongjuan; Lopes, Helena J. Nussenzveig; Titi, Edriss S. 8 2014 Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion. Zbl 1284.35343 Larios, Adam; Lunasin, Evelyn; Titi, Edriss S. 112 2013 Analysis of a mixture model of tumor growth. Zbl 1292.35153 Lowengrub, John; Titi, Edriss; Zhao, Kun 42 2013 Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. Zbl 1291.35207 Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S. 30 2013 Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200 Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 10 2013 Persistency of analyticity for nonlinear wave equations: An energy-like approach. Zbl 1298.35022 Guo, Yanqiu; Titi, Edriss S. 10 2013 On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations. Zbl 1275.35057 Biferale, Luca; Titi, Edriss S. 8 2013 The 3D incompressible Euler equations with a passive scalar: a road to blow-up? Zbl 1292.35216 Gibbon, John D.; Titi, Edriss S. 5 2013 Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Zbl 1305.35107 Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 1 2013 Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157 Cao, Chongsheng; Titi, Edriss S. 47 2012 The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow. Zbl 1253.35107 Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil 22 2012 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103 Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 20 2012 Long-time behavior of a two-layer model of baroclinic quasi-geostrophic turbulence. Zbl 1282.86011 Farhat, Aseel; Lee Panetta, R.; Titi, Edriss S.; Ziane, Mohammed 1 2012 Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051 Cao, Chongsheng; Titi, Edriss S. 115 2011 On the regularization mechanism for the periodic Korteweg-de Vries equation. Zbl 1284.35365 Babin, Anatoli V.; Ilyin, Alexei A.; Titi, Edriss S. 54 2011 Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations. Zbl 1302.76048 Hayden, Kevin; Olson, Eric; Titi, Edriss S. 45 2011 Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063 Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S. 9 2011 On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172 Larios, Adam; Titi, Edriss S. 52 2010 On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135 Levant, Boris; Ramos, Fabio; Titi, Edriss S. 38 2010 Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations. Zbl 1191.76057 Bardos, Claude; Titi, E. S. 33 2010 ...and 121 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,912 Authors 131 Titi, Edriss Saleh 40 Rebholz, Leo G. 36 Holm, Darryl Dallas 34 Jolly, Michael Summerfield 33 Wu, Jiahong 32 Temam, Roger Meyer 31 Kukavica, Igor 28 Foiaș, Ciprian 26 Guo, Boling 25 Gao, Hongjun 24 Nguyen Huy Tuan 23 Constantin, Peter 23 Vicol, Vlad C. 21 Cung The Anh 21 Yamazaki, Kazuo 20 Zelik, Sergey V. 19 Berselli, Luigi Carlo 19 Cao, Chongsheng 19 Hieber, Matthias 19 Mohan, Manil Thankamani 19 Zhang, Zujin 18 Biswas, Animikh 18 Chae, Dongho 18 Li, Jinkai 18 Skalák, Zdeněk 17 Dong, Boqing 17 Guo, Zhengguang 17 He, Yinnian 16 Bessaih, Hakima 16 Duan, Jinqiao 16 Himonas, A. 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