Onsager's conjecture on the energy conservation for solutions of Euler's equation P Constantin, W E, ES Titi | 607 | 1994 |
The Navier–Stokes-alpha model of fluid turbulence C Foias, DD Holm, ES Titi Physica D: Nonlinear Phenomena 152, 505-519, 2001 | 504 | 2001 |
The three dimensional viscous Camassa–Holm equations, and their relation to the Navier–Stokes equations and turbulence theory C Foias, DD Holm, ES Titi Journal of Dynamics and Differential Equations 14, 1-35, 2002 | 472 | 2002 |
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics C Cao, ES Titi Annals of Mathematics, 245-267, 2007 | 463 | 2007 |
Camassa-Holm equations as a closure model for turbulent channel and pipe flow S Chen, C Foias, DD Holm, E Olson, ES Titi, S Wynne Physical Review Letters 81 (24), 5338, 1998 | 413 | 1998 |
On a Leray–α model of turbulence A Cheskidov, DD Holm, E Olson, ES Titi Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 370 | 2005 |
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations MS Jolly, IG Kevrekidis, ES Titi Physica D: Nonlinear Phenomena 44 (1-2), 38-60, 1990 | 339 | 1990 |
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations C Foias, GR Sell, ES Titi Journal of Dynamics and Differential Equations 1, 199-244, 1989 | 330 | 1989 |
On the computation of inertial manifolds C Foias, MS Jolly, IG Kevrekidis, GR Sell, ES Titi Physics Letters A 131 (7-8), 433-436, 1988 | 309 | 1988 |
A connection between the Camassa–Holm equations and turbulent flows in channels and pipes S Chen, C Foias, DD Holm, E Olson, ES Titi, S Wynne Physics of Fluids 11 (8), 2343-2353, 1999 | 303 | 1999 |
The Camassa–Holm equations and turbulence S Chen, C Foias, DD Holm, E Olson, ES Titi, S Wynne Physica D: Nonlinear Phenomena 133 (1-4), 49-65, 1999 | 262 | 1999 |
On approximate inertial manifolds to the Navier-Stokes equations ES Titi Journal of mathematical analysis and applications 149 (2), 540-557, 1990 | 259 | 1990 |
Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations DA Jones, ES Titi Indiana University Mathematics Journal, 875-887, 1993 | 238 | 1993 |
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models Y Cao, EM Lunasin, ES Titi Communications in Mathematical Sciences 4 (4), 823-848, 2006 | 235 | 2006 |
Regularity criteria for the three-dimensional Navier–Stokes equations C Cao, ES Titi Indiana University Mathematics Journal, 2643-2661, 2008 | 225 | 2008 |
Continuous data assimilation using general interpolant observables A Azouani, E Olson, ES Titi Journal of Nonlinear Science 24, 277-304, 2014 | 217 | 2014 |
Determining nodes, finite difference schemes and inertial manifolds C Foias, ES Titi Nonlinearity 4 (1), 135, 1991 | 213 | 1991 |
Gevrey regularity for nonlinear analytic parabolic equations AB Ferrari, ES Titi Communications in Partial Differential Equations 23 (1-2), 424-448, 1998 | 212 | 1998 |
Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor C Cao, ES Titi Archive for rational mechanics and analysis 202, 919-932, 2011 | 197 | 2011 |
Preserving symmetries in the proper orthogonal decomposition N Aubry, WY Lian, ES Titi SIAM Journal on Scientific Computing 14 (2), 483-505, 1993 | 187 | 1993 |