Titi

A. Cheskidov, D. D. Holm, E. Olson, and E. S. Titi, On a Leray-$\alpha$ Model of Turbulence, Royal
Society London, Proceedings, Series A, Mathematical, Physical & Engineering Sciences ,
(August 7, 2003, submitted). (pdf)(ps).

P. Constantin, I. G. Kevrekidis and E. S. Titi, Asymptotic States of a Smoluchowski Equation, Archive
of Rational Mechanics and Analysis, (July, 29, 2003, submitted). (pdf)(ps)

C. Cao, E.S. Titi and M. Ziane, A ``horizontal" hyper--diffusion $3-D$ thermocline
planetary geostrophic model: well-posedness and long time behavior, Nonlinearity, (September 28, 2003,
submitted). (pdf)(ps).

C. Cao, D. Holm and E.S. Titi, Traveling wave solutions for a class of 1+1 nonlinear shallow water
wave models, Journal of Dynamics and Differential Equations, (January 8, 2003, submitted). (pdf)(ps).

C. Cao, S. Chen and E.S. Titi, A turbulence model for the 1D dispersive wave, (submitted). (pdf)(ps).

PAPERS TO APPEAR

H. Bellout, S. Benachour and E.S. Titi, Finite-time singularity versus global regularity for hyperviscous
Hamilton-Jabcobi-like equations, Nonlinearity, (Submitted in September 2002, Revised March 2003). (pdf)(ps).

P. Constantin, I. Kevrekidis and E.S. Titi, Remarks on a Smoluchowski equation, Discrete and Continuous
Dynamical Systems, ( December 2002, to appear). (pdf)(ps).

E. Olson and E.S. Titi, Determining modes for continuous data assimilation in 2-D turbulence, Journal
of Statistical Physics, (August 28, 2002, to appear).(pdf)(ps).

L. Margolin, E.S. Titi and S. Wynne, The postprocessing Galerkin and nonlinear Galerkin methods -- a truncation
analysis point of view, SIAM, Journal of Numerical Analysis, (to appear).(pdf)(ps).

A.A. Ilyin and E.S. Titi, Attractors to the two-dimensional Navier-Stokes-$\alpha$ model: An
alpha-dependence study, Journal of Dynamics and Differential Equations, (to appear).
(pdf)(ps).

SELECTED RECENTLY PUBLISHED PROCEEDINGS PAPERS

C. Cao and E. S. Titi, Asymptotic behavior of viscous 1--D scalar conservation laws with Neumann boundary conditions,
Third Palestinian Mathematics Conference, Bethlehem University, West Bank, Mathematics & Mathematics Education,
S. Elaydi, E. S. Titi, M. Saleh, S. K. Jain and R. Abu Saris, editors, World Scientifc, 2002. (pdf) (ps).

SELECTED RECENTLY PUBLISHED JOURNAL PAPERS

68. Y. Chung and E. S. Titi, Inertial manifolds and Gevrey regularity for the Moore--Greitzer model of turbo--machine
engine, Journal of Nonlinear Science, 13 (2003), 1--26. (pdf)(ps).

67. C. Cao and E. S. Titi, Global well-posedness and finite dimesional global attractor for a 3-D planetary geostrophic
viscous model, Communications in Pure and Applied Mathematics, 56 (2003), 198--233. (pdf) (ps).

66. P.G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop and E. S. Titi, A continum approach to discreteness, Physics
Review E, 65 (2002), 1--13.

65. C. Cao, I. Kevrekidis and E.S. Titi, Numerical criterion for the stabilization of steady states of the Navier--Stokes
equations, Indiana University Mathematics Journal, (Special Issue in Honor of C. Foias and R. Temam), 50 (2001), 37--96.
(pdf)(ps)

64. C. Foias, D. Holm and E.S. Titi, The three dimensional viscous Camassa-Holm equations and their relation to the
Navier--Stokes equations and turbulence theory, Journal of Dynamics and Differential Equations, 14 (2002), 1--35.
(pdf) (ps).

63. C. Foias, I. Kukavica, M. Jolly and E.S. Titi, The Lorenz equations as a metaphore for the Navier--Stokes
equations, Discrete and Continuous Dynamical Systems, 7 (2001), 403--429.

62. C. Foias, D. Holm and E.S. Titi, The Navier--Stokes-alpha model of fluid turbulence, Physica D,
(Special Issue in Honor of V. E. Zakharov on the Occasion of His 60th Birthday), D152 (2001), 505--519.

61. M. Oliver and E.S. Titi, On the domain of spatial analyticity for solutions of second order nonlinear analytic
parabolic and elliptic differential equations, Journal of Differential Equations, 174 (2001), 55--74.

60. J. Novo, E.S.Titi and S. Wynne, Efficient methods using high accuracy approximate inertial manifolds,
Numerische Mathematik, 87 (2001), 523--554.

59. B. Garcia--Archilla, J. Novo and E.S. Titi, Postprocessing Fourier spectral methods: the case of
smooth solutions, Applied Numerical Mathematics, 43 (2002), 191--209.

58. M. Oliver and E.S. Titi, Remark on the decay rate of higher order derivatives of solutions to the
Navier--Stokes equations in R^n, Journal of Functional Analysis, 172 (2000), 1--18. (pdf) (ps)

57. M. Oliver and E.S. Titi, Gevrey regularity for the attractor of a partially dissipative model of B\'{e}nard
convection in a porous medium, Journal of Differential Equations, 163 (2000), 292--311.

56. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi, and S. Wynne, The Camassa--Holm equations and
turbulence, Physica, D133 (1999), 49--65. (ps).

55. S. Shvartsman, C. Theodoropoulos, R. Rico-Martinez, I.G. Kevrekidis, E.S. Titi, and T. J. Mountziares,
Order reduction of nonlinear dynamic models for distributed reacting systems, Journal of Process Control,
10 (2000), 177--184.

54. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi and S. Wynne, A connection between Camassa--Holm
equations and turbulent flows in channels and pipes, Physics of Fluids, 11 (1999), 2343--2353.)(pdf)(ps)

53. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi and S. Wynne, The Camassa--Holm equations as a closure
model for turbulent channel flow, Physical Review Letters, 81 (1998), 5338--5341. (pdf) (ps)

52. B. Garcia--Archilla and E.S. Titi, Postprocessing the Galerkin method: The finite elements case,
SIAM, Journal of Numerical Analysis, 37 (2000), 470--499.

51. C. Cao, M. Rammaha and E.S. Titi, The Navier--Stokes equations on the rotating 2-D sphere: Gevrey
regularity and asymptotic degrees of freedom, Zeitschrift fu"r Angewandte Mathematik und Physik
(ZAMP), 50 (1999), 341--360.

50. H. Van Ly and E.S. Titi, Global Gevrey regularity for 3-D Be'nard convection in porous medium with zero
Darcy-Prandtl number, Journal of Nonlinear Science, 9 (1999), 333--362.