
Department of Mathematics 
Professor Emeritus Edriss S. Titi
Mathematics, Mechanical and Aerospace Engineering

Rowland Room 510C (949) 4079877 Mobile 
PUBLICATIONS
(Please
contact me at etiti@math.uci.edu for preprints
and reprints)
RECENT PREPRINTS (Can be
found on the arXiv)
M. Lopes Filho,
H. Nussenzveig Lopes, E.S. Titi
and A. Zang, Convergence of the 2D Eulerα to
Euler equations in the Dirichlet case: indifference
to boundary layers, (submitted). arXiv:1403.5682
A. Azouani
and E.S. Titi, Feedback control of nonlinear
dissipative systems by finite determining
parameters  a reactiondiffusion paradigm, (submitted). arXiv:1301.6992
H. Bessaih,
E. Olson and E.S. Titi, Continuous assimilation of
data with stochastic noise, (submitted). arXiv:1406.1533
D.A.F. Albanez,
H.J. Nussenzveig Lopes and E.S. Titi,
Continuous data assimilation for the threedimensional NavierStokesα
model, (submitted).
Y. Guo,
K. Simon and E.S. Titi, On
a nonlinear system of coupled KdV equations,
(submitted). arXiv:1310.1130
A. Larios
and E.S. Titi, Global regularity vs. finitetime
singularities: some paradigms on the effect of boundary conditions and certain
perturbations, (submitted). arXiv:1401.1534
C. Cao, J. Li and E.S. Titi, Global wellposedness
for the 3D primitive equations with only horizontal viscosity and diffusion,
(submitted). arXiv:1406.1995
M.S. Jolly, T. Sadigov and E.S. Titi, A
determining form for the damped driven nonlinear Schr\"{o}dinger equation Fourier modes case, (submitted). arXiv:1406.2626
Q. Jiu, D. Niu,
E.S. Titi and Z. Xin, Axisymmetric Eulerα equations without swirl: existence, uniqueness and Radon
measure valued solutions, (submitted).
C. Cao, S. Chen and E.S. Titi, A turbulence model
for the 1D dispersive wave, (Preprint).
PAPERS TO APPEAR
Y. Guo,
M A. Rammaha, S. Sakuntasathien,
E.S. Titi, D. Toundykov, Hadamard wellposedness
for a hyperbolic equation of viscoelasticity with supercritical sources and
damping, Journal of Differential Equations, (to appear). arXiv:1308.0720
C. Cao, J. Li and E.S. Titi, Local and global wellposedness
of strong solutions to the 3D primitive equations with vertical eddy
diffusivity, Archive of Analysis and Rational Mechanics, (to appear). arXiv:1312.6035
A. Biswas, M.S. Jolly, V.
Martinez and Edriss S. Titi,
Dissipation length scale estimates for turbulent flows  a Wiener algebra
approach, Journal of Nonlinear Science, (2013) (in press). arXiv:1310.3496
P. Gérard, Y. Guo and E.S. Titi, On the
radius of analyticity of solutions to the cubic Szegö
equation, Annales de l'Institut
Henri Poincaré (C) Analyse
Non Linéaire, (in press). http://dx.doi.org/10.1016/j.anihpc.2013.11.001.
arXiv:1303.6148
C. Cao, S. Ibrahim, K. Nakanishi
and E.S. Titi,
Finitetime blowup for the inviscid
primitive equations of oceanic and atmospheric dynamic, Communications in
Mathematical Physics, (to appear). arXiv:1210.7337
C. Cao, J. Li and E.S. Titi, Global wellposedness of
strong solutions to the 3D primitive equations with horizontal eddy diffusivity,
Journal of Differential Equations, (to appear). arXiv:1401.1234
SELECTED RECENTLY PUBLISHED
PROCEEDINGS PAPERS
6. K.RíosSoto,
C. CastilloChavez, M. Neubert, E.S. Titi, A. Yakubu, Epidemic
spread in population demographic equilibrium, Proceeding
of the Snowbird Conference on Modeling The Dynamics of Human Diseases: Emerging
Paradigms and Challenges. Eds. A. Gumel (Chief
Editor), C. CastilloChavez, D.P. Clemence, and R.E. Mickens, (2006).
5. C. Cao and E. S. Titi, Asymptotic behavior of viscous 1D 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
4. S. Shvartsman,
C. Theodoropoulos, R. RicoMartinez, I.G. Kevrekidis, E.S. Titi, and T. J. Mountziares, Order reduction of nonlinear dynamic models
for distributed reacting systems, Proceedings of DYCOPS5, Corfou, Greece, June 1997, C. Georgakis,
ed., pp.674681.
3. A. Doelman
and E.S. Titi, On the exponential rate of
convergence of the Galerkin approximation in GinzburgLandau equation, Proceedings of the NATO Advanced Research Workshop: Asymptotic
and Numerical Methods for Partial
Differential Equations with Critical
Parameters, M. Garbey and H.G. Kaper,
eds., Kluwer Academic Publishers,
Dordrecht, 1993, pp. 241252.
2. A. Bloch and E.S. Titi, On the dynamics of
rotating elastic beams, Proceedings of: New Trends in Systems Theory, July
911, 1990, Genoa, Italy: G. Conte, A.M. Perdon and
B. Wyman, eds., Birkhäuser, Boston, Basel, Berlin.
1. H.S. Brown, M.S. Jolly and
I.G. Kevrekidis and E.S. Titi,
Use of approximate inertial manifolds in bifurcation calculations,
Proceedings of NATO Advanced Research Workshop on: Continuation and
Bifurcations : Numerical Techniques and
Applications, September 18  22, 1989,
Belgium, D. Roose et al. (eds.), pp. 923, Kluwer
Academic Publishers.
SELECTED RECENTLY PUBLISHED JOURNAL PAPERS
154. C. Cao, A. Farhat and E.S. Titi, Global
regularity for an inviscid threedimensional slow
limiting ocean dynamics model, Communications in Information and Systems
(CIS), 13(1) (2013), 97122. (An invited article
for a special issue in honor of Professor Marshall Slemrod
on the occasion of his 70th birthday). arXiv:1311.6064
150. C. Foias,
M. Jolly, R. Kravchenko and E.S. Titi,
A unified approach to determining forms for the 2D NavierStokes
equations  the general interpolants case, Uspekhi Matematicheskikh Nauk, 69(2) (2014) 177200; also Russian Mathematical Surveys, 69(2)
(2014) 359381. (An invite article for a special issue in memory of Professor Mark Vishik).
arXiv:1309.0247
148. A. Azouani,
E. Olson and E.S. Titi, Continuous data assimilation using general
interpolant observables,
Journal of Nonlinear Science, 24(2)
(2014), 277304. DOI
10.1007/s003320139189y. arXiv:1304.0997
147. Y. Guo
and E.S. Titi, Persistency of analyticity for
quasilinear wave equations: an energylike approach, Bulletin of Institute of Mathematics, Academia Sinica (New Series), 8(4) (2013), 445479.
(2013), (An invite article for a
special issue in honor of Professor Neil Trudinger on the occasion of
his 70th birthday). arXiv:1301.0137
146. A.
Larios, E. Lunasin and E.S.
Titi, Global wellposedness
for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion,
Journal of Differential Equations, 255 (2013), 26362654.
144. J. Lowengrub, E.S. Titi and K. Zhao, Analysis of a mixture model of tumor
growth, European Journal of Applied Mathematics, 24 (2013), 691734.
143. C. Bardos, M. Lopes Filho, D. Niu, H. Nussenzveig Lopes and E.S. Titi, Stability
of viscous, and instability of nonviscous, 2D weak solutions of incompressible
fluids under 3D perturbations, SIAM, Journal on Mathematical Analysis, 45(3)
(2013), 18711885.
142. L. Biferale and
E.S. Titi, On the
global regularity of a helicaldecimated version of the 3D NavierStokes
equations, Journal of Statistical Physics, 151 (2013), 10891098.
141.
J.D. Gibbon and E.S. Titi, 3D incompressible Euler
with a passive scalar: a road to blow up? Journal of Nonlinear Science, 23(6)
(2013), 9931000. DOI 10.1007/s0033201391754.
140. C.
Bardos and E.S. Titi, Mathematics
and turbulence: where do we stand? Journal of Turbulence, 14(3)
(2013), 4276.
139. A.
Larios, E. S. Titi, Higherorder global regularity of an inviscid Voigtregularization of the threedimensional inviscid resistive magnetohydrodynamic
equations, Journal of Mathematical Fluid Mechanics, 16 (2014),
59–76. DOI 10.1007/s0002101301363. arXiv:1104.0358.
138. C.
Foias, M. Jolly, R. Kravchenko
and E.S. Titi, A determining form for the 2D NavierStokes equations  the Fourier modes case, Journal of Mathematical Physics, 53
(2012), 115623. (An invite article for a special issue in
honor of Professor P. Constantin on the occasion of his 60th birthday).
137.
C.R. Doering, I. Kukavica
and E.S. Titi, Introduction to special issue:
incompressible fluids, turbulence and mixing, Journal of Mathematical
Physics, 53 (2012), 115501.
136. C. Cao, A. Farhat and E.S.
Titi, Global wellposedness
of an inviscid threedimensional pseudoHasegawaMima model, Communications in Mathematical Physics, 319(1)
(2013), 195229.
135. C.
Bardos, E.S. Titi and E. Wiedemann, The vanishing viscosity as a selection
principle for the Euler equations: The case of 3D shear flow; La viscosité évanescente comme critère de sélection pour les solutions de l’équation
d’Euler: Le cas du flot de cisaillement, Comptes Rendus De L'Académie Des
Sciences, Paris, Série
I, Mathématique, 350(15) (2012), 757760.
134. A.
Farhat, L. Panetta, E.S. Titi
and M.B. Ziane, Longtime behavior of a twolayer
model of baroclinic quasigeostrophic turbulence,
Journal of Mathematical Physics, 53
(2012), 115603. (An invite article for a special
issue in honor of Professor P. Constantin on the occasion of his 60th
birthday).
133. C.
Cao and E.S. Titi, Global wellposedness
of the threedimensional stratified primitive equations with partial vertical
mixing turbulence diffusion, Communications in Mathematical Physics, 310
(2012), 537568.
132. K. Hayden, E. Olson and E.S. Titi,
Discrete data assimilation in the Lorenz and 2D Navier–Stokes
equations, Physica D, 240 (2011), 14161425.
131. Z.
Artstein, C.W. Gear, I.G. Kevrekidis,
M. Slemrod and E.S. Titi, Analysis
and computation of a discrete KdVBurgers type
equation with fast dispersion and slow diffusion, SIAM Journal on Numerical
Analysis, 49(5) (2011), 21242143.
130.
A.V. Babin, A.A. Ilyin, and
E.S. Titi, On the
regularization mechanism for the spatially periodic Kortewegde
Vries equation, Communications in Pure and
Applied Mathematics, 64 (2011), 591648.
129. C. Cao and E.S. Titi, Global
regularity criterion for the 3D NavierStokes
equations involving one entry of the velocity gradient tensor, Archive of Rational Mechanics & Analysis,
202 (2011), 919932.
128. H. Bessaih,
F. Flandoli and E.S. Titi, Stochastic attractors for shell
phenomenological models of turbulence, Journal of Statistical Physics, 140 (2010), 688717.
127. F. Ramos and E.S. Titi, Invariant measures for the 3D NavierStokesVoigt equations and their NavierStokes limit, Discrete and Continuous Dynamical Systems, 28(1) (2010), 375403. (An invite article for a special issue in honor of Professor R. Temam on the occasion of his 70th birthday).
126. A. Larios and E.S. Titi, On the higherorder global regularity of the inviscid Voigtregularization of threedimensional hydrodynamic models, Discrete and Continuous Dynamical Systems, 14(2) (2010), 603627. (An invite article for a special issue in honor of Professor P. Kloeden on the occasion of his 60th birthday).
125. J. Linshiz and E.S. Titi, On the convergence rate of the Eulerα,inviscid secondgrade fluid, model to the Euler equations, Journal of Statistical Physics, 138(1) (2010), 305332.
124. C. Bardos
and E.S. Titi, Loss
of smoothness and energy conserving rough weak solutions for the 3d Euler
equations, Discrete and Continuous Dynamical Systems, Series S, 3(2) (2010), 185197. (An invite article for a special issue on honor of Professor V. Solonnikov in the occasion of his 75th birthday).
123. Y. Cao and E.S. Titi, On the rate of
convergence of the twodimensional
αmodels of turbulence to the NavierStokes
equations, Numerical Functional Analysis and Optimization, 30(11&12) (2009), 12311271.
122. C. Bardos,
J. Linshiz and E.S. Titi, Global
regularity and convergence of a BirkhoffRottα
approximation of the dynamics of vortex sheets of the 2D Euler equations,
Communications in Pure and Applied Mathematics, 63(6) (2010), 697746.
121. V.K. Kalantarov and E.S. Titi, Global attractors and determining modes for the 3D NavierStokesVoight equations, Chinese Annals of Mathematics, Series B, 30(6) (2009), 697714. (An invited article for a special issue in honor of Professor A. Majda on the occasion of his 60th birthday).
120. C. Bardos, U. Frisch, W. Pauls, S.S. Ray, and E.S. Titi, Entire solutions of hydrodynamical equations with exponential dissipation, Communications in Mathematical Physics, 293 (2010), 519543.
119. B. Levant, F. Ramos and E.S. Titi, On the statistical properties of the 3D incompressible NavierStokesVoigt model, Communications in Mathematical Sciences, 8(1) (2010), 277293. (An invite article for a special issue in honor of Professor A. Majda in the occasion of his 60th birthday).
118. A.C. Bennis, R. Lewandowski and E.S. Titi, Simulations de l'écoulement turbulent marin ave un modéle de déeconvolution, Comptes Rendus De L'Académie Des Sciences, Paris, Série I, 347 (2009), 445450.
117. Y. Cao, Z.H. Musslimani and E.S. Titi, Modulation theory for selffocusing in the nonlinear SchrödingerHelmholtz equation, Numerical Functional Analysis and Optimization, 30 (2009), 4669.
116. B. Ettinger and E.S. Titi, Global existence and uniqueness of weak solutions of 3D Euler equations with helical symmetry in the absence of vorticity stretching, SIAM, Journal on Mathematical Analysis, 41(1) (2009), 269–296.
115. V.K. Kalantarov, B. Levant and E.S. Titi, Gevrey regularity of the global attractor of the 3D NavierStokesVoight equations, Journal of Nonlinear Science, 19 (2009), 133152.
114. C. Cao and E.S. Titi, Regularity criteria for the threedimensional NavierStokes equations, Indiana University Mathematics Journal, 57(6) (2008), 26432662. (An invite article for a special issue in honor of Professor C. Foias in the occasion of his 75th birthday).
113. E. Olson and E.S. Titi, Determining modes and Grashoff number in 2D turbulence – A numerical case study, Theoretical and Computational Fluid Dynamics, 22(5) (2008), 327339.
112. B.J. Geurts, A. Kuczaj and E.S. Titi, Regularization modeling for largeeddy simulation of homogeneous isotropic decaying turbulence, Journal of Physics A, 41 (2008), 344008 (29pp). (An invite article for a special issue in honor of Professor D.D. Holm in the occasion of his 60th birthday).
111. Y. Cao, Z.H. Musslimani and E.S. Titi, Nonlinear SchrödingerHelmholtz equation as numerical regularization of the nonlinear Schrödinger equation, Nonlinearity, 21 (2008), 879898.
110. E. Lunasin, S. Kurien and E.S. Titi, Spectral scaling of αmodels for twodimensional turbulence, Journal of Physics A, 41 (2008), 344014 (10pp). (An invite article for a special issue in honor of Professor D.D. Holm in the occasion of his 60th birthday).
109. G. Katriel, R. Kupferman and E.S. Titi, Longtime limit for a class of quadratic infinitedimensional dynamical systems inspired by models of viscoelastic fluids, Journal of Differential Equations, 245 (2008), 27712784.
108. C. Bardos, J. Linshiz and E.S. Titi, Global regularity for a BirkhoffRottα approximation of the dynamics of vortex sheets of the 2D Euler equations, Invited article in the occasion of 250 years for the Euler Equations, Physica D, 237 (2008) 19051911. An invited article for a special issue in the occasion of 250 years for the Euler Equations.
107. Z. Artstein, J. Linshiz and E.S. Titi, Young measure approach to computing slowly advancing fast oscillations, SIAM, Multiscale Modeling and Simulation, 6(4) (2007), 10851097.
106. R. Kupferman, C. Mangoubi and E.S. Titi, A BealeKatoMajda breakdown criterion for an OldroydB fluid in the creeping flow regime, Communications in Mathematical Sciences, 6(1) (2008), 235256.
105. Z. Artstein, I.G. Kevrekidis, M. Slemrod and E.S. Titi, Slow observables of singularly perturbed differential equations, Nonlinearity, 20 (2007), 24632481.
104. V.V. Chepyzhov, E.S. Titi, and M.I. Vishik, On convergence of trajectory attractors of 3D NavierStokesα model as α approaches 0, Matematicheskii Sbornik, 198:12 (2007), 336.
103. C. Bardos and E.S. Titi, Euler equations of incompressible ideal fluids, Uspekhi Matematicheskikh Nauk, UMN 62:3(375) (2007), 546. Also in Russian Mathematical Surveys, 62(3) (2007), 409451.
102. E.M. Lunasin, S. Kurien, M. Taylor and E.S. Titi, A study of the NavierStokesα model for twodimensional turbulence, Journal of Turbulence, 8(1) (2007), 121.
101. R. Benzi, B. Levant, I. Procaccia and E.S. Titi, Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results, Nonlinearity, 20(6) (2007), 14311443.
100. B. Khouider and E.S. Titi, An inviscid regularization for the surface quasigeostrophic equation, Communications in Pure and Applied Mathematics, 61(10) (2008), 13311346.
99. C. Cao , J. Qin and E.S. Titi, Regularity criterion for solutions of threedimensional turbulent channel flows, Communications in Partial Differential Equations, 33(13) (2008), 419428.
98. P. Constantin, B. Levant and E.S. Titi, Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence, Journal of Statistical Physics, 127(6) (2007), 11731192.
97. A.A. Ilyin and E.S. Titi, On the domain of analyticity and small scales for the solutions of the dampeddriven 2D NavierStokes equations, Dynamics of Partial Differential Equations, 4(2) (2007), 111127.
96. P. Constantin, B. Levant and E.S. Titi, A note on the regularity of inviscid shell model of turbulence, Physics Review E, 75 (2007), 016304.
95. Y. Cao, E.M. Lunasin and E.S. Titi, Global wellposedness of threedimensional viscous and inviscid simplified Bardina turbulence models, Communications in Mathematical Sciences, 4(4) (2006), 82384.
94. P. Constantin, C. Fefferman, E.S. Titi and A. Zarnescu, Regularity of coupled twodimensional Nonlinear FokkerPlanck and NavierStokes Systems, Communications in Mathematical Physics, 270(3) (2007), 789812.
93. J. Linshiz and E.S. Titi, Analytical study of certain magnetohydrodynamicsα models, Journal of Mathematical Physics, 48 (2007), 065504.
92. S.I. Chernyshenko, P. Constantin, J.C. Robinson and E.S. Titi, A posteriori regularity of the threedimensional NavierStokes equations from numerical computations, Journal of Mathematical Physics, 48 (2007), 065204.
91. Y. Cao and E.S. Titi, Trivial stationary solutions to the KuramotoSivashinsky and certain nonlinear elliptic equations, Journal of Differential Equations, 231 (2006), 755767.
90. A.A. Ilyin and E.S. Titi, The dampeddriven 2D NavierStokes system on large elongated domains, Journal of Mathematical Fluid Mechanics, 10(2) (2007), 159175.
89. V.V. Chepyzhov, E.S. Titi, and M.I. Vishik, On the convergence of solutions of the Lerayα model to the trajectory attractor of the 3D NavierStokes system, Journal of Discrete and Continuous Dynamical Systems  Serie A, 17(3) (2007), 3352.
88. P. Constantin, B. Levant, E.S. Titi, Analytic study of shell models of turbulence, Physica D, 219(2) (2006), 120141.
87. E. Olson and E.S. Titi, Viscosity versus vorticity stretching: global wellposedness for a family of the NavierStokes alphalike models, Nonlinear Analysis Series A: Theory Methods, 66(11) (2007), 24272458.
86. A.A. Ilyin, E.M. Lunasin and E.S. Titi, A modifiedLerayα subgrid scale model of turbulence, Nonlinearity, 19 (2006), 879897.
85. C. Cao and E.S. Titi, Global wellposedness of the threedimensional viscous primitive equations of large scale ocean and atmosphere dynamics, Annals of Mathematics, 166(1) (2007), 245267.
84. A.A. Ilyin and E.S. Titi, Sharp estimates for the number of degrees of freedom for the dampeddriven 2D NavierStokes equations, Journal of Nonlinear Science, 16(3) (2006), 233253.
83. D. Holm and E.S. Titi, Computational models of Turbulence: The LANSα model and the role of global analysis, Feature Article: SIAM News, 38(7), September 2005.
82. J.D. Gibbon and E.S. Titi, Cluster formation in complex multiscale systems, Royal Society London, Proceedings, Series A, Mathematical, Physical & Engineering Sciences, 461 (2005), 30893097.
80. P. Constantin, E. S. Titi and J. Vukadinovic, Dissipativity and Gevrey regularity of a Smoluchowski equation, Indiana University Mathematics Journal, 54(4) (2005), 949970.
79. A. Ilyin, A. Miranville and E. S. Titi, Small viscosity sharp estimates for the global attractor of the 2D dampeddriven NavierStokes equations, Communications in Mathematical Sciences, 2(3) (2004), 403426.
78. A. Cheskidov, D. D. Holm, E. Olson and E. S. Titi, On a Lerayα Model of Turbulence, Royal Society London, Proceedings, Series A, Mathematical, Physical & Engineering Sciences, 461 (2005), 629649.
77. C. Cao, E.S. Titi and M. Ziane, A “horizontal” hyperdiffusion 3D thermocline planetary geostrophic model: wellposedness and long time behavior , Nonlinearity, 17 (2004), 17491776.
76. M. I. Vishik, E. S. Titi and V.V.Chepyzhov, Trajectory attractor approximations of the 3D NavierStokes system by a Lerayα model, Russian Mathematical Dokladi (Translated from Russian), 71 (2005), 9295.
75. P. Constantin, I. G. Kevrekidis and E. S. Titi , Asymptotic States of a Smoluchowski Equation , Archive of Rational Mechanics and Analysis, 174(3) (2004), 365384.
74. C. Cao, D. Holm and E.S. Titi, Traveling wave solutions for a class of onedimensional nonlinear shallow water wave models, Journal of Dynamics and Differential Equations, 16(1) (2004), 167178.
73. A.A. Ilyin and E.S. Titi, Attractors to the twodimensional NavierStokesα model: An alphadependence study, Journal of Dynamics and Differential Equations, 15 (2003), 751777.
72. H. Bellout, S. Benachour and E.S. Titi, Finitetime singularity versus global regularity for hyperviscous HamiltonJabcobilike equations, Nonlinearity, 16 (2003), 19671989.
71. P. Constantin, I. Kevrekidis and E.S. Titi, Remarks on a Smoluchowski equation, Discrete and Continuous Dynamical Systems, 11 (2004), 101112.
70. E. Olson and E.S. Titi, Determining modes for continuous data assimilation in 2D turbulence, Journal of Statistical Physics, 113 (2003), 799840.
69. 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, 41 (2003), 695714.
68. Y. Chung and E. S. Titi, Inertial manifolds and Gevrey regularity for the MooreGreitzer model of turbomachine engine, Journal of Nonlinear Science, 13 (2003), 126.
67. C. Cao and E. S. Titi, Global wellposedness and finite dimesional global attractor for a 3D planetary geostrophic viscous model, Communications in Pure and Applied Mathematics, 56 (2003), 198233.
66. P.G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop and E. S. Titi, A continum approach to discreteness, Physical Review E, 65 (2002), no. 4, 046613.
65. C. Cao, I. Kevrekidis and E.S. Titi, Numerical criterion for the stabilization of steady states of the NavierStokes equations, Indiana University Mathematics Journal, 50 (2001), 3796. (A special Issue in Honor of C. Foias and R. Temam).
64. C. Foias, D. Holm and E.S. Titi, The threedimensional viscous CamassaHolm equations and their relation to the NavierStokes equations and turbulence theory, Journal of Dynamics and Differential Equations, 14 (2002), 135.
63. C. Foias, I. Kukavica, M. Jolly and E.S. Titi, The Lorenz equations as a metaphore for the NavierStokes equations, Discrete and Continuous Dynamical Systems, 7 (2001), 403429.
62. C. Foias, D. Holm and E.S. Titi, The NavierStokesalpha model of fluid turbulence, Physica D, 152 (2001), 505519. (Special Issue in Honor of V. E. Zakharov on the Occasion of His 60th Birthday).
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), 5574.
60. J. Novo, E.S.Titi and S. Wynne, Efficient methods using high accuracy approximate inertial manifolds, Numerische Mathematik, 87 (2001), 523554.
59. B. GarcíaArchilla, J. Novo and E.S. Titi, Postprocessing Fourier spectral methods: the case of smooth solutions, Applied Numerical Mathematics, 43 (2002), 191209.
58. M. Oliver and E.S. Titi, Remark on the decay rate of higher order derivatives of solutions to the NavierStokes equations in Rⁿ, Journal of Functional Analysis, 172 (2000), 118.
57. M. Oliver and E.S. Titi, Gevrey regularity for the attractor of a partially dissipative model of Bénard convection in a porous medium, Journal of Differential Equations, 163 (2000), 292311.
56. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi, and S. Wynne, The CamassaHolm equations and turbulence, Physica D, 133 (1999), 4965.
55. S. Shvartsman, C. Theodoropoulos, R. RicoMartinez, 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), 177184.
54. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi and S. Wynne, A connection between CamassHolm equations and turbulent flows in channels and pipes, Physics of Fluids, 11 (1999), 23432353.
53. S. Chen, C. Foias, D. Holm, E. Olson, E.S. Titi and S. Wynne, The CamassaHolm equations as a closure model for turbulent channel flow, Physical Review Letters, 81 (1998), 53385341.
52. B. GarcíaArchilla and E.S. Titi, Postprocessing the Galerkin method: The finite elements case, SIAM, Journal of Numerical Analysis, 37 (2000), 470499.
51. C. Cao, M. Rammaha and E.S. Titi, The NavierStokes equations on the rotating 2D sphere: Gevrey regularity and asymptotic degrees of freedom, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 50 (1999), 341360.
50. H. Van Ly and E.S. Titi,
Global Gevrey
regularity for 3D Bénard convection in porous medium
with zero DarcyPrandtl number, Journal of
Nonlinear Science, 9 (1999), 333362.
43. A. Ferrari and E.S. Titi, Gevrey regularity for nonlinear analytic parabolic equations, Communications in Partial Differential Equations, 23 (1998), 116.
26. D. Jones and E.S. Titi, Upper bounds on the number of determining modes, nodes, and volume elements for the NavierStokes equations, Indiana University Mathematics Journal, 42 (1993), 875887. (A special issue in honor of Professor C. Foias on the occasion of his 60th Birthday).
25. J. Duan, P. Holmes and E.S. Titi, Regularity, approximation and asymptotic dynamics for a generalized GinzburgLandau equation, Nonlinearity, 6 (1993), 915933.
24. G. Ponce, R. Racke, T.C. Sideris and E.S. Titi, Global stability of large solutions to the 3D NavierStokes equations, Communications in Mathematical Physics, 159 (1993), 329341.
23. A. Doelman and E.S. Titi, Regularity of solutions and the convergence of the Galerkin method in the GinzburgLandau equation, Numerical Functional Analysis and Optimization, 14 (1993), 299321.
2. E.S. Titi, On a criterion for locating stable stationary solutions to the NavierStokes equations, Nonlinear Analysis, Theory, Methods and
Applications, 11 (1987), 10851102.