Selected research publications by George R Sell are cited below. An abstract, if available, can be obtained by clicking on abstract. Happy Reading!!
Also see 4. Control Theory, 7. Exponential Dichotomies and Exponential Trichotomies, 9. Linear Dynamical Systems, and 11. Skew Product Flows: Nonautonomous Dynamics.
4. L G Deysach and G R Sell (1965), On the existence of almost periodic motions. Michigan Math J, Vol 12, pages 87-95.
50. G R Sell (1975), Linear Differential Systems , Lecture Notes, University of Minnesota, 1975.
59. R J Sacker and G R Sell (1977), Lifting Properties in Skew Product Flows with Applications to Differential Equations , Memoir Amer Math Soc, No 190, 1977.
61. G R Sell (1977), Hyperbolic almost periodic solutions and toroidal limit sets. Proc Nat Acad Sci, USA, Vol 74, pages 3124-3125.
74. G R Sell (1981), A remark on an example of R A Johnson. Proc Amer Math Soc, Vol 82, pages 206-208.
99. K R Meyer and G R Sell (1989), Melnikov transformations, Bernoulli bundles and almost periodic perturbations. Trans Amer Math Soc, Vol 314, pages 63-105.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
104. V A Pliss and G R Sell (1991), Perturbation of attractors of differential equations, J. Differential Equations, Vol 92, pages 100-124.
124. V A Pliss and G R Sell (1998), Approximation dynamics and the stability of invariant sets, J Differential Equations, Vol 149, pages 1-51. abstract,
125. V A Pliss and G R Sell (1999), Robustness of exponential dichotomies in infinite dimensional systems, J Dynamics Differential Equations, Vol 11, pages 471-513.
127. V A Pliss and G R Sell (2001), Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations, J Differential Equations, Vol 169, pages 396-492.
V A Pliss and G R Sell (2001 exp) Stability of normally hyperbolic sets of smooth flows. Doklady Akademii Nauk, (to appear)
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
66. G R Sell (1979), Bifurcation of higher dimensional tori. Arch Rational Mech Anal, Vol 69, pages 199-230.
79. G R Sell (1981), Hopf-Landau bifurcation near strange attractors. in Chaos and Order in Nature, pages 84-91, Springer.
82. G R Sell (1983), Resonance and bifurcations in Hopf-Landau dynamical systems. in Turbulence and Nonlinear Dynamics, pages 305-313, Pitman.
99. K R Meyer and G R Sell (1989), Melnikov transformations, Bernoulli bundles and almost periodic perturbations. Trans Amer Math Soc, Vol 314, pages 63-105.
21. L Markus and G R Sell (1968), Capture and control in conservative dynamical systems. Arch Rational Mech Anal, Vol 31, pages 271-287.
48. L Markus and G R Sell (1974), Control in conservative dynamical systems. Recurrence and capture in aperiodic fields. J Differential Equations, Vol 16, pages 472-505.
118. J Mallet-Paret and G R Sell (1996), Systems of delay differential equations I: Floquet multipliers and discrete Lyapunov functions. J Differential Equations, Vol 125, pages 385-440.
119. J Mallet-Paret and G R Sell (1996), The Poincare-Bendixson theorem for monotone cyclic feedback systems with delay. J Differential Equations, Vol 125, pages 441-489. abstract.
93. C Foias, G R Sell, and R Temam (1988), Inertial manifolds for nonlinear evolutionary equations. J Differential Equations, Vol 73, pages 309-353.
94. C Foias, B Nicolaenko, G R Sell, and R Temam (1988), Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. J Math Pures Appl, Vol 67, pages 197-226.
95. C Foias, M S Jolly, I G Kevrekidis, G R Sell, and E S Titi (1988), On the computation of inertial manifolds. Physics Letters A, Vol 131, pages 433-436.
96. J Mallet-Paret and G R Sell (1988), Inertial manifolds for reaction diffusion equations in higher space dimensions. J Amer Math Soc, Vol 1, pages 805-866.
97. C Foias, G R Sell, and E S Titi (1989), Exponential tracking and approximation of inertial manifolds. J Dynamics Differential Equations, Vol 1, pages 199-244.
100. G R Sell (1989), Hausdorff and Lyapunov dimensions for gradient systems. Contemporary Math Series, Vol 99, pages 85-92.
103. E Fabes, M Luskin, and G R Sell (1991), Construction of inertial manifolds by elliptic regularization. J Differential Equations, Vol 89, pages 355-387.
106. G R Sell and Y You (1992), Inertial manifolds: The non-self adjoint case. J Differential Equations, Vol 96, pages 203-255.
107. G R Sell and M Taboada (1992), Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains. Nonlinear Anal, TMA, Vol 18, pages 671-687.
108. S-N Chow, K Lu, and G R Sell (1992), Smoothness of inertial manifolds. J Math Anal Appl, Vol 169, pages 283-312.
112. G R Sell (1993), An optimality condition for approximate inertial manifolds. in Turbulence in Fluid Flows: A Dynamical Systems Approach, IMA Volumes in Mathematics and its Applications, vol 55, 1993, pages 165-186, Springer Verlag.
114. J Mallet-Paret, G R Sell, and Z Shao (1993), Obstructions for the existence of normally hyperbolic inertial manifolds. Indiana J Math, Vol 42, pages 1027-1055.
126. A V Babin and G R Sell (2000), Attractors of nonautonomous parabolic equations and their symmetry properties. J Differential Equations, Vol 160, pages 1-50.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
45. R J Sacker and G R Sell (1974), Existence of dichotomies and invariant splittings for linear differential systems I, J Differential Equations, Vol 15, pages 429-458.
57. R J Sacker and G R Sell (1976), Existence of dichotomies and invariant splittings for linear differential systems II, J Differential Equations, Vol 22, pages 478-496.
58. R J Sacker and G R Sell (1976), Existence of dichotomies and invariant splittings for linear differential systems III, J Differential Equations, Vol 22, pages 497-522.
116. R J Sacker and G R Sell (1994), Dichotomies in linear evolutionary equations in Banach spaces, J Differential Equations, Vol 113, pages 17-67.
125. V A Pliss and G R Sell (1999), Robustness of exponential dichotomies in infinite dimensional systems, J Dynamics Differential Equations, Vol 11, pages 471-513.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
20. R K Miller and G R Sell (1967), Existence, uniqueness and continuity of solutions of integral equations. Ann Mat Pura Appl, Vol 80, pages 135-152.
27. R K Miller and G R Sell (1970), Volterra Integral Equations and Topological Dynamics, Memoir Amer Math Soc, No 102, 1970.
39. G R Sell (1973), A Tauberian condition and skew product flows with applications to integral equations. J Math Anal Appl, Vol 43, pages 388-396.
Also see 7. Exponential Dichotomies and Exponential Trichotomies.
50. G R Sell (1975), Linear Differential Systems, Lecture Notes, University of Minnesota, 1975.
64. R J Sacker and G R Sell (1978), A spectral theory for linear differential systems. J Differential Equations, Vol 27, pages 320-358.
71. R J Sacker and G R Sell (1980), Singular perturbations and conditional stability. J Math Anal Appl, Vol 76, pages 406-431.
73. R J Sacker and G R Sell (1980), The spectrum of an invariant manifold. J Differential Equations, Vol 38, pages 135-160.
78. R A Johnson and G R Sell (1981), Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems. J Differential Equations, Vol 41, pages 262-288.
83. G R Sell (1984), Obstacles to linearization (Russian). Differencial'nye Uravnenija, Vol 20, pages 446-450. English translation in Differential Equations, Vol 20, pages 341-345.
84. G R Sell (1984), Linearization and global dynamics. Proceedings of the International Congress of Mathematicians, Vol 2, pages 1283-1296, Polish Scientific Publishers, Warsaw.
85. G R Sell (1985), Smooth linearization near a fixed point. Amer J Math, Vol 107, pages 1035-1091.
88. R A Johnson, K J Palmer, and G R Sell (1987), Ergodic properties of linear dynamical systems. SIAM J Math Anal, Vol 18, pages 1-33.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York
109. G Raugel and G R Sell (1993), Navier-Stokes equations on thin 3D domains I: Global attractors and global regularity of solutions. J Amer Math Soc, Vol 6, pages 503-568.
110. G Raugel and G R Sell (1994), Navier-Stokes equations on thin 3D domains II: Global regularity of spatially periodic solutions. in Nonlinear Partial Differential Equations and their Applications, College de France Seminar, Vol XI, pages 205-247, Pitman Research Notes Math, Series 299, Longman.
111. G Raugel and G R Sell (1993), Navier-Stokes equations on thin 3D domains III: Global and local attractors. in Turbulence in Fluid Flows: A Dynamical Systems Approach, IMA Volumes in Mathematics and its Applications, vol 55, 1993, pages 137-163, Springer Verlag.
113. G R Sell, C Foias, and R Temam (editors) (1993), Turbulence in Fluid Flows: A Dynamical Systems Approach, IMA Volumes in Mathematics and its Applications, vol 55, 1993, Springer Verlag.
120. G R Sell (1996), Global attractors for the three dimensional Navier-Stokes equations, J. Dynamics and Differential Equations, Vol 8, pages 1-33. abstract,
127. V A Pliss and G R Sell (2001), Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations, J Differential Equations, Vol 169, pages 396-492.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
Also see 7. Exponential Dichotomies and Exponential Trichotomies.
6. G R Sell (1966), Periodic solutions and asymptotic stability. J Differential Equations, Vol 2, pages 143-157.
11. G R Sell (1967), Nonautonomous differential equations and topological dynamics I: The basic theory. Trans Amer Math Soc, Vol 127, pages 241-262.
12. G R Sell (1967), Nonautonomous differential equations and topological dynamics II: Limiting equations. Trans Amer Math Soc, Vol 127, pages 263-283.
17. G R Sell (1968), Invariant measures and Poisson stability. Topological Dynamics, pages 435-454, Benjamin, New York.
29. G R Sell (1971), Topological Dynamics and Differential Equations, Lecture Notes, Van Nostrand-Reinhold, 1971.
46. R J Sacker and G R Sell (1974), Finite extensions of minimal transformation groups. Trans Amer Math Soc, Vol 190, pages 325-334.
59. R J Sacker and G R Sell (1977), Lifting Properties in Skew Product Flows with Applications to Differential Equations , Memoir Amer Math Soc, No 190, 1977.
65. G R Sell (1978), The structure of a flow in the vicinity of an almost periodic motion. J Differential Equations, Vol 27, pages 359-393.
70. G R Sell and F Nakajima (1980), Almost periodic gross substitute dynamical systems. Tohoku Math J, Vol 32, pages 255-263.
123. G R Sell, W Shen, and Y F Yi (1998), Topological dynamics and differential equations. in Topological Dynamics and Applications; Contemporary Math Series, Vol 215, pages 279-297.
126. A V Babin and G R Sell (2000), Attractors of nonautonomous parabolic equations and their symmetry properties. J Differential Equations, Vol 160, pages 1-50.
129. G R Sell and Y You (2002), Dynamics of Evolutionary Equations, Vol 143, Applied Mathematical Sciences, Springer Verlag, New York.
5. G R Sell (1965), On the fundamental theory of ordinary differential equations. J Differential Equations, Vol 1, pages 370-392.
19. L E Baum and G R Sell (1968), Growth transformations for functions on manifolds. Pacific Math J, Vol 27, pages 211-227.
31. R J Sacker and G R Sell (1972), On the existence of periodic solutions on 2-manifolds. J Differential Equations, Vol 11, pages 449-463.
33. G R Sell (1972), A characterization of smooth $\alpha$-Lipschitz mappings on a Hilbert space. Atti Accad Naz Lincei Rend Cl Sci Fis Mat Natur, Vol 52, pages 410-416.
38. G R Sell (1973), Differential equations without uniqueness and classical topological dynamics. J Differential Equations, Vol 14, pages 42-56.
52. G R Sell (1975), Generic theories in the qualitative theory of ordinary differential equations. Boll Un Mat Ital, Vol 11, pages 182-188.
122. A Varghese and G R Sell (1997), A conservation principle and its effect on the formulation of the Na-Ca exchanger current in cardiac cells. J Theoretical Biology, Vol 189, pages 33-40.
Professor George R. Sell
School of Mathematics
University of Minnesota
206 Church Street SE
Minneapolis MN 55455
USA
Phone: 612-625-8381
Fax: 612-626-2017
email: sell@math.umn.edu
http://www.math.umn.edu/~sell
Date last modified: 26 June 2001.