Search Results - "Foias, C."
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1
Spectral decomposability of rank-one perturbations of normal operators
Published in Journal of mathematical analysis and applications (15-03-2011)“…This paper is a continuation of the study by Foias, Jung, Ko, and Pearcy (2007) [4] and Foias, Jung, Ko, and Pearcy (2008) [5] of rank-one perturbations of…”
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2
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
Published in Physical review letters (01-12-1998)Get full text
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3
Some specific mathematical constraints on 2D turbulence
Published in Physica. D (01-12-2008)“…We derive upper and lower bounds for ensemble averages of energy, enstrophy, and palinstrophy for the 2D periodic Navier–Stokes equations. This is carried out…”
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4
The Camassa–Holm equations and turbulence
Published in Physica. D (10-09-1999)“…In this paper we will survey our results on the Camassa–Holm equations and their relation to turbulence as discussed in S. Chen, C. Foias, D.D. Holm, E. Olson,…”
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5
On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows
Published in Physica. D (15-04-2009)“…Rigorous upper and lower bounds are proved for the Taylor and the Kolmogorov wavenumbers for the three-dimensional space periodic Navier–Stokes equations…”
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6
2-D turbulence for forcing in all scales
Published in Journal de mathématiques pures et appliquées (01-07-2010)Get full text
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7
Some Spectral Quasisimilarity Invariants for Operators
Published in Indiana University mathematics journal (01-01-2010)“…Let T be a (bounded, linear) operator on a separable, infinite dimensional, complex Hilbert space, and let qℓre(T) denote the intersection of all the sets…”
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8
Hyperinvariant subspaces for some subnormal operators
Published in Transactions of the American Mathematical Society (01-06-2007)“…In this article we employ a technique originated by Enflo in 1998 and later modified by the authors to study the hyperinvariant subspace problem for subnormal…”
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9
Operators with Compact Imaginary Part
Published in Indiana University mathematics journal (01-01-2009)“…In this note we initiate a study of the old unsolved problem whether every T ∈ 𝓛(𝓗) of the form T = H + iK with K compact has a nontrivial invariant…”
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10
On Rank-one Perturbations of Normal Operators, II
Published in Indiana University mathematics journal (01-01-2008)“…As the title indicates, this note is a sequel to [2], in which we showed that a large class of rank-one perturbations of a diagonalizable normal operator have…”
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11
Kolmogorov theory via finite-time averages
Published in Physica. D (15-12-2005)“…Several relations from the Kolmogorov theory of fully-developed three-dimensional turbulence are rigorously established for finite-time averages over…”
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12
On the behavior of the Lorenz equation backward in time
Published in Journal of Differential Equations (15-01-2005)“…The sets of solutions to the Lorenz equations that exist backward in time and are bounded at an exponential rate determined by the eigenvalues of the linear…”
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13
Kraichnan turbulence via finite time averages
Published in Communications in mathematical physics (01-04-2005)Get full text
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14
On the non-homogeneous stationary Kuramoto–Sivashinsky equation
Published in Physica. D (01-06-2001)“…In this note we give some explicit estimates for the L ∞-norm of the periodic solutions of the time-independent non-homogeneous Kuramoto–Sivashinsky equation…”
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15
On the hyperinvariant subspace problem III
Published in Journal of functional analysis (01-05-2005)“…In two recent papers (Foias and Pearcy, J. Funct. Anal., in press, Hamid et al., Indiana Univ. Math. J., to appear), the authors reduced the hyperinvariant…”
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16
Finite Fractal Dimension and Hölder-Lipschitz Parametrization
Published in Indiana University mathematics journal (01-09-1996)“…In this paper we first extend the Hölder-Mañé Theorem [1] from a finite dimensional space to the general Hilbert space setting. Namely, if H is a real Hilbert…”
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17
On global attractors of the 3D Navier–Stokes equations
Published in Journal of Differential Equations (15-12-2006)“…In view of the possibility that the 3D Navier–Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying…”
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18
Relaxation of metric constrained interpolation and a new lifting theorem
Published in Integral equations and operator theory (01-09-2002)Get full text
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19
The Distance to Intertwining Operators, Contractive Liftings and a Related Optimality Result
Published in Integral equations and operator theory (01-09-2003)Get full text
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20
Exponential decay of the power spectrum of turbulence
Published in Journal of statistical physics (01-08-1995)Get full text
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