Nicolaenko, Basil 1943
Overview
Works:  24 works in 93 publications in 3 languages and 1,213 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
Basil Nicolaenko
Nonlinear systems of partial differential equations in applied mathematics by Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
6 editions published in 1986 in English and held by 281 WorldCat member libraries worldwide
6 editions published in 1986 in English and held by 281 WorldCat member libraries worldwide
Nonlinear problems : present and future : proceedings of the first Los Alamos Conference on Nonlinear Problems, Los Alamos,
NM, U.S.A., March 26, 1981 by
Los Alamos Conference on Nonlinear Problems(
Book
)
15 editions published in 1982 in English and Dutch and held by 267 WorldCat member libraries worldwide
Nonlinear Problems: Present and Future
15 editions published in 1982 in English and Dutch and held by 267 WorldCat member libraries worldwide
Nonlinear Problems: Present and Future
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMSIMSSIAM joint
summer research conference held July 1925, 1987, with support from the National Science Foundation and the Air Force Office
of Scientific Research by AMSIMSSIAM Joint Summer Research Conference on the Connection Between Infinite and Finite Dimensional Dynamical Systems(
Book
)
15 editions published between 1987 and 1989 in English and Italian and held by 255 WorldCat member libraries worldwide
15 editions published between 1987 and 1989 in English and Italian and held by 255 WorldCat member libraries worldwide
Energy spectra of strongly stratified and rotating turbulence by Alex Mahalov(
Book
)
4 editions published in 1998 in English and held by 85 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 85 WorldCat member libraries worldwide
Spatiotemporal coherence and chaos in physical systems : Los Alamos Center for Nonlinear Studies workshop, January 2124,
1986 by Alamos Center for Nonlinear Studies Workshop(
Book
)
8 editions published in 1986 in English and held by 71 WorldCat member libraries worldwide
8 editions published in 1986 in English and held by 71 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
11 editions published between 1985 and 1986 in English and Undetermined and held by 18 WorldCat member libraries worldwide
11 editions published between 1985 and 1986 in English and Undetermined and held by 18 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
6 editions published in 1986 in English and Undetermined and held by 17 WorldCat member libraries worldwide
6 editions published in 1986 in English and Undetermined and held by 17 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
4 editions published in 1986 in English and held by 13 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 13 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics : [proceedings](
Book
)
2 editions published in 1986 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 5 WorldCat member libraries worldwide
Some global dynamical properties of the KuramotoSivashinsky equations: nonlinear stability and attractors by
Basil Nicolaenko(
Book
)
2 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
The Cauchy problem for the NavierStokes equations with spatially almost periodic initial data by
Yoshikazu Giga(
Book
)
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
Energydependent neutron transport theory in the fast domain by
Basil Nicolaenko(
)
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
SpatioTemporal Complexity and LargeScale Structures in Problems of Continuum Mechanics(
Book
)
2 editions published between 1992 and 1993 in English and held by 1 WorldCat member library worldwide
We have investigated some difficulties in estimating dynamics from timedelay embeddings of experimental data that can be characterized as lowdimensional. A new procedure is developed to reduce noise by exploiting the properties of saddle periodic orbits on the reconstructed attractor. Most of these methods involve the estimation of a derivative form the data or in some way require a least squares estimate of the location of some portion of the attractor. Our work addresses some of the problems inherent in the estimationof dynamics from data, regardless of the type of model used to approximate the dynamics. These difficulties may arise from the fractal structure of the attractor and errors in all theobservations. The problems persist regardless of the amount of available data and affect one's ability to determine an accurate local Model of the dynamics, even when an accurate model should be obtainable in principle. Many of these problems can be circumvented by using as much dynamical information as possible In the formulation of the statistical relationship between the observations. Our attempt to do this involves the use of recurrent orbits to derive an accurate linear model of the dynamics in thevicinity of saddle periodic orbits, onthe attractor. We have applied our method to two experimental data sets from TaylorCouette flows
2 editions published between 1992 and 1993 in English and held by 1 WorldCat member library worldwide
We have investigated some difficulties in estimating dynamics from timedelay embeddings of experimental data that can be characterized as lowdimensional. A new procedure is developed to reduce noise by exploiting the properties of saddle periodic orbits on the reconstructed attractor. Most of these methods involve the estimation of a derivative form the data or in some way require a least squares estimate of the location of some portion of the attractor. Our work addresses some of the problems inherent in the estimationof dynamics from data, regardless of the type of model used to approximate the dynamics. These difficulties may arise from the fractal structure of the attractor and errors in all theobservations. The problems persist regardless of the amount of available data and affect one's ability to determine an accurate local Model of the dynamics, even when an accurate model should be obtainable in principle. Many of these problems can be circumvented by using as much dynamical information as possible In the formulation of the statistical relationship between the observations. Our attempt to do this involves the use of recurrent orbits to derive an accurate linear model of the dynamics in thevicinity of saddle periodic orbits, onthe attractor. We have applied our method to two experimental data sets from TaylorCouette flows
Fundamental Theoretical and Numerical Issues of Turbulence in the Middle Atmosphere(
Book
)
2 editions published in 2002 in English and held by 1 WorldCat member library worldwide
This project falls within the realm of the USAF Airborne Laser (ABL) Program. One of the challenges of the ABL program is the development of laserbeam propagation codes. Such codes must account for beam propagation through an extended turbulent medium of the bulk of the troposphere and stratosphere. From the operational perspective, accurate modeling of the refractive index structure function for long nearly horizontal path under high scintillation conditions characteristic of the atmosphere is important. Direct numerical simulations have been performed to study the dynamics of an inhomogeneous stratified shear flow modeling an atmospheric jet in the tropopause in the ABL context. The basic state is characterized by a jet at the tropopause in which the density stratification is vertically nonuniform. Small to moderate background stratifications are selected, and simulations are conducted for a range of Reynolds numbers. Quasiequilibrium turbulent flowfields are obtained by longtime integration of governing equations. The structure of the mean flow and turbulence fields are calculated and interpreted using relevant length scales. The jet core is found to support sustained mechanical (active) turbulence, outside of which lay a region of patchy turbulence and nonlinear gravity wave activity characterized by spatially decaying velocity fluctuations and strong temperature fluctuations
2 editions published in 2002 in English and held by 1 WorldCat member library worldwide
This project falls within the realm of the USAF Airborne Laser (ABL) Program. One of the challenges of the ABL program is the development of laserbeam propagation codes. Such codes must account for beam propagation through an extended turbulent medium of the bulk of the troposphere and stratosphere. From the operational perspective, accurate modeling of the refractive index structure function for long nearly horizontal path under high scintillation conditions characteristic of the atmosphere is important. Direct numerical simulations have been performed to study the dynamics of an inhomogeneous stratified shear flow modeling an atmospheric jet in the tropopause in the ABL context. The basic state is characterized by a jet at the tropopause in which the density stratification is vertically nonuniform. Small to moderate background stratifications are selected, and simulations are conducted for a range of Reynolds numbers. Quasiequilibrium turbulent flowfields are obtained by longtime integration of governing equations. The structure of the mean flow and turbulence fields are calculated and interpreted using relevant length scales. The jet core is found to support sustained mechanical (active) turbulence, outside of which lay a region of patchy turbulence and nonlinear gravity wave activity characterized by spatially decaying velocity fluctuations and strong temperature fluctuations
IUTAM Symposium and NATO Advanced Research Workshop on Interpretation of Time Series from Nonlinear Mechanical Systems Held
in Coventry, England on 2630 August 1991. Conference Abstracts(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Contents: Coherent structures and turbulence; Prediction and noise I; Symmetry; Wavelets; Characterizing turbulence; Is it chaos or noise?; Prediction and noise II; Prediction and control I; A question of dimension; Prediction and control II
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Contents: Coherent structures and turbulence; Prediction and noise I; Symmetry; Wavelets; Characterizing turbulence; Is it chaos or noise?; Prediction and noise II; Prediction and control I; A question of dimension; Prediction and control II
Exponential attractors for dissipative evolution equations by Exponential attractors for dissipative evolution equations(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMSIMSSIAM joint
summer research conference held July 19  25, 1987(
Book
)
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
Fundamental Theoretical and Numerical Issues of Characterization of Phase Turbulence in Geophysical Flows(
Book
)
2 editions published in 1999 in English and held by 1 WorldCat member library worldwide
This project focuses on turbulence in stratified fluids, with applications to laserbeam propagation in the stratosphere and upper troposphere. Such middle atmospheric layers are characterized by the presence of high shear (e.g. jet stream and thermal winds) and stable density stratification (due to the thermal structure of the atmosphere). Asymptotic regimes of atmospheric flow dynamics are described for different Burger number limits. Rotating 3D EulerBoussinesq equations are analyzed in the asymptotic limit of strong stratification in the Burger number of order one situation as well as in the asymptotic regime of strong stratification and weak rotation. Substantial progress has been achieved in unraveling the physics and mathematics of strong nonlinear interactions involving threewave resonance between inertiogravity waves and vortical (potential vorticity) modes. Applications to optical (scintillation) turbulence of relevance to the Air Force Air Borne Laser (ABL) Program are investigated
2 editions published in 1999 in English and held by 1 WorldCat member library worldwide
This project focuses on turbulence in stratified fluids, with applications to laserbeam propagation in the stratosphere and upper troposphere. Such middle atmospheric layers are characterized by the presence of high shear (e.g. jet stream and thermal winds) and stable density stratification (due to the thermal structure of the atmosphere). Asymptotic regimes of atmospheric flow dynamics are described for different Burger number limits. Rotating 3D EulerBoussinesq equations are analyzed in the asymptotic limit of strong stratification in the Burger number of order one situation as well as in the asymptotic regime of strong stratification and weak rotation. Substantial progress has been achieved in unraveling the physics and mathematics of strong nonlinear interactions involving threewave resonance between inertiogravity waves and vortical (potential vorticity) modes. Applications to optical (scintillation) turbulence of relevance to the Air Force Air Borne Laser (ABL) Program are investigated
Nonlinear systems of differential equations in applied mathematics(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Development and Verification of Experimental Databases for Pancakes Structures in Geophysical Flows(
Book
)
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
This research program aims toward investigating optical turbulence in stably stratified fluids. Optical turbulence arises during the propagation of electromagnetic waves through a random medium enduring refractiveindex fluctuations, and is characterized by phase modulations (scattering) at wave fronts and diffractiongenerated wave intensity fluctuations along the beam path. Electromagnetic transmissions in the atmosphere, such as the propagation of laserbeams or microwaves, are severely distorted by optical turbulence. Distortion is most profound in regions with high density gradients (stratification) and turbulence, such as the lower stratosphere and upper troposphere. Although the dynamics of stratified turbulence has been extensively studied in relation to such middleatmospheric flows, very little attention has been paid to the properties of concomitant optical turbulence. On the contrary, optical turbulence in isotropic turbulent flows has been extensively studied but the practical utility of such studies to atmospheric electromagnetic transmissions is severely limited due to the strong anisotropy of stratified turbulence. This research addresses a number of key issues on optical turbulence in stratified turbulent flows by employing laboratory experiments and associated theoretical/numerical analysis. The proposed work is expected to contribute significantly to the USAF efforts to develop prediction schemes for laserbeam propagation in middle atmospheric layers via its Airborne Laser (ABL) Program
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
This research program aims toward investigating optical turbulence in stably stratified fluids. Optical turbulence arises during the propagation of electromagnetic waves through a random medium enduring refractiveindex fluctuations, and is characterized by phase modulations (scattering) at wave fronts and diffractiongenerated wave intensity fluctuations along the beam path. Electromagnetic transmissions in the atmosphere, such as the propagation of laserbeams or microwaves, are severely distorted by optical turbulence. Distortion is most profound in regions with high density gradients (stratification) and turbulence, such as the lower stratosphere and upper troposphere. Although the dynamics of stratified turbulence has been extensively studied in relation to such middleatmospheric flows, very little attention has been paid to the properties of concomitant optical turbulence. On the contrary, optical turbulence in isotropic turbulent flows has been extensively studied but the practical utility of such studies to atmospheric electromagnetic transmissions is severely limited due to the strong anisotropy of stratified turbulence. This research addresses a number of key issues on optical turbulence in stratified turbulent flows by employing laboratory experiments and associated theoretical/numerical analysis. The proposed work is expected to contribute significantly to the USAF efforts to develop prediction schemes for laserbeam propagation in middle atmospheric layers via its Airborne Laser (ABL) Program
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Related Identities
 American Mathematical Society Other Publisher
 Society for Industrial and Applied Mathematics Other Publisher
 Bishop, A. R. (Alan R.) Editor
 Campbell, David K. Author Editor
 Center for Nonlinear Studies (Los Alamos National Laboratory) Publisher
 Holm, Darryl D. Editor
 Hyman, James M. Editor
 Temam, Roger Other Editor
 Foiaş, Ciprian Other Editor
 Institute of Mathematical Statistics Other
Associated Subjects
Chaotic behavior in systems Differentiable dynamical systems Differential equations, Parabolic Differential equations, Partial Evolution equations, NonlinearNumerical solutions Fluid dynamics Fluid mechanics Mathematical physics Nonlinear theories Solid state physics Space and time Stratified flow TurbulenceModels