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Author ID: nicolaenko.basil Recent zbMATH articles by "Nicolaenko, Basil"
Published as: Nicolaenko, Basil; Nicolaenko, B.; Nicolaenko, Basile; Nicolaenko, Besil; Nikolaenko, V. P.
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Serials

10 Comptes Rendus de l’Académie des Sciences. Série I
9 Physica D
6 Theoretical and Computational Fluid Dynamics
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
4 Journal of Dynamics and Differential Equations
3 Nonlinearity
3 European Journal of Mechanics. B. Fluids
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Indiana University Mathematics Journal
2 Journal of Differential Equations
2 Asymptotic Analysis
2 Communications in Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 Zapiski Nauchnykh Seminarov POMI
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Journal of Fluid Mechanics
1 Russian Mathematical Surveys
1 Transport Theory and Statistical Physics
1 Mathematika
1 Proceedings of the London Mathematical Society. Third Series
1 Applied Mathematics Letters
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Russian Journal of Mathematical Physics
1 Séminaire Équations aux Dérivées Partielles
1 Methods and Applications of Analysis
1 Journal of Mathematical Fluid Mechanics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Mathematical Sciences
1 Journal of Mathematics and Mechanics
1 Journal de Mécanique
1 Applied Mathematical Sciences
1 Contemporary Mathematics
1 North-Holland Mathematics Studies
1 Kinetic and Related Models

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,151 times in 1,414 Documents Cited by Year
Exponential attractors for dissipative evolution equations. Zbl 0842.58056
Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R.
227
1994
Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002
Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.
198
1989
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
136
1985
Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
112
1985
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
96
1988
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
93
1986
Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028
Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R.
91
1988
Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019
Nicolaenko, B.; Scheurer, B.; Temam, R.
85
1989
The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088
Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil
81
1986
Back in the saddle again: A computer assisted study of the Kuramoto- Sivashinsky equation. Zbl 0722.35011
Kevrekidis, Ioannis G.; Nicolaenko, Basil; Scovel, James C.
80
1990
Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
77
1999
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
62
1997
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
54
1986
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
51
2001
Shock profile solutions of the Boltzmann equation. Zbl 0544.76063
Caflisch, Russel E.; Nicolaenko, Basil
50
1982
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
46
1989
Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096
Babin, A.; Mahalov, A.; Nicolaenko, B.
45
1996
Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061
Babin, Anatoli; Nicolaenko, Basil
38
1995
Exponential attractors in Banach spaces. Zbl 1040.37069
Dung, L.; Nicolaenko, B.
32
2001
Finite dimensional exponential attractors for semilinear wave equations with damping. Zbl 0796.35143
Eden, A.; Milani, A. J.; Nicolaenko, B.
24
1992
Remarks on the Kuramoto-Sivashinsky equation. Zbl 0576.35058
Nicolaenko, Basil; Scheurer, Bruno
20
1984
Symmetries and dynamics for 2-D Navier-Stokes flow. Zbl 0899.76113
Armbruster, Dieter; Nicolaenko, B.; Smaoui, N.; Chossat, Pascal
20
1996
Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017
Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger
19
1990
On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y.
19
1997
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
2000
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
1999
On nonlinear eigenvalue problems which extend into free boundaries problems. Zbl 0439.35058
Brauner, C. M.; Nicolaenko, B.
17
1980
On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
15
2007
Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016
Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B.
15
1993
Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099
Makhalov, A. S.; Nikolaenko, V. P.
14
2003
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
13
1995
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
13
1998
\(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047
Mahalov, A.; Nicolaenko, B.; Shilkin, T.
12
2006
Nonlinear eigenvalue problems in elliptic variational inequalities: a local study. Zbl 0569.49003
Conrad, Francis; Brauner, Claude-Michel; Issard-Roch, Françoise; Nicolaenko, Basil
12
1985
Low-dimensional behavior of the pattern formation Cahn-Hilliard equation. Zbl 0581.35041
Nicolaenko, Basil; Scheurer, Bruno
11
1985
Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048
Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, H. J. S.
10
2003
Phase-space analysis of bursting behavior in Kolmogorov flow. Zbl 1194.76085
Armbruster, Dieter; Heiland, Randy; Kostelich, Eric J.; Nicolaenko, Basil
10
1992
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
9
2000
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
9
2007
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
9
2001
Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073
Clavin, P.; Fife, P.; Nicolaenko, B.
8
1987
Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063
Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger
8
1985
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
8
1997
On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
8
2009
Sur une classe de problèmes elliptiques non linéaires. Zbl 0371.35015
Brauner, Claude-Michel; Nicolaenko, Basil
7
1978
Traveling wave solutions to reaction diffusion systems modelling combustion. Zbl 0573.35042
Berestycki, Henri; Nicolaenko, Besil; Scheurer, Bruno
7
1983
Exponential attractors and their relevance to fluid dynamics systems. Zbl 0790.34053
Eden, A.; Foias, C.; Nicolaenko, B.; She, Z. S.
7
1993
Quelques propriétés des attracteurs pour l’équation de Kuramoto- Sivashinsky. (Some properties of the attractors for the Kuramoto- Sivashinsky equation). Zbl 0555.58017
Nicolaenko, Basil; Scheurer, Bruno; Temam, Roger
6
1984
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
6
1996
Symmetry-breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows. Zbl 0727.76067
Nicolaenko, B.; She, Z.-S.
5
1991
Attractors for the Kuramoto-Sivashinsky equations. Zbl 0596.58024
Nicolaenko, B.; Scheurer, B.; Temam, R.
5
1986
Weak shock and bifurcating solutions of the non-linear Boltzmann equation. Zbl 0327.76036
Nicolaenko, Basil; Thurber, James K.
5
1975
Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
5
2004
Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
4
1987
Nouveaux résultats sur les variétés inertielles pour les équations différentielles dissipatives. (New results on the inertial manifolds for dissipative differential equations). Zbl 0591.35064
Constantin, Peter; Foiaş, Ciprian; Nicolaenko, Basil; Temam, Roger
4
1986
Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310
Babin, A.; Mahalov, A.; Nicolaenko, B.
4
2002
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
4
1997
Symmetry-breaking homoclinic chaos in Kolmogorov flows. Zbl 0751.76038
Nicolaenko, Basil; She, Zhen-Su
4
1990
Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0810.34056
Eden, A.; Foias, C.; Nicolaenko, B.
4
1994
Existence and continuity of exponential attractors of the three dimensional Navier-Stokes-alpha equations for uniformly rotating geophysical fluids. Zbl 1116.35027
Kim, Bong-Sik; Nicolaenko, Basil
3
2006
A new homographic approximation to multiphase Stefan problems. Zbl 0536.65090
Brauner, C. M.; Frémond, M.; Nicolaenko, B.
3
1983
Dispersion laws for plane wave propagation and the Boltzmann equation. Zbl 0238.35075
Nicolaenko, B.
3
1972
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
3
2008
Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0431.35071
Brauner, Claude-Michel; Nicolaenko, Basil
3
1979
Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479
Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L.
3
2007
Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079
Doering, C. R.; Gibbon, J. D.; Holm, D. D.; Nicolaenko, B.
3
1989
Analyzing bifurcations in the Kolmogorov flow equations. Zbl 0808.35098
Armbruster, D.; Nicolaenko, B.; Smaoui, N.; Chossat, P.
3
1994
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
2
1987
Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
2
1985
Some mathematical aspects of flame chaos and flame multiplicity. Zbl 0616.35078
Nicolaenko, Basil
2
1986
Étude asymptotique d’une équation de Sivashinsky pour des turbulences bidimensionnelles de l’écoulement de Kolmogorov. (Asymptotic study of an equation of G. I. Sivashinsky for two dimensional turbulences of the Kolmogorov flow). Zbl 0628.35014
Foias, Ciprian; Nicolaenko, Basil; Temam, Roger
2
1986
An integral identity due to Ramanujan which occurs in neutron transport theory. Zbl 0186.37703
Dorning, J. J.; Nicolaenko, B.; Thurber, J. K.
2
1969
Singular perturbation, multiple solutions and hysteresis in a nonlinear problem. Zbl 0373.34007
Brauner, C. M.; Nicolaenko, B.
2
1977
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
2
1999
Asymptotic flame theory with complex chemistry. Zbl 0515.92030
Fife, Paul C.; Nicolaenko, Basil
2
1983
Sur quelques problèmes asymptotiques avec applications à la combustion. Zbl 0526.34044
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
2
1983
Perturbation singuliere, solutions multiples et hysteresis dans un problème de biochimie. Zbl 0347.35014
Brauner, Claude-Michel; Nicolaenko, Basil
2
1976
Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395
Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai
2
2002
Exponential attractors for non-dissipative systems modeling convection in porous media. Zbl 0959.35026
Fabrie, Pierre; Nicolaenko, Basil
2
1996
Shock wave solutions of the Boltzmann equation as a nonlinear bifurcation problem from the essential spectrum. Zbl 0377.76063
Nicolaenko, Basil
2
1975
Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0445.35042
Brauner, Claude-Michel; Nicolaenko, Basil
2
1978
Free boundary value problems as singular limits of nonlinear eigenvalue problems. Zbl 0466.35067
Brauner, C. M.; Nicolaenko, B.
2
1980
Singular perturbations and free boundary value problems. Zbl 0469.35016
Brauner, C. M.; Nicolaenko, B.
2
1980
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2
2008
The connection between infinite dimensional and finite dimensional dynamical systems. Proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987 at the University of Colorado, Boulder, USA with support from the National Science Foundation and the Air Force Office of Scientific Research. Zbl 0681.00010
2
1989
Local exponential attractors for models of phase change for compressible gas dynamics. Zbl 0765.76073
Eden, A.; Milani, A.; Nicolaenko, B.
2
1993
Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051
Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil
2
2009
Nonlinear elliptic variational inequalities with multiple solutions. Zbl 0594.35044
Conrad, F.; Issard-Roch, F.; Brauner, C. M.; Nicolaenko, B.
1
1985
Spatio-temporal coherence and chaos in physical systems. Los Alamos Center for Nonlinear Studies Workshop, January 21-24, 1986. Zbl 0604.00013
1
1986
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
1
2005
Further solutions of the Falkner-Skan equation for \(\beta=-1\) and \(\gamma=0\). Zbl 0495.76044
Brauner, C. M.; Laine, Cl.; Nicolaenko, B.
1
1982
Shock waves and the Boltzmann equation. Zbl 0523.76064
Caflisch, Russel; Nicolaenko, Basil
1
1983
Transition layers, angular limiting solutions and internal layers in singularly perturbed nonlinear eigenvalue problems. Zbl 0545.35069
Brauner, Claude M.; Nicolaenko, Basil
1
1983
Regularization and bounded penalization in free boundary problems. Zbl 0488.35076
Brauner, C. M.; Nicolaenko, B.
1
1982
A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071
Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil
1
1999
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1
1996
Inertial manifolds for nonlinear viscoelasticity equations. Zbl 0914.35020
Nicolaenko, Basil; Qian, Weijie
1
1998
A spectral domain decomposition method and its application to the simulation of shear-stratified turbulence. Zbl 1052.76050
Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, J.
1
2001
Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0412.47037
Pimbley, George H. jun.; Nicolaenko, Basil
1
1978
Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0426.47035
Pimbley, George H. jun.; Nicolaenko, Basil
1
1978
Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032
Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil
1
2018
On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
8
2009
Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051
Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil
2
2009
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
3
2008
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2
2008
On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
15
2007
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
9
2007
Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479
Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L.
3
2007
\(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047
Mahalov, A.; Nicolaenko, B.; Shilkin, T.
12
2006
Existence and continuity of exponential attractors of the three dimensional Navier-Stokes-alpha equations for uniformly rotating geophysical fluids. Zbl 1116.35027
Kim, Bong-Sik; Nicolaenko, Basil
3
2006
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
1
2005
Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
5
2004
Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099
Makhalov, A. S.; Nikolaenko, V. P.
14
2003
Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048
Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, H. J. S.
10
2003
Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310
Babin, A.; Mahalov, A.; Nicolaenko, B.
4
2002
Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395
Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai
2
2002
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
51
2001
Exponential attractors in Banach spaces. Zbl 1040.37069
Dung, L.; Nicolaenko, B.
32
2001
Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030
Babin, A.; Mahalov, A.; Nicolaenko, B.
9
2001
A spectral domain decomposition method and its application to the simulation of shear-stratified turbulence. Zbl 1052.76050
Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, J.
1
2001
Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
2000
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
9
2000
Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
77
1999
On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055
Babin, A.; Mahalov, A.; Nicolaenko, B.
18
1999
On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010
Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B.
2
1999
A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071
Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil
1
1999
On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.
13
1998
Inertial manifolds for nonlinear viscoelasticity equations. Zbl 0914.35020
Nicolaenko, Basil; Qian, Weijie
1
1998
Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109
Babin, A.; Mahalov, A.; Nicolaenko, B.
62
1997
On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092
Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y.
19
1997
Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007
Babin, A.; Mahalov, A.; Nicolaenko, B.
8
1997
Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014
Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil
4
1997
Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096
Babin, A.; Mahalov, A.; Nicolaenko, B.
45
1996
Symmetries and dynamics for 2-D Navier-Stokes flow. Zbl 0899.76113
Armbruster, Dieter; Nicolaenko, B.; Smaoui, N.; Chossat, Pascal
20
1996
Resonances and regularity for Boussinesq equations. Zbl 0955.76521
Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil
6
1996
Exponential attractors for non-dissipative systems modeling convection in porous media. Zbl 0959.35026
Fabrie, Pierre; Nicolaenko, Basil
2
1996
Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012
Babin, A.; Mahalov, A.; Nicolaenko, B.
1
1996
Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061
Babin, Anatoli; Nicolaenko, Basil
38
1995
Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097
Babin, A.; Mahalov, A.; Nicolaenko, B.
13
1995
Exponential attractors for dissipative evolution equations. Zbl 0842.58056
Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R.
227
1994
Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0810.34056
Eden, A.; Foias, C.; Nicolaenko, B.
4
1994
Analyzing bifurcations in the Kolmogorov flow equations. Zbl 0808.35098
Armbruster, D.; Nicolaenko, B.; Smaoui, N.; Chossat, P.
3
1994
Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016
Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B.
15
1993
Exponential attractors and their relevance to fluid dynamics systems. Zbl 0790.34053
Eden, A.; Foias, C.; Nicolaenko, B.; She, Z. S.
7
1993
Local exponential attractors for models of phase change for compressible gas dynamics. Zbl 0765.76073
Eden, A.; Milani, A.; Nicolaenko, B.
2
1993
Exponential attractor for natural convection in porous medium. (Attracteurs exponentiels pour un modèle de convection naturelle en milieu poreux.) Zbl 0778.76088
Fabrie, Pierre; Nicolaenko, Basil
1
1993
Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0789.58051
Eden, Alp; Foias, Ciprian; Nicolaenko, Basil
1
1993
Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows. Zbl 0788.76047
Nicolaenko, Basil; She, Zhen-Su
1
1993
Finite dimensional exponential attractors for semilinear wave equations with damping. Zbl 0796.35143
Eden, A.; Milani, A. J.; Nicolaenko, B.
24
1992
Phase-space analysis of bursting behavior in Kolmogorov flow. Zbl 1194.76085
Armbruster, Dieter; Heiland, Randy; Kostelich, Eric J.; Nicolaenko, Basil
10
1992
Symmetry-breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows. Zbl 0727.76067
Nicolaenko, B.; She, Z.-S.
5
1991
Back in the saddle again: A computer assisted study of the Kuramoto- Sivashinsky equation. Zbl 0722.35011
Kevrekidis, Ioannis G.; Nicolaenko, Basil; Scovel, James C.
80
1990
Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017
Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger
19
1990
Symmetry-breaking homoclinic chaos in Kolmogorov flows. Zbl 0751.76038
Nicolaenko, Basil; She, Zhen-Su
4
1990
Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002
Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.
198
1989
Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019
Nicolaenko, B.; Scheurer, B.; Temam, R.
85
1989
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
46
1989
Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079
Doering, C. R.; Gibbon, J. D.; Holm, D. D.; Nicolaenko, B.
3
1989
The connection between infinite dimensional and finite dimensional dynamical systems. Proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987 at the University of Colorado, Boulder, USA with support from the National Science Foundation and the Air Force Office of Scientific Research. Zbl 0681.00010
2
1989
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
96
1988
Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028
Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R.
91
1988
Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073
Clavin, P.; Fife, P.; Nicolaenko, B.
8
1987
Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
4
1987
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
2
1987
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
93
1986
The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088
Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil
81
1986
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
54
1986
Attractors for the Kuramoto-Sivashinsky equations. Zbl 0596.58024
Nicolaenko, B.; Scheurer, B.; Temam, R.
5
1986
Nouveaux résultats sur les variétés inertielles pour les équations différentielles dissipatives. (New results on the inertial manifolds for dissipative differential equations). Zbl 0591.35064
Constantin, Peter; Foiaş, Ciprian; Nicolaenko, Basil; Temam, Roger
4
1986
Some mathematical aspects of flame chaos and flame multiplicity. Zbl 0616.35078
Nicolaenko, Basil
2
1986
Étude asymptotique d’une équation de Sivashinsky pour des turbulences bidimensionnelles de l’écoulement de Kolmogorov. (Asymptotic study of an equation of G. I. Sivashinsky for two dimensional turbulences of the Kolmogorov flow). Zbl 0628.35014
Foias, Ciprian; Nicolaenko, Basil; Temam, Roger
2
1986
Spatio-temporal coherence and chaos in physical systems. Los Alamos Center for Nonlinear Studies Workshop, January 21-24, 1986. Zbl 0604.00013
1
1986
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
136
1985
Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
112
1985
Nonlinear eigenvalue problems in elliptic variational inequalities: a local study. Zbl 0569.49003
Conrad, Francis; Brauner, Claude-Michel; Issard-Roch, Françoise; Nicolaenko, Basil
12
1985
Low-dimensional behavior of the pattern formation Cahn-Hilliard equation. Zbl 0581.35041
Nicolaenko, Basil; Scheurer, Bruno
11
1985
Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063
Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger
8
1985
Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
2
1985
Nonlinear elliptic variational inequalities with multiple solutions. Zbl 0594.35044
Conrad, F.; Issard-Roch, F.; Brauner, C. M.; Nicolaenko, B.
1
1985
Remarks on the Kuramoto-Sivashinsky equation. Zbl 0576.35058
Nicolaenko, Basil; Scheurer, Bruno
20
1984
Quelques propriétés des attracteurs pour l’équation de Kuramoto- Sivashinsky. (Some properties of the attractors for the Kuramoto- Sivashinsky equation). Zbl 0555.58017
Nicolaenko, Basil; Scheurer, Bruno; Temam, Roger
6
1984
Traveling wave solutions to reaction diffusion systems modelling combustion. Zbl 0573.35042
Berestycki, Henri; Nicolaenko, Besil; Scheurer, Bruno
7
1983
A new homographic approximation to multiphase Stefan problems. Zbl 0536.65090
Brauner, C. M.; Frémond, M.; Nicolaenko, B.
3
1983
Asymptotic flame theory with complex chemistry. Zbl 0515.92030
Fife, Paul C.; Nicolaenko, Basil
2
1983
Sur quelques problèmes asymptotiques avec applications à la combustion. Zbl 0526.34044
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
2
1983
Shock waves and the Boltzmann equation. Zbl 0523.76064
Caflisch, Russel; Nicolaenko, Basil
1
1983
Transition layers, angular limiting solutions and internal layers in singularly perturbed nonlinear eigenvalue problems. Zbl 0545.35069
Brauner, Claude M.; Nicolaenko, Basil
1
1983
Shock profile solutions of the Boltzmann equation. Zbl 0544.76063
Caflisch, Russel E.; Nicolaenko, Basil
50
1982
Further solutions of the Falkner-Skan equation for \(\beta=-1\) and \(\gamma=0\). Zbl 0495.76044
Brauner, C. M.; Laine, Cl.; Nicolaenko, B.
1
1982
Regularization and bounded penalization in free boundary problems. Zbl 0488.35076
Brauner, C. M.; Nicolaenko, B.
1
1982
On nonlinear eigenvalue problems which extend into free boundaries problems. Zbl 0439.35058
Brauner, C. M.; Nicolaenko, B.
17
1980
Free boundary value problems as singular limits of nonlinear eigenvalue problems. Zbl 0466.35067
Brauner, C. M.; Nicolaenko, B.
2
1980
Singular perturbations and free boundary value problems. Zbl 0469.35016
Brauner, C. M.; Nicolaenko, B.
2
1980
Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0431.35071
Brauner, Claude-Michel; Nicolaenko, Basil
3
1979
Sur une classe de problèmes elliptiques non linéaires. Zbl 0371.35015
Brauner, Claude-Michel; Nicolaenko, Basil
7
1978
Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0445.35042
Brauner, Claude-Michel; Nicolaenko, Basil
2
1978
Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0412.47037
Pimbley, George H. jun.; Nicolaenko, Basil
1
1978
Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0426.47035
Pimbley, George H. jun.; Nicolaenko, Basil
1
1978
Singular perturbation, multiple solutions and hysteresis in a nonlinear problem. Zbl 0373.34007
Brauner, C. M.; Nicolaenko, B.
2
1977
Perturbation singuliere, solutions multiples et hysteresis dans un problème de biochimie. Zbl 0347.35014
Brauner, Claude-Michel; Nicolaenko, Basil
2
1976
...and 4 more Documents
all top 5

Cited by 1,605 Authors

39 Titi, Edriss Saleh
33 Miranville, Alain M.
21 Nicolaenko, Basil
21 Temam, Roger Meyer
20 Foiaş, Ciprian Ilie
19 Robinson, James Cooper
16 Mahalov, Alex
16 Zelik, Sergey V.
14 Chueshov, Igor’ Dmitrievich
13 Kalantarov, Varga K.
12 Bonfoh, Ahmed S.
12 Gallagher, Isabelle
12 Takata, Shigeru
11 Aoki, Kazuo
11 Guo, Boling
11 Jolly, Michael S.
11 Kevrekidis, Ioannis George
11 Kukavica, Igor
11 Sone, Yoshio
11 Takada, Ryo
10 Duan, Jinqiao
10 Grasselli, Maurizio
10 Hoang, Luan Thach
9 Berestycki, Henri
9 Hamel, François
9 Langa, Jose’ Antonio
9 Pata, Vittorino
9 Sell, George Roger
9 Smaoui, Nejib
8 Avrin, Joel D.
8 Brauner, Claude-Michel
8 Caraballo Garrido, Tomás
8 Eden, Alp
8 Feireisl, Eduard
8 Fiedler, Bernold
8 Gao, Hongjun
8 Golse, François
8 Yoneda, Tsuyoshi
8 Yu, Hongjun
7 Constantin, Peter
7 Duan, Renjun
7 Efendiev, Messoud
7 Lasiecka, Irena
7 Lu, Shujuan
7 Marion, Martine
7 Papageorgiou, Demetrios T.
7 Pražák, Dalibor
7 Rezunenko, Oleksandr V”yacheslavovych
7 Rocha, Carlos
7 Yang, Tong
7 Zhou, Shengfan
6 Charve, Frédéric
6 Cherfils, Laurence
6 Dai, Zhengde
6 Debussche, Arnaud
6 Gatti, Stefania
6 Hieber, Matthias
6 Novotný, Antonín
6 Perthame, Benoît
6 Roquejoffre, Jean-Michel
6 Smyrlis, Yiorgos-Sokratis
6 You, Bo
6 Yu, Shih-Hsien
6 Zhong, Chengkui
5 Abdallah, Ahmed Y.
5 Akrivis, Georgios D.
5 Babin, A.
5 Babin, Anatoli V.
5 Bardos, Claude Williams
5 Bates, Peter W.
5 Bernhoff, Niclas
5 Chemin, Jean-Yves
5 Colucci, Renato
5 Coville, Jerome
5 Fakih, Hussein
5 Fanelli, Francesco
5 Fang, Tao
5 Ferreira, Lucas Catão de Freitas
5 Iwabuchi, Tsukasa
5 Jiang, Ning
5 Jones, Don A.
5 Kloeden, Peter Eris
5 Le, Anh Minh
5 Li, Fang
5 Lorenzi, Luca
5 Masmoudi, Nader
5 Mazzucato, Anna L.
5 Monneau, Régis
5 Nguyen Thieu Huy
5 Novick-Cohen, Amy
5 Ryzhik, Lenya
5 Saint-Raymond, Laure
5 Shen, Wenxian
5 Sun, Ji Tao
5 Tian, Qianzhu
5 Wu, Gang
5 Xin, Zhouping
5 You, Yuncheng
4 Alfaro, Matthieu
4 Bu, Charles
...and 1,505 more Authors
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Cited in 256 Serials

92 Journal of Differential Equations
91 Physica D
65 Journal of Mathematical Analysis and Applications
40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Journal of Dynamics and Differential Equations
34 Archive for Rational Mechanics and Analysis
32 Journal of Fluid Mechanics
31 Nonlinear Analysis. Theory, Methods & Applications
30 Journal of Statistical Physics
23 Applied Mathematics Letters
22 Communications in Partial Differential Equations
21 Journal of Computational Physics
21 Physics of Fluids
21 Discrete and Continuous Dynamical Systems
18 Journal of Nonlinear Science
18 Nonlinear Analysis. Real World Applications
18 Discrete and Continuous Dynamical Systems. Series B
17 Communications in Mathematical Physics
16 Journal of Evolution Equations
15 Communications on Pure and Applied Mathematics
14 Applicable Analysis
14 Journal of Mathematical Physics
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Chaos
14 Communications on Pure and Applied Analysis
13 Computers & Mathematics with Applications
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Journal of Mathematical Fluid Mechanics
12 Mathematical Methods in the Applied Sciences
12 Nonlinearity
12 Applied Mathematics and Computation
12 Journal of Computational and Applied Mathematics
12 Proceedings of the American Mathematical Society
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Transactions of the American Mathematical Society
10 Applied Mathematics and Mechanics. (English Edition)
10 SIAM Journal on Mathematical Analysis
9 Transport Theory and Statistical Physics
9 Mathematics of Computation
9 Numerical Functional Analysis and Optimization
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Applied Mathematics and Optimization
8 Acta Applicandae Mathematicae
8 Acta Mathematica Sinica. English Series
7 Chaos, Solitons and Fractals
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Applied Numerical Mathematics
7 Acta Mathematicae Applicatae Sinica. English Series
7 Journal of Mathematical Sciences (New York)
7 Communications in Nonlinear Science and Numerical Simulation
6 Physics Letters. A
6 Physics of Fluids, A
6 Theoretical and Computational Fluid Dynamics
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Journal of Scientific Computing
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 SIAM Journal on Applied Dynamical Systems
5 Journal of Mathematical Biology
5 Mathematical Notes
5 Advances in Mathematics
5 Journal of Functional Analysis
5 Chinese Annals of Mathematics. Series B
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Abstract and Applied Analysis
5 European Journal of Mechanics. B. Fluids
5 Journal of Applied Mathematics
5 Kinetic and Related Models
5 Journal of Applied Analysis and Computation
4 Theoretical and Mathematical Physics
4 Numerische Mathematik
4 Studies in Applied Mathematics
4 Asymptotic Analysis
4 European Journal of Applied Mathematics
4 Applications of Mathematics
4 Applied Mathematical Modelling
4 International Journal of Computer Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Calculus of Variations and Partial Differential Equations
4 Discrete Dynamics in Nature and Society
4 Central European Journal of Mathematics
4 Mathematical Modelling of Natural Phenomena
3 Bulletin of the Australian Mathematical Society
3 Calcolo
3 Journal of the Mathematical Society of Japan
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Quarterly of Applied Mathematics
3 Stochastic Analysis and Applications
3 Numerical Methods for Partial Differential Equations
3 Japan Journal of Industrial and Applied Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Applied Mathematics. Series B (English Edition)
3 Applied and Computational Harmonic Analysis
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Shanghai University
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Interfaces and Free Boundaries
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
...and 156 more Serials
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Cited in 44 Fields

1,052 Partial differential equations (35-XX)
490 Fluid mechanics (76-XX)
330 Dynamical systems and ergodic theory (37-XX)
145 Numerical analysis (65-XX)
133 Ordinary differential equations (34-XX)
94 Statistical mechanics, structure of matter (82-XX)
90 Classical thermodynamics, heat transfer (80-XX)
59 Biology and other natural sciences (92-XX)
48 Geophysics (86-XX)
47 Probability theory and stochastic processes (60-XX)
40 Operator theory (47-XX)
36 Mechanics of deformable solids (74-XX)
33 Systems theory; control (93-XX)
27 Integral equations (45-XX)
23 Global analysis, analysis on manifolds (58-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
12 Measure and integration (28-XX)
11 Mechanics of particles and systems (70-XX)
9 General topology (54-XX)
9 Quantum theory (81-XX)
7 Functional analysis (46-XX)
7 Statistics (62-XX)
7 Optics, electromagnetic theory (78-XX)
6 Computer science (68-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
5 Difference and functional equations (39-XX)
5 Manifolds and cell complexes (57-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Approximations and expansions (41-XX)
4 Astronomy and astrophysics (85-XX)
4 Operations research, mathematical programming (90-XX)
3 Special functions (33-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic geometry (14-XX)
2 Differential geometry (53-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
1 Relativity and gravitational theory (83-XX)

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