Edit Profile (opens in new tab) Nicolaenko, Basil Compute Distance To: Compute Author ID: nicolaenko.basil Published as: Nicolaenko, Basil; Nicolaenko, B.; Nicolaenko, Basile; Nicolaenko, Besil; Nikolaenko, V. P. more...less Documents Indexed: 116 Publications since 1969, including 2 Books 5 Contributions as Editor Co-Authors: 58 Co-Authors with 114 Joint Publications 2,321 Co-Co-Authors all top 5 Co-Authors 6 single-authored 33 Mahalov, Alex 18 Brauner, Claude-Michel 16 Foiaș, Ciprian 13 Babin, A. 13 Temam, Roger Meyer 9 Scheurer, Bruno 8 Eden, Alp 7 Bardos, Claude Williams 6 Babin, Anatoli V. 6 Caflisch, Russel E. 4 Fife, Paul C. 4 Golse, François 4 Hyman, James M. 4 She, Zhensu 4 Tse, Kwan-Leung 3 Armbruster, Dieter 3 Berestycki, Henri 3 Constantin, Peter 3 Holm, Darryl Dallas 2 Bishop, Alan Reginald 2 Chossat, Pascal 2 Conrad, Francis 2 Doering, Charles Rogers 2 Fabrie, Pierre 2 Fernando, Harindra J. S. 2 Gibbon, John D. 2 Hoang, Luan Thach 2 Issard-Roch, Françoise 2 Milani, Albert J. 2 Moustaoui, Mohamed 2 Pimbley, George H. jun. 2 Sell, George Roger 2 Smaoui, Nejib 2 Thurber, James K. 1 Azzalini, Alexandre 1 Ben-Artzi, Asher 1 Biswas, Animikh 1 Clavin, Paul 1 Dorning, John J. 1 Farge, Marie 1 Fernando, J. 1 Frémond, Michel 1 Giga, Yoshikazu 1 Grüner, George 1 Heiland, Randy W. 1 Jones, Don A. 1 Kevrekidis, Ioannis George 1 Kim, Bong-Sik 1 Kostelich, Eric J. 1 Laine, Claudine 1 Pellegrino, Giulio 1 Qian, Weijie 1 Schneider, Kai 1 Scovel, James C. 1 Seregin, Gregory A. 1 Tse, Frank 1 Zaleski, Stéphane 1 Zhou, Ye all top 5 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 Lectures in Applied Mathematics 1 North-Holland Mathematics Studies 1 Kinetic and Related Models all top 5 Fields 83 Partial differential equations (35-XX) 70 Fluid mechanics (76-XX) 23 Dynamical systems and ergodic theory (37-XX) 12 Geophysics (86-XX) 9 Ordinary differential equations (34-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 2,234 times in 1,455 Documents Cited by ▼ Year ▼ Exponential attractors for dissipative evolution equations. Zbl 0842.58056Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 232 1994 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 203 1989 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013Nicolaenko, B.; Scheurer, B.; Temam, R. 147 1985 Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno 114 1985 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033Hyman, James M.; Nicolaenko, Basil 100 1986 Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil 97 1988 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R. 95 1988 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 88 1989 The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil 86 1986 Back in the saddle again: A computer assisted study of the Kuramoto- Sivashinsky equation. Zbl 0722.35011Kevrekidis, Ioannis G.; Nicolaenko, Basil; Scovel, James C. 80 1990 Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 80 1999 Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109Babin, A.; Mahalov, A.; Nicolaenko, B. 63 1997 Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane 54 1986 Shock profile solutions of the Boltzmann equation. Zbl 0544.76063Caflisch, Russel E.; Nicolaenko, Basil 51 1982 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. Zbl 1013.35065Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 51 2001 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 49 1989 Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096Babin, A.; Mahalov, A.; Nicolaenko, B. 48 1996 Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061Babin, Anatoli; Nicolaenko, Basil 38 1995 Exponential attractors in Banach spaces. Zbl 1040.37069Dung, L.; Nicolaenko, B. 32 2001 Finite dimensional exponential attractors for semilinear wave equations with damping. Zbl 0796.35143Eden, A.; Milani, A. J.; Nicolaenko, B. 25 1992 Remarks on the Kuramoto-Sivashinsky equation. Zbl 0576.35058Nicolaenko, Basil; Scheurer, Bruno 23 1984 On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y. 22 1997 Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger 21 1990 Symmetries and dynamics for 2-D Navier-Stokes flow. Zbl 0899.76113Armbruster, Dieter; Nicolaenko, B.; Smaoui, N.; Chossat, Pascal 20 1996 On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055Babin, A.; Mahalov, A.; Nicolaenko, B. 19 1999 Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020Babin, A.; Mahalov, A.; Nicolaenko, B. 18 2000 On nonlinear eigenvalue problems which extend into free boundaries problems. Zbl 0439.35058Brauner, C. M.; Nicolaenko, B. 17 1980 Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B. 16 1993 On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 15 2007 Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097Babin, A.; Mahalov, A.; Nicolaenko, B. 14 1995 Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099Makhalov, A. S.; Nikolaenko, V. P. 14 2003 On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092Babin, A.; Mahalov, A.; Nicolaenko, B. 13 1998 Nonlinear eigenvalue problems in elliptic variational inequalities: a local study. Zbl 0569.49003Conrad, Francis; Brauner, Claude-Michel; Issard-Roch, Françoise; Nicolaenko, Basil 12 1985 \(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047Mahalov, A.; Nicolaenko, B.; Shilkin, T. 12 2006 Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger 12 1985 Low-dimensional behavior of the pattern formation Cahn-Hilliard equation. Zbl 0581.35041Nicolaenko, Basil; Scheurer, Bruno 11 1985 Phase-space analysis of bursting behavior in Kolmogorov flow. Zbl 1194.76085Armbruster, Dieter; Heiland, Randy; Kostelich, Eric J.; Nicolaenko, Basil 11 1992 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074Giga, Y.; Mahalov, A.; Nicolaenko, B. 10 2007 Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 10 2000 Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007Babin, A.; Mahalov, A.; Nicolaenko, B. 10 1997 Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, H. J. S. 10 2003 Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030Babin, A.; Mahalov, A.; Nicolaenko, B. 9 2001 Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073Clavin, P.; Fife, P.; Nicolaenko, B. 8 1987 Exponential attractors and their relevance to fluid dynamics systems. Zbl 0790.34053Eden, A.; Foias, C.; Nicolaenko, B.; She, Z. S. 8 1993 On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 8 2009 Quelques propriétés des attracteurs pour l’équation de Kuramoto- Sivashinsky. (Some properties of the attractors for the Kuramoto- Sivashinsky equation). Zbl 0555.58017Nicolaenko, Basil; Scheurer, Bruno; Temam, Roger 7 1984 Traveling wave solutions to reaction diffusion systems modelling combustion. Zbl 0573.35042Berestycki, Henri; Nicolaenko, Besil; Scheurer, Bruno 7 1983 Sur une classe de problèmes elliptiques non linéaires. Zbl 0371.35015Brauner, Claude-Michel; Nicolaenko, Basil 7 1978 Resonances and regularity for Boussinesq equations. Zbl 0955.76521Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil 6 1996 Weak shock and bifurcating solutions of the non-linear Boltzmann equation. Zbl 0327.76036Nicolaenko, Basil; Thurber, James K. 6 1975 Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 5 2004 Attractors for the Kuramoto-Sivashinsky equations. Zbl 0596.58024Nicolaenko, B.; Scheurer, B.; Temam, R. 5 1986 Symmetry-breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows. Zbl 0727.76067Nicolaenko, B.; She, Z.-S. 5 1991 Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts. Zbl 1109.76310Babin, A.; Mahalov, A.; Nicolaenko, B. 5 2002 Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil 4 1987 Symmetry-breaking homoclinic chaos in Kolmogorov flows. Zbl 0751.76038Nicolaenko, Basil; She, Zhen-Su 4 1990 Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0810.34056Eden, A.; Foias, C.; Nicolaenko, B. 4 1994 Nouveaux résultats sur les variétés inertielles pour les équations différentielles dissipatives. (New results on the inertial manifolds for dissipative differential equations). Zbl 0591.35064Constantin, Peter; Foiaş, Ciprian; Nicolaenko, Basil; Temam, Roger 4 1986 Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 4 1997 A new homographic approximation to multiphase Stefan problems. Zbl 0536.65090Brauner, C. M.; Frémond, M.; Nicolaenko, B. 3 1983 Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006Golse, François; Mahalov, Alex; Nicolaenko, Basil 3 2008 Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0431.35071Brauner, Claude-Michel; Nicolaenko, Basil 3 1979 Spatio-temporal coherence and chaos in physical systems. Los Alamos Center for Nonlinear Studies Workshop, January 21-24, 1986. Zbl 0604.00013 3 1986 Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079Doering, C. R.; Gibbon, J. D.; Holm, D. D.; Nicolaenko, B. 3 1989 Analyzing bifurcations in the Kolmogorov flow equations. Zbl 0808.35098Armbruster, D.; Nicolaenko, B.; Smaoui, N.; Chossat, P. 3 1994 Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043Hyman, James M.; Nicolaenko, Basil 3 1987 Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L. 3 2007 Existence and continuity of exponential attractors of the three dimensional Navier-Stokes-alpha equations for uniformly rotating geophysical fluids. Zbl 1116.35027Kim, Bong-Sik; Nicolaenko, Basil 3 2006 Dispersion laws for plane wave propagation and the Boltzmann equation. Zbl 0238.35075Nicolaenko, B. 3 1972 Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0445.35042Brauner, Claude-Michel; Nicolaenko, Basil 2 1978 Free boundary value problems as singular limits of nonlinear eigenvalue problems. Zbl 0466.35067Brauner, C. M.; Nicolaenko, B. 2 1980 Singular perturbations and free boundary value problems. Zbl 0469.35016Brauner, C. M.; Nicolaenko, B. 2 1980 Asymptotic flame theory with complex chemistry. Zbl 0515.92030Fife, Paul C.; Nicolaenko, Basil 2 1983 Sur quelques problèmes asymptotiques avec applications à la combustion. Zbl 0526.34044Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno 2 1983 Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil 2 1985 Some mathematical aspects of flame chaos and flame multiplicity. Zbl 0616.35078Nicolaenko, 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 0628.35014Foias, Ciprian; Nicolaenko, Basil; Temam, Roger 2 1986 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 Exponential attractors for non-dissipative systems modeling convection in porous media. Zbl 0959.35026Fabrie, Pierre; Nicolaenko, Basil 2 1996 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 Local exponential attractors for models of phase change for compressible gas dynamics. Zbl 0765.76073Eden, A.; Milani, A.; Nicolaenko, B. 2 1993 Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil 2 2009 An integral identity due to Ramanujan which occurs in neutron transport theory. Zbl 0186.37703Dorning, J. J.; Nicolaenko, B.; Thurber, J. K. 2 1969 A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil 2 1999 On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B. 2 1999 Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395Farge, Marie; Azzalini, Alexandre; Mahalov, Alex; Nicolaenko, Basil; Tse, Frank; Pellegrino, Giulio; Schneider, Kai 2 2002 Perturbation singuliere, solutions multiples et hysteresis dans un problème de biochimie. Zbl 0347.35014Brauner, Claude-Michel; Nicolaenko, Basil 2 1976 Singular perturbation, multiple solutions and hysteresis in a nonlinear problem. Zbl 0373.34007Brauner, C. M.; Nicolaenko, B. 2 1977 Shock wave solutions of the Boltzmann equation as a nonlinear bifurcation problem from the essential spectrum. Zbl 0377.76063Nicolaenko, Basil 2 1975 Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0426.47035Pimbley, George H. jun.; Nicolaenko, Basil 1 1978 Regularization and bounded penalization in free boundary problems. Zbl 0488.35076Brauner, C. M.; Nicolaenko, B. 1 1982 Further solutions of the Falkner-Skan equation for \(\beta=-1\) and \(\gamma=0\). Zbl 0495.76044Brauner, C. M.; Laine, Cl.; Nicolaenko, B. 1 1982 Shock waves and the Boltzmann equation. Zbl 0523.76064Caflisch, Russel; Nicolaenko, Basil 1 1983 Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil 1 2018 Transition layers, angular limiting solutions and internal layers in singularly perturbed nonlinear eigenvalue problems. Zbl 0545.35069Brauner, Claude M.; Nicolaenko, Basil 1 1983 Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012Babin, A.; Mahalov, A.; Nicolaenko, B. 1 1996 Exponential attractor for natural convection in porous medium. (Attracteurs exponentiels pour un modèle de convection naturelle en milieu poreux.) Zbl 0778.76088Fabrie, Pierre; Nicolaenko, Basil 1 1993 Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0789.58051Eden, Alp; Foias, Ciprian; Nicolaenko, Basil 1 1993 Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows. Zbl 0788.76047Nicolaenko, Basil; She, Zhen-Su 1 1993 Inertial manifolds for nonlinear viscoelasticity equations. Zbl 0914.35020Nicolaenko, Basil; Qian, Weijie 1 1998 Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil 1 2018 On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 8 2009 Three-dimensional instabilities in non-parallel shear stratified flows. Zbl 1372.76051Mahalov, Alex; Moustaoui, Mohamed; Nicolaenko, Basil 2 2009 Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006Golse, François; Mahalov, Alex; Nicolaenko, Basil 3 2008 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 15 2007 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074Giga, Y.; Mahalov, A.; Nicolaenko, B. 10 2007 Computational studies of inertia-gravity waves radiated from upper tropospheric jets. Zbl 1161.76479Mahalov, A.; Moustaoui, M.; Nicolaenko, B.; Tse, K. L. 3 2007 \(L_{3,\infty}\)-solutions to the MHD equations. Zbl 1127.35047Mahalov, 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 1116.35027Kim, Bong-Sik; Nicolaenko, Basil 3 2006 Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088Mahalov, 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 1103.35083Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 5 2004 Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity. Zbl 1059.35099Makhalov, A. S.; Nikolaenko, V. P. 14 2003 Quasi-equilibrium dynamics of shear-stratified turbulence in a model tropospheric jet. Zbl 1073.76048Tse, 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 1109.76310Babin, A.; Mahalov, A.; Nicolaenko, B. 5 2002 Vortex tubes in shear-stratified turbulent flows. Zbl 1142.76395Farge, 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 1013.35065Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 51 2001 Exponential attractors in Banach spaces. Zbl 1040.37069Dung, L.; Nicolaenko, B. 32 2001 Strongly stratified limit of 3D primitive equations in an infinite layer. Zbl 1001.76030Babin, A.; Mahalov, A.; Nicolaenko, B. 9 2001 A spectral domain decomposition method and its application to the simulation of shear-stratified turbulence. Zbl 1052.76050Tse, K. L.; Mahalov, A.; Nicolaenko, B.; Fernando, J. 1 2001 Global regularity of 3D rotating Navier-Stokes equations for resonant domains. Zbl 0963.76020Babin, A.; Mahalov, A.; Nicolaenko, B. 18 2000 Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics. Zbl 0962.76020Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 10 2000 Global regularity of \(3D\) rotating Navier-Stokes equations for resonant domains. Zbl 0932.35160Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 80 1999 On the regularity of three-dimensional rotating Euler-Boussinesq equations. Zbl 1035.76055Babin, A.; Mahalov, A.; Nicolaenko, B. 19 1999 A numerical study of an operator splitting method for rotating flows with large ageostrophic initial data. Zbl 0961.76071Jones, Don A.; Mahalov, Alex; Nicolaenko, Basil 2 1999 On regularity of solutions of 3D Navier-Stokes equations. Zbl 1022.76010Avrin, J.; Babin, A.; Mahalov, A.; Nicolaenko, B. 2 1999 On nonlinear baroclinic waves and adjustment of pancake dynamics. Zbl 0957.76092Babin, A.; Mahalov, A.; Nicolaenko, B. 13 1998 Inertial manifolds for nonlinear viscoelasticity equations. Zbl 0914.35020Nicolaenko, Basil; Qian, Weijie 1 1998 Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Zbl 0890.35109Babin, A.; Mahalov, A.; Nicolaenko, B. 63 1997 On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Zbl 0912.76092Babin, A.; Mahalov, A.; Nicolaenko, B.; Zhou, Y. 22 1997 Global splitting and regularity of rotating shallow-water equations. Zbl 0889.76007Babin, A.; Mahalov, A.; Nicolaenko, B. 10 1997 Regularity and integrability of rotating shallow-water equations. Zbl 0883.76014Babin, Anatoli; Mahalov, Alex; Nicolaenko, Basil 4 1997 Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Zbl 0882.76096Babin, A.; Mahalov, A.; Nicolaenko, B. 48 1996 Symmetries and dynamics for 2-D Navier-Stokes flow. Zbl 0899.76113Armbruster, Dieter; Nicolaenko, B.; Smaoui, N.; Chossat, Pascal 20 1996 Resonances and regularity for Boussinesq equations. Zbl 0955.76521Babin, Anatoli V.; Mahalov, Alex; Nicolaenko, Basil 6 1996 Exponential attractors for non-dissipative systems modeling convection in porous media. Zbl 0959.35026Fabrie, Pierre; Nicolaenko, Basil 2 1996 Integrability and regularity of 3D Euler and equations for uniformly rotating fluids. Zbl 0867.76012Babin, A.; Mahalov, A.; Nicolaenko, B. 1 1996 Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061Babin, Anatoli; Nicolaenko, Basil 38 1995 Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Zbl 0872.76097Babin, A.; Mahalov, A.; Nicolaenko, B. 14 1995 Exponential attractors for dissipative evolution equations. Zbl 0842.58056Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 232 1994 Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0810.34056Eden, A.; Foias, C.; Nicolaenko, B. 4 1994 Analyzing bifurcations in the Kolmogorov flow equations. Zbl 0808.35098Armbruster, D.; Nicolaenko, B.; Smaoui, N.; Chossat, P. 3 1994 Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B. 16 1993 Exponential attractors and their relevance to fluid dynamics systems. Zbl 0790.34053Eden, A.; Foias, C.; Nicolaenko, B.; She, Z. S. 8 1993 Local exponential attractors for models of phase change for compressible gas dynamics. Zbl 0765.76073Eden, 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 0778.76088Fabrie, Pierre; Nicolaenko, Basil 1 1993 Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations. Zbl 0789.58051Eden, Alp; Foias, Ciprian; Nicolaenko, Basil 1 1993 Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows. Zbl 0788.76047Nicolaenko, Basil; She, Zhen-Su 1 1993 Finite dimensional exponential attractors for semilinear wave equations with damping. Zbl 0796.35143Eden, A.; Milani, A. J.; Nicolaenko, B. 25 1992 Phase-space analysis of bursting behavior in Kolmogorov flow. Zbl 1194.76085Armbruster, Dieter; Heiland, Randy; Kostelich, Eric J.; Nicolaenko, Basil 11 1992 Symmetry-breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows. Zbl 0727.76067Nicolaenko, B.; She, Z.-S. 5 1991 Back in the saddle again: A computer assisted study of the Kuramoto- Sivashinsky equation. Zbl 0722.35011Kevrekidis, Ioannis G.; Nicolaenko, Basil; Scovel, James C. 80 1990 Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger 21 1990 Symmetry-breaking homoclinic chaos in Kolmogorov flows. Zbl 0751.76038Nicolaenko, Basil; She, Zhen-Su 4 1990 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 203 1989 Some global dynamical properties of a class of pattern formation equations. Zbl 0691.35019Nicolaenko, B.; Scheurer, B.; Temam, R. 88 1989 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 49 1989 Finite dimensionality in the complex Ginzburg-Landau equation. Zbl 0741.35079Doering, 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 0655.58021Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil 97 1988 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R. 95 1988 Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073Clavin, P.; Fife, P.; Nicolaenko, B. 8 1987 Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil 4 1987 Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043Hyman, James M.; Nicolaenko, Basil 3 1987 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033Hyman, James M.; Nicolaenko, Basil 100 1986 The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil 86 1986 Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane 54 1986 Attractors for the Kuramoto-Sivashinsky equations. Zbl 0596.58024Nicolaenko, 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 0591.35064Constantin, Peter; Foiaş, Ciprian; Nicolaenko, Basil; Temam, Roger 4 1986 Spatio-temporal coherence and chaos in physical systems. Los Alamos Center for Nonlinear Studies Workshop, January 21-24, 1986. Zbl 0604.00013 3 1986 Some mathematical aspects of flame chaos and flame multiplicity. Zbl 0616.35078Nicolaenko, 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 0628.35014Foias, Ciprian; Nicolaenko, Basil; Temam, Roger 2 1986 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013Nicolaenko, B.; Scheurer, B.; Temam, R. 147 1985 Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno 114 1985 Nonlinear eigenvalue problems in elliptic variational inequalities: a local study. Zbl 0569.49003Conrad, Francis; Brauner, Claude-Michel; Issard-Roch, Françoise; Nicolaenko, Basil 12 1985 Variétés inertielles pour l’équation de Kuramoto-Sivashinsky. (Inertial manifolds for the Kuramoto-Sivashinsky equation). Zbl 0591.35063Foiaş, Ciprian; Nicolaenko, Basil; Sell, George R.; Temam, Roger 12 1985 Low-dimensional behavior of the pattern formation Cahn-Hilliard equation. Zbl 0581.35041Nicolaenko, Basil; Scheurer, Bruno 11 1985 Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil 2 1985 Nonlinear elliptic variational inequalities with multiple solutions. Zbl 0594.35044Conrad, F.; Issard-Roch, F.; Brauner, C. M.; Nicolaenko, B. 1 1985 Remarks on the Kuramoto-Sivashinsky equation. Zbl 0576.35058Nicolaenko, Basil; Scheurer, Bruno 23 1984 Quelques propriétés des attracteurs pour l’équation de Kuramoto- Sivashinsky. (Some properties of the attractors for the Kuramoto- Sivashinsky equation). Zbl 0555.58017Nicolaenko, Basil; Scheurer, Bruno; Temam, Roger 7 1984 Traveling wave solutions to reaction diffusion systems modelling combustion. Zbl 0573.35042Berestycki, Henri; Nicolaenko, Besil; Scheurer, Bruno 7 1983 A new homographic approximation to multiphase Stefan problems. Zbl 0536.65090Brauner, C. M.; Frémond, M.; Nicolaenko, B. 3 1983 Asymptotic flame theory with complex chemistry. Zbl 0515.92030Fife, Paul C.; Nicolaenko, Basil 2 1983 Sur quelques problèmes asymptotiques avec applications à la combustion. Zbl 0526.34044Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno 2 1983 Shock waves and the Boltzmann equation. Zbl 0523.76064Caflisch, Russel; Nicolaenko, Basil 1 1983 Transition layers, angular limiting solutions and internal layers in singularly perturbed nonlinear eigenvalue problems. Zbl 0545.35069Brauner, Claude M.; Nicolaenko, Basil 1 1983 Shock profile solutions of the Boltzmann equation. Zbl 0544.76063Caflisch, Russel E.; Nicolaenko, Basil 51 1982 Regularization and bounded penalization in free boundary problems. Zbl 0488.35076Brauner, C. M.; Nicolaenko, B. 1 1982 Further solutions of the Falkner-Skan equation for \(\beta=-1\) and \(\gamma=0\). Zbl 0495.76044Brauner, C. M.; Laine, Cl.; Nicolaenko, B. 1 1982 On nonlinear eigenvalue problems which extend into free boundaries problems. Zbl 0439.35058Brauner, C. M.; Nicolaenko, B. 17 1980 Free boundary value problems as singular limits of nonlinear eigenvalue problems. Zbl 0466.35067Brauner, C. M.; Nicolaenko, B. 2 1980 Singular perturbations and free boundary value problems. Zbl 0469.35016Brauner, C. M.; Nicolaenko, B. 2 1980 Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0431.35071Brauner, Claude-Michel; Nicolaenko, Basil 3 1979 Sur une classe de problèmes elliptiques non linéaires. Zbl 0371.35015Brauner, Claude-Michel; Nicolaenko, Basil 7 1978 Sur des problèmes aux valeurs propres non linéaires qui se prolongent en problèmes à frontière libre. Zbl 0445.35042Brauner, Claude-Michel; Nicolaenko, Basil 2 1978 Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0426.47035Pimbley, George H. jun.; Nicolaenko, Basil 1 1978 Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. Zbl 0412.47037Pimbley, George H. jun.; Nicolaenko, Basil 1 1978 Singular perturbation, multiple solutions and hysteresis in a nonlinear problem. Zbl 0373.34007Brauner, C. M.; Nicolaenko, B. 2 1977 Perturbation singuliere, solutions multiples et hysteresis dans un problème de biochimie. Zbl 0347.35014Brauner, Claude-Michel; Nicolaenko, Basil 2 1976 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,676 Authors 39 Titi, Edriss Saleh 33 Miranville, Alain M. 21 Nicolaenko, Basil 21 Temam, Roger Meyer 20 Foiaș, Ciprian 19 Robinson, James Cooper 18 Zelik, Sergey V. 17 Mahalov, Alex 14 Chueshov, Igor’ Dmitrievich 14 Kalantarov, Varga K. 13 Bonfoh, Ahmed S. 12 Gallagher, Isabelle 12 Takata, Shigeru 11 Aoki, Kazuo 11 Guo, Boling 11 Jolly, Michael Summerfield 11 Kevrekidis, Ioannis George 11 Kukavica, Igor 11 Sone, Yoshio 11 Takada, Ryo 10 Berestycki, Henri 10 Duan, Jinqiao 10 Grasselli, Maurizio 10 Hoang, Luan Thach 9 Fiedler, Bernold 9 Golse, François 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 Duan, Renjun 8 Eden, Alp 8 Feireisl, Eduard 8 Gao, Hongjun 8 Rocha, Carlos 8 Yang, Tong 8 Yoneda, Tsuyoshi 8 Yu, Hongjun 7 Constantin, Peter 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 Zhong, Chengkui 7 Zhou, Shengfan 6 Charve, Frédéric 6 Cherfils, Laurence 6 Coclite, Giuseppe Maria 6 Dai, Zhengde 6 Debussche, Arnaud 6 Di Ruvo, Lorenzo 6 Gatti, Stefania 6 Hieber, Matthias 6 Nguyen Thieu Huy 6 Novotný, Antonín 6 Perthame, Benoît 6 Roquejoffre, Jean-Michel 6 Shen, Wenxian 6 Smyrlis, Yiorgos-Sokratis 6 You, Bo 6 Yu, Shih-Hsien 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 Doelman, Arjen 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 Kostianko, Anna 5 Le, Anh Minh 5 Li, Fang 5 Lorenzi, Luca 5 Masmoudi, Nader 5 Mazzucato, Anna L. 5 Monneau, Régis 5 Novick-Cohen, Amy 5 Ryzhik, Lenya 5 Saint-Raymond, Laure 5 Smith, Leslie M. 5 Sun, Ji Tao 5 Tian, Qianzhu ...and 1,576 more Authors all top 5 Cited in 260 Serials 95 Journal of Differential Equations 95 Physica D 65 Journal of Mathematical Analysis and Applications 40 Nonlinear Analysis. 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