Edit Profile Krylov, Alexander L. Compute Distance To: Compute Author ID: krylov.alexander-l Published as: Krylov, A.; Krylov, A. L.; Krylov, Alexander L. Documents Indexed: 32 Publications since 1957 all top 5 Co-Authors 12 single-authored 9 El, Gennady A. 7 Gurevich, Aleksandr Viktorovich 3 Mazur, Nikolay G. 2 Venakides, Stephanos 1 Arnol’d, Vladimir Igorevich 1 Geogjaev, Vladimir V. 1 Kamchatnov, Anatoly M. 1 Lifshits, A. E. 1 Malykhina, I. D. 1 Molchanov, Stanislav Alekseevich 1 Nikolaevskij, Viktor N. 1 Shuster, V. G. 1 Topor, D. N. all top 5 Serials 8 Soviet Physics. Doklady 5 Doklady Akademii Nauk SSSR 5 Soviet Mathematics. Doklady 2 Physica D 1 Communications on Pure and Applied Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 PMM, Journal of Applied Mathematics and Mechanics all top 5 Fields 9 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 19 Publications have been cited 69 times in 60 Documents Cited by ▼ Year ▼ Decay of an initial discontinuity in the defocusing NLS hydrodynamics. Zbl 1194.35407El, G. A.; Geogjaev, V. V.; Gurevich, A. V.; Krylov, A. L. 16 1995 Unified approach to KdV modulations. Zbl 1032.35156El, Gennady A.; Krylov, Alexander L.; Venakides, Stephanos 8 2001 General solution of the Cauchy problem for the defocusing NLS equation in the Whitham limit. Zbl 1020.35529El, Gennady A.; Krylov, Alexander L. 7 1995 Nondissipative shock waves in two-phase flows. Zbl 0816.35121Elperin, T.; Kleeorin, N.; Krylov, A. 4 1994 Difference approximation to differential operators of mathematical physics. Zbl 0169.43001Krylov, A. L. 4 1968 Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region. Zbl 0237.34008Arnol’d, V. I.; Krylov, A. L. 4 1963 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 3 2001 Solution of planar problems of the hydrodynamics of porous media near tensile defects by the complex potential method. Zbl 0657.76079Gurevich, A. V.; Krylov, A. L.; Topor, D. N. 3 1988 Stability of the central position of a jounal in a hydrodynamic bearing. Zbl 0166.46202Krylov, A. L.; Shuster, V. G. 3 1966 On the stability of the Poiseuille flow in a flat channel. Zbl 0147.46001Krylov, A. L. 3 1966 A proof of the instability of a certain type of flows of a viscous incompressible liquid. Zbl 0139.21903Krylov, A. L. 3 1963 Evolution of a localized perturbation in Korteweg-de Vries hydrodynamics. Zbl 0809.76010Gurevich, A. V.; Krylov, A. L.; Mazur, N. G.; Ehl’, G. A. 2 1992 Asymptotic approximation of solutions of weakly linear differential systems. Zbl 0587.35011Krylov, A. 2 1985 On a necessary and sufficient condition which can be used as a test that a given function belongs to the class \(W_p^{(1)}\) of Sobolev. Zbl 0085.04405Krylov, A. L. 2 1958 Gradient-consistent non-linear model of the generation of ultrasound in the propagation of seismic waves. Zbl 0807.73018Krylov, A. L.; Mazur, N. G.; Nikolaevskij, V. N.; Ehl’, G. A. 1 1993 A shock wave in dispersive hydrodynamics. Zbl 0659.76072Gurevich, A. V.; Krylov, A. L. 1 1988 On hyperbolic systems with nonpropagating perturbations. Zbl 0489.35050Krylov, A. L.; Lifshits, A. E. 1 1980 Investigation on the stability of a plane Poiseuille flow for the Navier-Stokes equation. Zbl 0233.76083Krylov, A. L.; Malykhina, I. D. 1 1970 Cauchy problem for Laplace’s equation in the complex domain. Zbl 0196.12303Krylov, A. L. 1 1969 Unified approach to KdV modulations. Zbl 1032.35156El, Gennady A.; Krylov, Alexander L.; Venakides, Stephanos 8 2001 Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. Zbl 0981.60101El, Gennady A.; Krylov, Alexander L.; Molchanov, Stanislav A.; Venakides, Stephanos 3 2001 Decay of an initial discontinuity in the defocusing NLS hydrodynamics. Zbl 1194.35407El, G. A.; Geogjaev, V. V.; Gurevich, A. V.; Krylov, A. L. 16 1995 General solution of the Cauchy problem for the defocusing NLS equation in the Whitham limit. Zbl 1020.35529El, Gennady A.; Krylov, Alexander L. 7 1995 Nondissipative shock waves in two-phase flows. Zbl 0816.35121Elperin, T.; Kleeorin, N.; Krylov, A. 4 1994 Gradient-consistent non-linear model of the generation of ultrasound in the propagation of seismic waves. Zbl 0807.73018Krylov, A. L.; Mazur, N. G.; Nikolaevskij, V. N.; Ehl’, G. A. 1 1993 Evolution of a localized perturbation in Korteweg-de Vries hydrodynamics. Zbl 0809.76010Gurevich, A. V.; Krylov, A. L.; Mazur, N. G.; Ehl’, G. A. 2 1992 Solution of planar problems of the hydrodynamics of porous media near tensile defects by the complex potential method. Zbl 0657.76079Gurevich, A. V.; Krylov, A. L.; Topor, D. N. 3 1988 A shock wave in dispersive hydrodynamics. Zbl 0659.76072Gurevich, A. V.; Krylov, A. L. 1 1988 Asymptotic approximation of solutions of weakly linear differential systems. Zbl 0587.35011Krylov, A. 2 1985 On hyperbolic systems with nonpropagating perturbations. Zbl 0489.35050Krylov, A. L.; Lifshits, A. E. 1 1980 Investigation on the stability of a plane Poiseuille flow for the Navier-Stokes equation. Zbl 0233.76083Krylov, A. L.; Malykhina, I. D. 1 1970 Cauchy problem for Laplace’s equation in the complex domain. Zbl 0196.12303Krylov, A. L. 1 1969 Difference approximation to differential operators of mathematical physics. Zbl 0169.43001Krylov, A. L. 4 1968 Stability of the central position of a jounal in a hydrodynamic bearing. Zbl 0166.46202Krylov, A. L.; Shuster, V. G. 3 1966 On the stability of the Poiseuille flow in a flat channel. Zbl 0147.46001Krylov, A. L. 3 1966 Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region. Zbl 0237.34008Arnol’d, V. I.; Krylov, A. L. 4 1963 A proof of the instability of a certain type of flows of a viscous incompressible liquid. Zbl 0139.21903Krylov, A. L. 3 1963 On a necessary and sufficient condition which can be used as a test that a given function belongs to the class \(W_p^{(1)}\) of Sobolev. Zbl 0085.04405Krylov, A. L. 2 1958 all cited Publications top 5 cited Publications all top 5 Cited by 83 Authors 13 El, Gennady A. 6 Hoefer, Mark A. 6 Smyth, Noel F. 5 Grimshaw, Roger Hamilton James 5 Kamchatnov, Anatoly M. 2 An, Xiyue 2 Kholodovskij, S. E. 2 Marchant, Tim R. 2 Ovchinnikova, S. N. 2 Pavlov, Maxim V. 2 Shashkov, Mikhail J. 2 Terekhin, A. P. 2 Yudovich, Viktor Iosifovich 1 Ablowitz, Mark Jay 1 Albeverio, Sergio A. 1 Andrejchenko, D. K. 1 Andrejchenko, K. P. 1 Barnhill, Robert E. 1 Biondini, Gino 1 Bowen, Lewis Phylip 1 Bridges, Thomas J. 1 Bufetov, Aleksandr Igorevich 1 Chang, Jui-Jane 1 Chelyshkov, Vladimir S. 1 Chernyavskii, V. M. 1 Coclite, Giuseppe Maria 1 Congy, Thibault 1 Dai, Chaoqing 1 Dezin, Alekseĭ Alekseevich 1 Engels, Philipp 1 Gavrilyuk, Sergey L. 1 Grava, Tamara 1 Guivarc’h, Yves 1 Hyman, James M. 1 Ivanov, S. K. 1 Johnson, Mathew A. 1 Khodorovskii, V. V. 1 Klimenko, Alexey V. 1 Kong, Liang-Qian 1 Kraenkel, Roberto A. 1 Kußmaul, R. 1 Leszczyszyn, A. M. 1 Lifshits, A. E. 1 Lipnikov, Konstantin N. 1 Lowman, Nicholas K. 1 Ly, Ibrahim 1 Lyubin, L. Ya. 1 Lyubina, Yu. L. 1 Mal’tsev, Andreĭ Yakovlevich 1 Manzini, Gianmarco 1 Mishra, Siddhartha 1 Nevo, Amos 1 Nguyen, Lu Trong Khiem 1 Nkonga, Boniface 1 Novokshenov, Viktor Yur’evich 1 Pavloff, Nicolas 1 Perkins, Wesley R. 1 Pospelov, V. V. 1 Risebro, Nils Henrik 1 Rusanov, Viktor Vladimirovich 1 Shtaras, A. L. 1 Shtemler, Yuri M. 1 Shyue, Keh-Ming 1 Skobelev, B. Yu. 1 Sprenger, Patrick 1 Suris, A. L. 1 Taranov, Volodymyr B. 1 Tarkhanov, Nikolai N. 1 Tovbis, Alexander 1 Trogdon, Thomas 1 Truskinovsky, Lev 1 Umarov, B. A. 1 van Horssen, Wilhem Teunis 1 Varjú, Péter Pál 1 Wang, Dengshan 1 Wang, Lei 1 Weber, Franziska 1 Wen, Xiaoyong 1 Williams, Floyd L. 1 Wright, Otis Clarence III 1 Xu, Ling 1 Zegarlinski, Boguslaw 1 Zykov, Sergei A. all top 5 Cited in 38 Serials 8 Physica D 5 Fluid Dynamics 5 Chaos 3 Journal of Applied Mathematics and Mechanics 3 Nonlinearity 2 Siberian Mathematical Journal 2 Studies in Applied Mathematics 2 Journal of Nonlinear Science 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Prikladnaya Matematika i Mekhanika 1 Bulletin de la Société Mathématique de France 1 Computing 1 Functional Analysis and its Applications 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 European Journal of Combinatorics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Physics of Fluids 1 Nonlinear Dynamics 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Groups, Geometry, and Dynamics 1 Advances in Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 21 Fields 29 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 12 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year