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Publications in Math-Net.Ru |
Citations |
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1999 |
1. |
A. L. Krylov, G. A. El, “A stochastic description of finite-gap potentials”, Uspekhi Mat. Nauk, 54:2(326) (1999), 175–176 ; Russian Math. Surveys, 54:2 (1999), 439–440 |
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1996 |
2. |
A. M. Kamchatnov, A. L. Krylov, G. A. El, “On asymptotyic evolution of a localized perturbation in the case of one dimensional Landau–Lifshitz equation with one-axis anisotropy”, TMF, 109:1 (1996), 128–136 ; Theoret. and Math. Phys., 109:1 (1996), 1345–1351 |
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1992 |
3. |
A. V. Gurevich, A. L. Krylov, N. G. Mazur, G. A. El, “Evolution of a localized perturbation in Korteweg–de Vries hydrodynamics”, Dokl. Akad. Nauk, 323:5 (1992), 876–879 ; Dokl. Math., 37:4 (1992), 198–200 |
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1991 |
4. |
A. L. Krylov, V. N. Nikolaevskii, G. A. El, “Mathematical model of nonlinear generation of ultrasound
by seismic waves”, Dokl. Akad. Nauk SSSR, 318:6 (1991), 1340–1345 |
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1989 |
5. |
A. V. Gurevich, N. I. Gershenzon, A. L. Krylov, N. G. Mazur, “Solutions of the sine-Gordon equation by the method of modulated
waves (an application to a model of a two-level medium)”, Dokl. Akad. Nauk SSSR, 305:3 (1989), 593–598 ; Dokl. Math., 34:3 (1989), 246–248 |
6. |
A. V. Gurevich, A. L. Krylov, N. G. Mazur, “Quasisimple waves in dispersive hydrodynamics”, Dokl. Akad. Nauk SSSR, 305:2 (1989), 343–347 ; Dokl. Math., 34:3 (1989), 235–236 |
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1988 |
7. |
A. V. Gurevich, A. L. Krylov, “The origin of a nondissipative shock wave”, Dokl. Akad. Nauk SSSR, 301:4 (1988), 851–854 ; Dokl. Math., 33:8 (1988), 603–605 |
8. |
A. V. Gurevich, A. L. Krylov, D. N. Topor, “Solution of two-dimensional problems of the hydrodynamics
of porous media in the vicinity of vertical faults by the complex potential method”, Dokl. Akad. Nauk SSSR, 298:4 (1988), 846–850 |
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9. |
A. V. Gurevich, A. L. Krylov, “A shock wave in dispersive hydrodynamics”, Dokl. Akad. Nauk SSSR, 298:3 (1988), 608–611 |
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1984 |
10. |
A. L. Krylov, A. E. Lifshits, “Langmuir oscillations of a three-dimensionally inhomogeneous
plasma”, Dokl. Akad. Nauk SSSR, 277:1 (1984), 74–76 |
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1983 |
11. |
A. L. Krylov, A. E. Lifshits, “On the localized waves in cold inhomogeneous plasma”, Dokl. Akad. Nauk SSSR, 271:4 (1983), 838–841 |
12. |
A. L. Krylov, A. E. Lifshits, “On the shape of Alfven modes in the axisymmetric adiabatic trap
(magnetosphere)”, Dokl. Akad. Nauk SSSR, 268:3 (1983), 583–587 |
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1982 |
13. |
A. L. Krylov, “On the Biot–Savart law for equilibrium plasma”, Dokl. Akad. Nauk SSSR, 266:2 (1982), 328–330 |
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1980 |
14. |
A. L. Krylov, A. E. Lifshits, “On hyperbolic systems with nonpropagating perturbations”, Dokl. Akad. Nauk SSSR, 252:5 (1980), 1048–1051 |
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1979 |
15. |
A. L. Krylov, A. E. Lifshits, E. N. Fedotov, “On resonance properties of plasma in a curvilinear magnetic field”, Dokl. Akad. Nauk SSSR, 247:5 (1979), 1094–1095 |
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16. |
A. L. Krylov, A. E. Lifshits, “On natural oscillations of anisotropic media”, Dokl. Akad. Nauk SSSR, 247:2 (1979), 347–349 |
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1976 |
17. |
A. L. Krylov, E. N. Fedorov, “On natural oscillation of a confined volume of magnetized cold plasma”, Dokl. Akad. Nauk SSSR, 231:1 (1976), 68–70 |
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1974 |
18. |
A. L. Krylov, “Electric and current quasi-steady fields in the high-latitude ionosphere”, Dokl. Akad. Nauk SSSR, 218:6 (1974), 1310–1312 |
19. |
A. L. Krylov, “Equations of slow electromagnetic phenomena in a strongly magnetized plasma”, Dokl. Akad. Nauk SSSR, 218:5 (1974), 1056–1059 |
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1972 |
20. |
A. L. Krylov, “Two-dimensional model of the magnetosphere with current sheath”, Dokl. Akad. Nauk SSSR, 207:1 (1972), 90–93 |
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1969 |
21. |
A. L. Krylov, “The Cauchy problem for Laplace's equation in the complex domain”, Dokl. Akad. Nauk SSSR, 188:4 (1969), 748–751 |
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1968 |
22. |
A. L. Krylov, “The Cauchy problem for a second order equation with two independent variables in the complex domain”, Dokl. Akad. Nauk SSSR, 183:4 (1968), 765–767 |
23. |
A. L. Krylov, “Difference approximation to differential operators of mathematical physics”, Dokl. Akad. Nauk SSSR, 178:3 (1968), 535–538 |
24. |
A. L. Krylov, “Cauchy problem for Laplace's equation in the theory of electrochemical processing of metal”, Dokl. Akad. Nauk SSSR, 178:2 (1968), 321–323 |
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1966 |
25. |
A. L. Krylov, V. G. Shuster, “Stability of the central position of a jounal in a hydrodynamic bearing”, Dokl. Akad. Nauk SSSR, 169:5 (1966), 1030–1033 |
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1964 |
26. |
A. L. Krylov, “On the stability of a Poiseuille flow in a planar channel”, Dokl. Akad. Nauk SSSR, 159:5 (1964), 978–981 |
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1963 |
27. |
A. L. Krylov, “A proof of the instability of a certain type of flows of a viscous incompressible liquid”, Dokl. Akad. Nauk SSSR, 153:4 (1963), 787–789 |
28. |
V. I. Arnol'd, A. L. Krylov, “Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary
differential equations in a complex domain”, Dokl. Akad. Nauk SSSR, 148:1 (1963), 9–12 |
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1962 |
29. |
A. L. Krylov, “Proof of Dirichlet principle for the first boundary value problem of the nonlinear theory of elasticity”, Dokl. Akad. Nauk SSSR, 146:1 (1962), 54–57 |
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30. |
A. L. Krylov, “Models with finite numbers of degrees of freedom for a certain class of problems in mathematical physics
(difference schemes with conservation law)”, Dokl. Akad. Nauk SSSR, 142:3 (1962), 572–575 |
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1958 |
31. |
A. L. Krylov, “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”, Dokl. Akad. Nauk SSSR, 121:5 (1958), 795–796 |
32. |
A. L. Krylov, “Boundary problems and biorthogonal expansions in Banach spaces”, Dokl. Akad. Nauk SSSR, 119:5 (1958), 865–867 |
33. |
A. L. Krylov, “Propagation of limit equilibrium in the axially-symmetrical twodimensional elastic-loose body case”, Dokl. Akad. Nauk SSSR, 118:5 (1958), 882–883 |
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1957 |
34. |
A. L. Krylov, “The first boundary problem for a non-linear elliptic equation of the second order in a bounded domain with a degenerate boundary”, Dokl. Akad. Nauk SSSR, 115:1 (1957), 42–44 |
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1984 |
35. |
S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:2(236) (1984), 217–221 |
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