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Kurdyumov Sergei Pavlovich

Publications in Math-Net.Ru

  1. Historical dynamics. Synergetics approach

    Keldysh Institute preprints, 2004, 085, 16 pp.
  2. The spectrum of the eigenfunctions of a self-similar problem for the nonlinear heat equation with a source

    Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004),  1619–1637
  3. Blow-up regimes in a demographic system: Scenario of increase in the nonlinearity

    Zh. Vychisl. Mat. Mat. Fiz., 40:2 (2000),  238–251
  4. A mathematical model of global demographic processes with regard to the spatial distribution

    Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  885–902
  5. Mathematical Model of Global Demographic Processes

    Keldysh Institute preprints, 1996, 097
  6. Self-similar solutions of the quasilinear heat equation with distributed density and nonlinear volume sources

    Differ. Uravn., 31:10 (1995),  1722–1733
  7. Structure of linear approximation for eigenfunctions of LS-regme in multicomponent media

    Mat. Model., 3:10 (1991),  23–30
  8. An approximate study of symmetric localized structures

    Dokl. Akad. Nauk SSSR, 314:2 (1990),  327–331
  9. Regimes with sharpening in two-component media

    Mat. Model., 1:1 (1989),  34–50
  10. On the method of stationary states for quasilinear parabolic equations

    Mat. Sb., 180:8 (1989),  995–1016
  11. Numerical analysis of the eigenfunctions for the combustion of a nonlinear medium in the radial-symmetric case

    Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989),  1688–1704
  12. Thermodiffusion oscillations in gas mixtures in a laser radiation field

    Dokl. Akad. Nauk SSSR, 303:6 (1988),  1357–1360
  13. Localization in a nonlinear problem of radiation-induced ignition

    Dokl. Akad. Nauk SSSR, 302:1 (1988),  68–71
  14. The structure of limit distributions of unbounded solutions of quasilinear parabolic equations

    Dokl. Akad. Nauk SSSR, 301:4 (1988),  781–785
  15. Invariant solutions of the heat equation that describe the directed propagation of combustion and spiral waves in a nonlinear medium

    Dokl. Akad. Nauk SSSR, 299:2 (1988),  346–350
  16. A nonlinear boundary value problem of ignition by radiation

    Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988),  549–559
  17. Unsteady heat structures in a nonlinear medium with heat sinks

    Dokl. Akad. Nauk SSSR, 290:3 (1986),  595–599
  18. On the classification of the solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986),  207–313
  19. A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986),  95–205
  20. The theory of modes with peaking in compressible media

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986),  3–94
  21. Complex multidimensional structures of the combustion of a nonlinear medium

    Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986),  1189–1205
  22. A nonlinear elliptic problem with a complex spectrum of solutions

    Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986),  398–407
  23. Some properties of a mathematical model for laser heating of metals in the air

    Dokl. Akad. Nauk SSSR, 281:1 (1985),  55–59
  24. Asymptotic stability of self-similar solutions of an equation of heat conduction with a nonlinear sink

    Dokl. Akad. Nauk SSSR, 281:1 (1985),  23–28
  25. A nonlinear problem of laser thermochemistry. II

    Differ. Uravn., 21:12 (1985),  2097–2105
  26. A nonlinear problem of laser thermochemistry. I

    Differ. Uravn., 21:11 (1985),  1947–1958
  27. A parabolic system of quasilinear equations. II

    Differ. Uravn., 21:9 (1985),  1544–1559
  28. On asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation

    Mat. Sb. (N.S.), 126(168):4 (1985),  435–472
  29. A new class of asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985),  1833–1839
  30. Diffusion-induced chaos in nonlinear dissipative systems

    Dokl. Akad. Nauk SSSR, 279:5 (1984),  1091–1096
  31. A nonlinear problem of laser thermochemistry

    Dokl. Akad. Nauk SSSR, 279:4 (1984),  838–842
  32. Classification of two-component systems in a neighborhood of a bifurcation point

    Dokl. Akad. Nauk SSSR, 279:3 (1984),  591–595
  33. On the method of stationary states for nonlinear evolution parabolic problems

    Dokl. Akad. Nauk SSSR, 278:6 (1984),  1296–1300
  34. The architecture of multidimensional heat structures

    Dokl. Akad. Nauk SSSR, 274:5 (1984),  1071–1075
  35. Asymptotic stability of invariant solutions of nonlinear equations of heat conduction with a source

    Differ. Uravn., 20:4 (1984),  614–632
  36. On approximate self-similar solutions of a class of quasilinear heat equations with a source

    Mat. Sb. (N.S.), 124(166):2(6) (1984),  163–188
  37. A parabolic system of quasilinear equations. I

    Differ. Uravn., 19:12 (1983),  2123–2140
  38. Nonstationary dissipative structures in a nonlinear heat-conducting medium

    Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983),  380–390
  39. Nonsteady dissipative structures in nonlinear two-component media with three-dimensional sources

    Dokl. Akad. Nauk SSSR, 258:5 (1981),  1084–1088
  40. Dissipative structures in trigger media

    Differ. Uravn., 17:10 (1981),  1875–1885
  41. Localization of heat in nonlinear media

    Differ. Uravn., 17:10 (1981),  1826–1841
  42. Unbounded solutions of the Cauchy problem for the parabolic equation $u_t=\nabla(u^\sigma\nabla u)+u^\beta$

    Dokl. Akad. Nauk SSSR, 252:6 (1980),  1362–1364
  43. Interaction of dissipative heat structures in nonlinear media

    Dokl. Akad. Nauk SSSR, 251:4 (1980),  836–839
  44. Dissipative structures in an inhomogeneous nonlinear burning medium

    Dokl. Akad. Nauk SSSR, 251:3 (1980),  587–591
  45. Asymptotic phase of modes with peaking and effective localization of heat in problems of nonlinear heat conduction

    Differ. Uravn., 16:7 (1980),  1196–1204
  46. Comparison of solutions to parabolic equations

    Dokl. Akad. Nauk SSSR, 248:3 (1979),  586–589
  47. Localization of diffusion processes in media with constant properties

    Dokl. Akad. Nauk SSSR, 247:2 (1979),  349–353
  48. An approach to the comparison of solutions of parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1451–1461
  49. Combustion of a nonlinear medium in the form of complex structures

    Dokl. Akad. Nauk SSSR, 237:6 (1977),  1330–1333
  50. $N$- and $S$-modes of self-similar compression of a finite mass of plasma and properties of the modes with peaking

    Prikl. Mekh. Tekh. Fiz., 18:1 (1977),  3–23
  51. Thermal structures and fundamental length in a medium with nonlinear heat conduction and volume heat sources

    Dokl. Akad. Nauk SSSR, 227:2 (1976),  321–324
  52. Effect of the met as table localization of heat in a medium with nonlinear heat conduction

    Dokl. Akad. Nauk SSSR, 223:6 (1975),  1344–1347
  53. Analysis of physical processes in targets heated by laser radiation of 200–300 J energy

    Kvantovaya Elektronika, 2:8 (1975),  1816–1818
  54. Rise of structures the self-preservation mode of plasma contraction

    Dokl. Akad. Nauk SSSR, 219:3 (1974),  578–581
  55. Self-preserving mode of plasma finite mass compression

    Dokl. Akad. Nauk SSSR, 218:6 (1974),  1306–1309
  56. Formation of $T$-layers in the process of plasma deceleration by a magnetic field

    Dokl. Akad. Nauk SSSR, 216:6 (1974),  1254–1257
  57. Magnetohydrodynamic model of unsteady acceleration of plasma

    Dokl. Akad. Nauk SSSR, 206:2 (1972),  307–310
  58. Different modes of heating when high-power radiation fluxes interact with a material

    Prikl. Mekh. Tekh. Fiz., 13:5 (1972),  41–48
  59. The self-modelling problem of a heavy current discharge in a plasma

    Zh. Vychisl. Mat. Mat. Fiz., 10:6 (1970),  1447–1457
  60. Развитие конечных локальных возмущений электропроводности в потоке слабопроводящего газа в присутствии магнитного поля

    TVT, 7:3 (1969),  471–478
  61. A finite-difference method for the solution of one-dimensional non-stationary problems in magneto-hydrodynamics

    Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968),  1025–1038
  62. Non-linear effect of formation in self sustained high temperature electrically conducting gas layer in non-stationary processes of magnetic hydrodynamics

    Dokl. Akad. Nauk SSSR, 173:4 (1967),  808–811
  63. Travelling waves in a medium with non-linear heat conduction

    Zh. Vychisl. Mat. Mat. Fiz., 5:2 (1965),  199–217
  64. The solution of the homogeneous plane problem of the motion of a piston in an ideal heat-conducting gas

    Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963),  159–169

  65. A. V. Gulin (A tribute on the occasion of his 60th birthday)

    Differ. Uravn., 38:7 (2002),  870–874
  66. Yurii Petrovich Popov (A Tribute in Honor of His Sixtieth Birthday)

    Differ. Uravn., 37:5 (2001),  579–585
  67. Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)

    Differ. Uravn., 35:2 (1999),  147–151
  68. Stanislav Ivanovich Pokhozhaev (on the occasion of his sixtieth birthday)

    Differ. Uravn., 31:9 (1995),  1443–1448
  69. Aleksandr Andreevich Samarskiǐ (on the occasion of his seventy-fifth birthday)

    Differ. Uravn., 30:7 (1994),  1107–1110
  70. The 75th anniversary of Aleksandr Andreevich Samarskij

    Mat. Model., 6:6 (1994),  139–142
  71. Nikolai Nikolaevich Chentsov (obituary)

    Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168
  72. Oleg Vyacheslavovich Lokutsievskii (obituary)

    Uspekhi Mat. Nauk, 46:2(278) (1991),  203–204
  73. Aleksandr Andreevich Samarskiǐ (on the occasion of his seventieth birthday)

    Differ. Uravn., 25:12 (1989),  2027–2043
  74. Aleksandr Andreevich Samarskii (the 70th anniversary)

    Mat. Model., 1:2 (1989),  165–166
  75. Letter to the Editor

    Mat. Sb. (N.S.), 131(173):3(11) (1986),  413

© Steklov Math. Inst. of RAS, 2026