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Nefedov Nikolai Nikolaevich

Publications in Math-Net.Ru

  1. Operator model of the Benard problem and its spectral analysis

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 2,  23–29
  2. Existence and asymptotic behavior of solutions of boundary value problems for Tiknohov-type reaction–diffusion systems in the case of stability exchange

    Mat. Zametki, 116:6 (2024),  947–955
  3. Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems

    Mat. Zametki, 115:2 (2024),  276–285
  4. Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities

    TMF, 220:1 (2024),  137–153
  5. On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources

    TMF, 215:2 (2023),  297–310
  6. “Fast” solution of the three-dimensional inverse problem of quasi-static elastography with the help of the small parameter method

    Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023),  449–464
  7. Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion

    Mat. Zametki, 112:4 (2022),  601–612
  8. Boundary control of fronts in a Burgers-type equation with modular adhesion and periodic amplification

    TMF, 212:2 (2022),  179–189
  9. Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions

    TMF, 212:1 (2022),  83–94
  10. Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain

    Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1851–1860
  11. Solution of the two-dimensional inverse problem of quasistatic elastography with the help of the small parameter method

    Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022),  854–860
  12. On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem

    Mat. Zametki, 110:6 (2021),  899–910
  13. Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms

    TMF, 207:2 (2021),  293–309
  14. Development of methods of asymptotic analysis of transition layers in reaction–diffusion–advection equations: theory and applications

    Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  2074–2094
  15. On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity

    Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  26–31
  16. On a periodic inner layer in the reaction–diffusion problem with a modular cubic source

    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1513–1532
  17. Asymptotic solution of coefficient inverse problems for Burgers-type equations

    Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  975–984
  18. Existence and Asymptotic Stability of Periodic Two-Dimensional Contrast Structures in the Problem with Weak Linear Advection

    Mat. Zametki, 106:5 (2019),  708–722
  19. Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source

    Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  611–620
  20. Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion models

    Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  50–62
  21. Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection

    Izv. RAN. Ser. Mat., 82:5 (2018),  131–152
  22. Existence and stability of the periodic solution with an interior transitional layer in the problem with a weak linear advection

    Model. Anal. Inform. Sist., 25:1 (2018),  125–132
  23. Asymptotic approximation of the solution of the reaction-diffusion-advection equation with a nonlinear advective term

    Model. Anal. Inform. Sist., 25:1 (2018),  18–32
  24. Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation

    Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  1989–2001
  25. Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation

    Model. Anal. Inform. Sist., 24:3 (2017),  322–338
  26. Moving front solution of the reaction-diffusion problem

    Model. Anal. Inform. Sist., 24:3 (2017),  259–279
  27. Existence and stability of the solutions with internal layers in multidimensional problems of the reaction-diffusion-advection type with balanced nonlinearity

    Model. Anal. Inform. Sist., 24:1 (2017),  31–38
  28. Time-independent reaction-diffusion equation with a discontinuous reactive term

    Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  854–866
  29. Existence and stability of periodic solutions for reaction-diffusion equations in the two-dimensional case

    Model. Anal. Inform. Sist., 23:3 (2016),  342–348
  30. Analytic-numerical approach to solving singularly perturbed parabolic equations with the use of dynamic adapted meshes

    Model. Anal. Inform. Sist., 23:3 (2016),  334–341
  31. Asymptotics, stability and region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of a multiple root of the degenerate equation

    Model. Anal. Inform. Sist., 23:3 (2016),  248–258
  32. Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term

    Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015),  2042–2048
  33. Asymptotics of the front motion in the reaction-diffusion-advection problem

    Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014),  1594–1607
  34. Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity

    Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1270–1280
  35. Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection

    Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  365–376
  36. The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation

    Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1042–1047
  37. Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor

    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1081–1090
  38. Front formation and dynamics in the reaction-diffusion-advection model

    Mat. Model., 22:8 (2010),  109–118
  39. General scheme of asymptotic investigation of stable contrast structures

    Nelin. Dinam., 6:1 (2010),  181–186
  40. Singularly perturbed problems with boundary and internal layers

    Trudy Mat. Inst. Steklova, 268 (2010),  268–283
  41. Simulation of in-situ combustion front dynamics

    Num. Meth. Prog., 11:4 (2010),  306–312
  42. Front motion in a parabolic reaction-diffusion problem

    Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010),  276–285
  43. On immediate-delayed exchange of stabilities and periodic forced canards

    Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008),  46–61
  44. On the formation of sharp transition layers in two-dimensional reaction-diffusion models

    Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007),  1356–1364
  45. The Cauchy problem for a singularly perturbed integro-differential Fredholm equation

    Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  655–664
  46. Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case

    Differ. Uravn., 42:5 (2006),  690–700
  47. Spike-type contrast structures in reaction-diffusion systems

    Fundam. Prikl. Mat., 12:5 (2006),  121–134
  48. The Cauchy problem for a singularly perturbed Volterra integro-differential equation

    Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  805–812
  49. Stationary internal layers in a reaction-advection-diffusion integro-differential system

    Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  624–646
  50. Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations

    Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  615–623
  51. Change of the type of contrast structures in parabolic Neumann problems

    Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  41–55
  52. Analytical-numerical investigation of delayed exchange of stabilities in singularly perturbed parabolic problems

    Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004),  1281–1288
  53. Delay of exchange of stabilities in singularly perturbed parabolic problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  121–130
  54. Boundary-layer solutions to quasilinear integro-differential equations of the second order

    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  491–503
  55. On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation

    Zh. Vychisl. Mat. Mat. Fiz., 42:2 (2002),  185–196
  56. Asymptotic stability of contrasting structures of step-like data type in singularly perturbed integro-differential equations in two-dimensional case

    Mat. Model., 13:12 (2001),  65–74
  57. Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1057–1066
  58. The asymptotic method of differential inequalities for singularly perturbed integro-differential equations

    Differ. Uravn., 36:10 (2000),  1398–1404
  59. An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability

    Differ. Uravn., 36:2 (2000),  262–269
  60. A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability

    Mat. Zametki, 63:3 (1998),  354–362
  61. Asymptotic Theory of Contrasting Structures. A Survey

    Avtomat. i Telemekh., 1997, no. 7,  4–32
  62. Space-periodic contrast structures in singularly perturbed elliptic problems

    Dokl. Akad. Nauk, 351:6 (1996),  731–734
  63. Two-dimensional contrast structures of step type: asymptotics, existence and stability

    Dokl. Akad. Nauk, 349:5 (1996),  603–605
  64. The method of differential inequalities for nonlinear singularly perturbed problems with contrast structures of step type in the critical case

    Differ. Uravn., 32:11 (1996),  1529–1537
  65. An internal transition layer in a singularly perturbed initial-value problem

    Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996),  105–111
  66. The method of differential inequalities for some classes of nonlinear singularly perturbed problems with internal layers

    Differ. Uravn., 31:7 (1995),  1142–1149
  67. The method of differential inequalities for some singularly perturbed partial differential equations

    Differ. Uravn., 31:4 (1995),  719–722
  68. Nonstationary contrast structures of spike type in nonlinear singularly perturbed parabolic equations

    Dokl. Akad. Nauk, 336:2 (1994),  165–167
  69. Periodic solutions with boundary layers of a singularly perturbed reaction–diffusion model

    Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1307–1315
  70. Contrast structures of spike type in nonlinear singularly perturbed elliptic equations

    Dokl. Akad. Nauk, 327:1 (1992),  16–19
  71. The nonstationary contrast structures in the reaction-diffusion system

    Mat. Model., 4:8 (1992),  58–65
  72. The contrast structures in the reaction–advection–diffusion equations

    Mat. Model., 3:2 (1991),  135–140
  73. The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity

    Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1023–1035
  74. Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity

    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  226–236
  75. Asymptotic solution of a problem of modeling heat and mass exchange in interpenetrating media

    Differ. Uravn., 21:10 (1985),  1819–1821
  76. A class of singularly perturbed equations

    Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  93–105
  77. A problem in the theory of singular perturbations

    Differ. Uravn., 12:10 (1976),  1736–1747

  78. Andrei Igorevich Shafarevich (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 79:3(477) (2024),  185–188
  79. To the memory of Valentin Fedorovich Butuzov

    Chebyshevskii Sb., 22:4 (2021),  385–387
  80. Ê ñåìèäåñÿòèïÿòèëåòèþ Àëåêñàíäðà Íèêîëàåâè÷à Áîãîëþáîâà

    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1451–1452
  81. Ê âîñüìèäåñÿòèëåòèþ Âàëåíòèíà Ô¸äîðîâè÷à Áóòóçîâà

    Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  169–170
  82. From the editors of the special issue

    Model. Anal. Inform. Sist., 24:3 (2017),  257
  83. On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov

    Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1635–1636
  84. Asymptotic stability via the Krein–Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems

    Regul. Chaotic Dyn., 15:2-3 (2010),  382–389
  85. Valentin Fedorovich Butuzov (on his 60th birthday)

    Uspekhi Mat. Nauk, 54:6(330) (1999),  179–181
  86. Contrast structures in singularly perturbed problems

    Fundam. Prikl. Mat., 4:3 (1998),  799–851

© Steklov Math. Inst. of RAS, 2026