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Levashova Natalia Timurovna

Publications in Math-Net.Ru

  1. Formation of a boundary-layer solution in a problem for a system of reaction-diffusion equations in a limited volume

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 243 (2025),  38–44
  2. Asymptotics of the solution of a system of singularly perturbed differential equations in the forest fire spread models

    TMF, 224:2 (2025),  243–256
  3. Modular-type nonlinearity in the modeling of tumor spheroid growth

    TMF, 224:1 (2025),  118–128
  4. Stabilization of the front in a medium with discontinuous characteristics

    TMF, 220:1 (2024),  93–112
  5. Boundary control problem for the reaction–advection–diffusion equation with a modulus discontinuity of advection

    TMF, 220:1 (2024),  44–58
  6. Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer

    TMF, 215:2 (2023),  269–288
  7. Existence and stability of a stationary solution of the system of diffusion equations in a medium with discontinuous characteristics under various quasimonotonicity conditions

    TMF, 212:1 (2022),  62–82
  8. 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
  9. Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics

    Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1850–1872
  10. 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
  11. Selection of boundary conditions for modeling the turbulent exchange processes within the atmospheric surface layer

    Computer Research and Modeling, 10:1 (2018),  27–46
  12. 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
  13. Upper and lower solutions for the FitzHugh–Nagumo type system of equations

    Model. Anal. Inform. Sist., 25:1 (2018),  33–53
  14. 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
  15. The application of a distributed model of active media for the analysis of urban ecosystems development

    Mat. Biolog. Bioinform., 13:2 (2018),  454–465
  16. The heat equation solution near the interface between two media

    Model. Anal. Inform. Sist., 24:3 (2017),  339–352
  17. Moving front solution of the reaction-diffusion problem

    Model. Anal. Inform. Sist., 24:3 (2017),  259–279
  18. The model of structurization of urban ecosystems as the process of self-organization in active media

    Mat. Biolog. Bioinform., 12:1 (2017),  186–197
  19. Modeling of ecosystems as a process of self-organization

    Mat. Model., 29:11 (2017),  40–52
  20. Two approaches to describe the turbulent exchange within the atmospheric surface layer

    Mat. Model., 29:5 (2017),  46–60
  21. On one model problem for the reaction-diffusion-advection equation

    Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1548–1559
  22. Time-independent reaction-diffusion equation with a discontinuous reactive term

    Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  854–866
  23. The application of the differential inequalities method for proving the existence of moving front solution of the parabolic equations system

    Model. Anal. Inform. Sist., 23:3 (2016),  317–325
  24. The asymptotical analysis for the problem of modeling the gas admixture in the surface layer of the atmosphere

    Model. Anal. Inform. Sist., 23:3 (2016),  283–290
  25. Asymptotics of the front motion in the reaction-diffusion-advection problem

    Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014),  1594–1607
  26. A steplike contrast structure in a singularly perturbed system of elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1427–1447
  27. Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection

    Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  365–376
  28. Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter

    Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  1983–2003
  29. Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod

    Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1160–1182
  30. On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions

    Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  1005–1017
  31. On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions

    Fundam. Prikl. Mat., 1:4 (1995),  907–922

  32. Three-dimensional modelling of turbulent transfer in the atmosphericsurface layer using the theory of contrast structures

    Computer Research and Modeling, 8:2 (2016),  355–367


© Steklov Math. Inst. of RAS, 2026