Danilov Vladimir Grigor'evich

Publications in Math-Net.Ru

1. Maslov tunnel asymptotics and random walks on a discrete-time lattice
   
   Mat. Zametki, 116:6 (2024),  881–897
2. Asymptotics of Fundamental Solutions of Parabolic Problems
   
   Mat. Zametki, 115:2 (2024),  219–229
3. О кризисах тепловыделения в потоке жидкости в цилиндре при сверхкритическом давлении
   
   TVT, 62:6 (2024),  877–887
4. Modeling the ice–water phase transition in a tube with small ice buildups on the wall
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024),  1055–1063
5. Asymptotic Solutions of Flow Problems with Boundary Layer of Double-Deck Structures
   
   Mat. Zametki, 112:4 (2022),  521–533
6. Weak Asymptotics Method Approach to the Problem of $\delta$-Shock Wave Interactions
   
   Mat. Zametki, 108:1 (2020),  29–38
7. Double-Deck Structure of the Boundary Layer in Problems of Flow around Localized Perturbations on a Plate
   
   Mat. Zametki, 98:4 (2015),  561–571
8. Численное исследование локализованного возмущения температуры в модели фазового поля в случае слияния свободных границ
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  2080–2092
9. A weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan–Gibbs–Thomson problem
   
   Fundam. Prikl. Mat., 12:6 (2006),  49–66
10. Streamline of a plate with small periodic irregularities
    
    Mat. Model., 15:11 (2003),  91–109
11. The Exponential Asymptotics of Solutions of the Kolmogorov–Feller Equation
    
    Differ. Uravn., 37:9 (2001),  1273–1276
12. Nonlinear concentration waves in adsorption problems
    
    Mat. Model., 12:8 (2000),  107–126
13. Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
    
    TMF, 114:1 (1998),  3–55
14. The problem of phase transition in a phase field system
    
    Dokl. Akad. Nauk, 352:6 (1997),  731–734
15. Filtration of a fluid through a model elastic medium
    
    Dokl. Akad. Nauk, 347:1 (1996),  30–33
16. Asymptotic behavior of the solution of a phase field system, and a modified Stefan problem
    
    Differ. Uravn., 31:3 (1995),  483–491
17. On regularization of initial conditions of the modified Stefan problem
    
    Mat. Zametki, 57:5 (1995),  793–795
18. Method of reflections applied to the construction of the asymptote of Green's function for parabolic equations with variable coefficients
    
    Mat. Zametki, 57:3 (1995),  467–470
19. Asymptotics of nonoscillating fundamental solution of $h$-pseudodifferential equations
    
    Mat. Zametki, 57:2 (1995),  304–306
20. Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem
    
    Mat. Sb., 186:12 (1995),  63–80
21. An example of the computation of the “eye” of a hurricane based on a conjecture of V. P. Maslov
    
    Dokl. Akad. Nauk, 338:1 (1994),  102–105
22. Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations
    
    TMF, 101:2 (1994),  189–199
23. Remarks on heat convection in a porous medium
    
    Dokl. Akad. Nauk, 332:1 (1993),  29–32
24. The asymptotic solution of the equation describing the polytropic gas filtration in a nonhomogeneous porous medium. 2
    
    Mat. Model., 3:3 (1991),  97–108
25. The asymptotic solution of the equation describing the polytropic gas filtration in a nonhomogeneous porous medium. 2
    
    Mat. Model., 3:2 (1991),  119–134
26. Interaction of kinks in the KPP–Fisher equation
    
    Mat. Zametki, 50:3 (1991),  152–154
27. Asymptotic finite solutions of degenerate quasilinear parabolic equations with small diffusion
    
    Mat. Zametki, 50:2 (1991),  77–88
28. Wave solutions of semilinear parabolic equations
    
    TMF, 89:1 (1991),  25–47
29. Asymptotic solutions of traveling wave type for semilinear parabolic equations with a small parameter
    
    Mat. Zametki, 48:2 (1990),  148–151
30. On Maslov's method for constructing combined asymptotics for $h$-pseudodifferential equations
    
    Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989),  411–424
31. A model of thermal silicon oxidation
    
    Mat. Model., 1:11 (1989),  58–67
32. Global formulas for solutions of quasilinear parabolic equations with a small parameter and ill-posedness
    
    Mat. Zametki, 46:1 (1989),  115–117
33. Asymptotic solution of a boundary value problem for a nonlinear nonstationary equation of isothermic filtration of a gas in an inhomogeneous anisotropic porous medium
    
    Dokl. Akad. Nauk SSSR, 301:6 (1988),  1352–1356
34. Correctness of $h$-pseudodifferential equations in the class of asymptotics of exponential type
    
    Mat. Zametki, 44:3 (1988),  406–409
35. Asymptotics of reaction-diffusion equations
    
    Mat. Zametki, 44:1 (1988),  152–153
36. Structure of a weak discontinuity of solutions of quasilinear degenerate parabolic equations
    
    Mat. Zametki, 43:6 (1988),  829–839
37. Burning wave asymptotics in a nonlinear inhomogeneous medium with slowly varying properties
    
    Dokl. Akad. Nauk SSSR, 290:5 (1986),  1089–1094
38. Solutions of the type of localized solitary waves for quasilinear parabolic equations of diffusion with chemical reactions
    
    Dokl. Akad. Nauk SSSR, 287:6 (1986),  1290–1294
39. Pontryagin's duality principle for calculation of an effect of Cherenkov's type in crystals and difference schemes. II
    
    Trudy Mat. Inst. Steklov., 167 (1985),  96–107
40. Pontryagin's duality principle for calculation of an effect of Cherenkov's type in crystals and difference schemes
    
    Trudy Mat. Inst. Steklov., 166 (1984),  130–160
41. Estimates for integral Fourier operators with complex phase
    
    Mat. Zametki, 32:4 (1982),  557–576
42. Estimates for a pseudodifferential canonical operator with complex phase
    
    Dokl. Akad. Nauk SSSR, 244:4 (1979),  800–804
43. On Fourier integral operators
    
    Mat. Sb. (N.S.), 110(152):3(11) (1979),  323–368
44. Quasiinvertibility of functions of ordered operators in the theory of pseudodifferential equations
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 6 (1976),  5–132
45. Stability of difference schemes for first order systems that are well posed in the sense of {Petrovskiĭ}
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 12,  58–60


46. Andrei Igorevich Shafarevich (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 79:3(477) (2024),  185–188