Plotnikov Pavel Igorevich

Publications in Math-Net.Ru

1. Gradient flows in the shape optimization theory
   
   Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  71–75
2. Mathematical modeling of neo-Hookean material growth
   
   Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  74–78
3. Modeling the isotropic growth of incompressible neo-Hookean material
   
   Sib. Zh. Ind. Mat., 24:4 (2021),  97–110
4. Concentrations problem for solutions to compressible Navier–Stokes equations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  55–58
5. Volumetric growth of neo-Hookean incompressible material
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  1990–2027
6. Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas
   
   Trudy Mat. Inst. Steklova, 310 (2020),  237–266
7. On the energy of a hydroelastic system: blood flow in an artery with cerebral aneurysm
   
   Prikl. Mekh. Tekh. Fiz., 60:6 (2019),  3–16
8. Bounds for solutions of isothermal equations of viscous gas dynamics
   
   Mat. Sb., 208:8 (2017),  31–55
9. Rotationally symmetric viscous gas flows
   
   Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  382–395
10. Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions
    
    Trudy Mat. Inst. Steklova, 281 (2013),  68–83
11. On equations of motion of a nonlinear hydroelastic structure
    
    Prikl. Mekh. Tekh. Fiz., 49:4 (2008),  174–191
12. Stationary solutions of Navier–Stokes equations for diatomic gases
    
    Uspekhi Mat. Nauk, 62:3(375) (2007),  117–148
13. Analytical extension of a solution to Mac-Leod equation
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 6:2 (2006),  67–75
14. The phase field equations and gradient flows of marginal functions
    
    Sibirsk. Mat. Zh., 42:3 (2001),  651–669
15. Entropy solutions of Buckley–Leverett equations
    
    Sibirsk. Mat. Zh., 41:2 (2000),  400–420
16. Passage to the limit with respect to a small parameter in Cahn–Hilliard equations
    
    Sibirsk. Mat. Zh., 38:3 (1997),  638–656
17. Forward-backward parabolic equations and hysteresis
    
    Zap. Nauchn. Sem. POMI, 233 (1996),  183–209
18. On a certain class of curves arising in a free boundary problem for Stokes flows
    
    Sibirsk. Mat. Zh., 36:3 (1995),  619–627
19. On the nature of intensive interaction between a cloud of interplanetary dust particles and the Earth's atmosphere
    
    Zh. Vychisl. Mat. Mat. Fiz., 35:8 (1995),  1233–1244
20. Passage to the limit with respect to viscosity in an equation with a variable direction of parabolicity
    
    Differ. Uravn., 30:4 (1994),  665–674
21. Morse theory for conditionally-periodic solutions to Hamiltonian systems
    
    Sibirsk. Mat. Zh., 35:3 (1994),  657–673
22. Equations with a variable direction of parabolicity and the hysteresis effect
    
    Dokl. Akad. Nauk, 330:6 (1993),  691–693
23. The Stefan problem with surface tension as a limit of the phase field model
    
    Differ. Uravn., 29:3 (1993),  461–471
24. Generalized solutions to a free boundary problem of motion of a non-newtonian fluid
    
    Sibirsk. Mat. Zh., 34:4 (1993),  127–141
25. Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals
    
    Izv. Akad. Nauk SSSR Ser. Mat., 55:2 (1991),  339–366
26. Periodic solutions of a weakly nonlinear wave equation with an irrational relation of period to interval length
    
    Differ. Uravn., 24:9 (1988),  1599–1607
27. Existence of a countable set of periodic solutions of the problem of forced oscillations for a weakly nonlinear wave equation
    
    Mat. Sb. (N.S.), 136(178):4(8) (1988),  546–560
28. Justification of the Stokes hypothesis in the theory of surface waves
    
    Dokl. Akad. Nauk SSSR, 269:1 (1983),  80–83
29. Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid
    
    Dokl. Akad. Nauk SSSR, 251:3 (1980),  591–594
30. Quasiconformal mappings and problems in hydrodynamics
    
    Prikl. Mekh. Tekh. Fiz., 21:5 (1980),  59–69
31. Incorrectness of a non-linear problem on development of the Taylor instability
    
    Zap. Nauchn. Sem. LOMI, 96 (1980),  240–246
32. Existence of space waves on the surface of ideal fluid
    
    Zap. Nauchn. Sem. LOMI, 84 (1979),  211–219
33. Spatial potential flows with free boundary
    
    Dokl. Akad. Nauk SSSR, 224:6 (1975),  1287–1289


34. Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)
    
    Sibirsk. Mat. Zh., 41:5 (2000),  969–983